This table represents a linear function. x y 0 5 5 15 This graph represents another function.The greater unit rate of the two functions is . The greater y-intercept of the two functions is
Answers
The greater unit rate (slope) of the two functions is 2 (of the first function).
The greater y-intercept of the two functions is 6 (of the second function).
The unit rate (slope) of a linear function is the rise (or fall) in the independent variable for a unit change in the dependent variable.
When the linear function goes through the points (x₁, y₁) and (x₂, y₂), then the unit rate (slope) can be calculated as (y₂ - y₁)/(x₂ - x₁).
The first function goes through the points (0, 5) and (5, 15).
Thus unit rate (slope) of the first function = (15 - 5)/(5 - 0) = 2.
The second function goes through the points (0, 6) and (-4, 0).
Thus unit rate (slope) of the second function = (6 - 0)/(0 - (-4)) = 1.5.
Therefore, the greater unit rate (slope) of the two functions is 2 (of the first function).
The y-intercept of a linear function is the y-coordinate of the point at which the graph of the function intersects the y-axis. It is also shown as the point (0, b).
The y-intercept of the first function is 5, as it passes through the point (0, 5).
The y-intercept of the second function is 6, as it passes through the point (0, 6).
Therefore, the greater y-intercept of the two functions is 6 (of the second function).
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Answer:
2 and 6
Source:
Trust me bro
Related Questions
What is the least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number?
Answers
By completing the square, we have
[tex](x+1)(x+4) = x^2 + 5x + 4 = \left(x+\dfrac52\right)^2 - \dfrac94[/tex]
[tex](x+2)(x+3) = x^2 + 5x + 6 = \left(x + \dfrac52\right)^2 - \dfrac14[/tex]
Then
[tex](x+1)(x+2)(x+3)(x+4) = \left(x+\dfrac52\right)^4 - \dfrac52 \underbrace{\left(x + \dfrac52\right)^2}_{=y} + \dfrac9{16} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = y^2 - \dfrac52 y + \dfrac9{16} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \left(y - \dfrac54\right)^2 - 1 \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \left(\left(x + \dfrac52\right)^2 - \dfrac54\right)^2 - 1[/tex]
This product has a minimum of -1 when
[tex]\left(x + \dfrac52\right)^2 - \dfrac54 = 0[/tex]
which has two real solutions; then the minimum of the overall expression is -1 + 2019 = 2018.
The lsrl after an exponential transformation is log yhat=.4785 + 1.468x. What is the exponential form of the regression?
Answers
Answer:
[tex]10^{0.4785+1.468x}=y[/tex]
Step-by-step explanation:
So I'm assuming when you typed "log yhat=.4785 + 1.468x", you meant to write: [tex]log(y)=0.4785+1.468x[/tex]. And generally a logarithm can be written in the form [tex]log_ba=c[/tex] which can then be rewritten as [tex]b^c=a[/tex], but since the log has no base, it's assumed to be 10. So in this case you have the equation:
[tex]log_{10}y=0.4785+1.468x[/tex], which can then be written in exponential form as:
[tex]10^{0.4785+1.468x}=y[/tex]
7) Which statement about perpendicular lines is true?
A. Perpendicular lines form 90° angles.
B. Perpendicular lines share no points.
C. Perpendicular lines have the same slope.
D. Perpendicular lines are equidistant along their lengths.
Answers
Answer:
is the a. Perpendicular lines form 90° angles.
find a number between 1 5/8 and 1.62501
Answers
Answer:
[tex]1 \frac{125001}{200000}[/tex] or 1.625005
Step-by-step explanation:
To find a number between two numbers, if you're allowed to pick any number you want between those two numbers, one natural choice is the midpoint... the point that is exactly halfway between the two numbers.
Finding a midpoint
To find the midpoint of two numbers, divide their sum by 2:
[tex]\text{midpoint}=\dfrac{\text{first number}+\text{second number}}{2}[/tex]
It is convenient to have both numbers in decimal form or both numbers in fraction form for adding and dividing by 2.
Fraction form:
To convert 1.62501 to a fraction, we note that the last decimal digit is in the hundred-thousandths place, so we'll need a fraction with 100,000 in the denominator.
[tex]1.62501=1\frac{62501}{100000}[/tex]
Using our midpoint formula:
[tex]\text{midpoint} = \dfrac{ 1 \frac{5}{8} + 1 \frac{62501}{100000} } {2}[/tex]
find a common denominator...
[tex]\text{midpoint} = \dfrac{ 1 +(\frac{5}{8})*\frac{12500}{12500} + 1 +\frac{62501}{100000} } {2}[/tex]
[tex]\text{midpoint} = \dfrac{ 1 + \frac{62500}{100000} + 1 +\frac{62501}{100000} } {2}[/tex]
combining like terms...
[tex]\text{midpoint} = \dfrac{ 2 +\frac{125001}{100000} } {2}[/tex]
rewriting the division as multiplication of a reciprocal....
[tex]\text{midpoint} = \left(2 +\frac{125001}{100000} \right) *\dfrac{1}{2}[/tex]
distributing...
[tex]\text{midpoint} = \left(2 *\dfrac{1}{2} +\frac{125001}{100000} *\dfrac{1}{2}\right)[/tex]
[tex]\text{midpoint} = 1 +\frac{125001}{200000}[/tex]
[tex]\text{midpoint} = 1 \frac{125001}{200000}[/tex]
So, [tex]1 \frac{125001}{200000}[/tex] is the midpoint of the two numbers, and is a number that is between them.
Decimal form:
To convert [tex]1 \frac{5}{8}[/tex] to a decimal, we divide 5 by 8. 5 divided by 8 is 0.625.
So, [tex]1 \frac{5}{8}=1.625[/tex]
To find a midpoint of 1.625 and 1.62501, we use our midpoint formula:
Using our midpoint formula:
[tex]\text{midpoint} = \dfrac{ 1.625 + 1.62501} {2}[/tex]
[tex]\text{midpoint} = \dfrac{ 3.25001} {2}[/tex]
[tex]\text{midpoint} =1.625005[/tex]
So, 1.625005 is midpoint of the two numbers, and is a number that is between them.
Extension with decimals:
Knowing the decimal form of the two numbers, 1.625 and 1.62501, we can include trailing zeros at the end of these numbers (since it is to the right of the decimal point), so that 1.625 is equivalent to 1.625000, and 1.62501 is equivalent to 1.625010.
Note that the last two digits are in the millionths place, and that changing the digit in the millionths place for the first number (while leaving all other digits as they are) will also be a number between the two numbers (all 9 of the numbers with a star written below):
1.625000
1.625001*
1.625002*
1.625003*
1.625004*
1.625005*
1.625006*
1.625007*
1.625008*
1.625009*
1.625010
Factor by Grouping.
The ac product of 35x² + 41x + 12 is
The factors of the ac product that add to 41 are
35x² + 41x + 12 =
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x +
)(
and
x +
000
Answers
Answer:
The ac product of [tex]35x^2+41x+12[/tex] is 420.
The factors of the ac product that add to 41 are 20 and 21.
[tex]35x^2+41x+12 =[/tex] [tex](7x+4)(5x+3)[/tex]
Step-by-step explanation:
1) The general form of a quadratic is [tex]ax^2 + bx + c[/tex]. Hence, multiplying 35 by 12 gives you the product of ac, which is 420.
2) We need to find two numbers that multiply to 420 and add up to 41 simultaneously. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.
3) Write [tex]41x[/tex] as a sum.
[tex]35x^2+20x+21x+12[/tex]
Now, we can factor them out by grouping.
[tex]35x^2+20x+21x+12\\5x(7x+4)+3(7x+4)[/tex]
Since, [tex]7x +4[/tex] is common in both of the factors, we only take one of the [tex]7x+4[/tex] along with [tex]5x[/tex] and [tex]3[/tex].
[tex](7x+4)(5x+3)[/tex]
Answer:
[tex]\text{The ac product of }\: 35x^2+41x+12 \text{ is }\boxed{420}\:.[/tex]
[tex]\text{The factors of the ac product that add to 41 are }\:\boxed{20} \: \text{ and }\: \boxed{21}\:.[/tex]
[tex]35x^2+41x+12=\left( \: \boxed{5}\:x+\:\boxed{3}\:\right)\left(\: \boxed{7}\:x+\boxed{4}\:\right)[/tex]
Step-by-step explanation:
Given quadratic:
[tex]35x^2+41x+12[/tex]
Factoring quadratics by grouping
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to ac and sum to b.
[tex]\implies ac=35 \cdot 12 = 420[/tex]
[tex]\implies b = 41[/tex]
Therefore, the two numbers that multiply to 420 and sum to 41 are:
20 and 21
Rewrite b as the sum of these two numbers:
[tex]\implies 35x^2+20x+21x+12[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 5x(7x+4)+3(7x+4)[/tex]
Factor out the common term [tex](7x+4)[/tex] :
[tex]\implies (5x+3)(7x+4)[/tex]
Conclusion
[tex]\text{The ac product of }\: 35x^2+41x+12 \text{ is }\boxed{420}\:.[/tex]
[tex]\text{The factors of the ac product that add to 41 are }\:\boxed{20} \: \text{ and }\: \boxed{21}\:.[/tex]
[tex]35x^2+41x+12=\left( \: \boxed{5}\:x+\:\boxed{3}\:\right)\left(\: \boxed{7}\:x+\boxed{4}\:\right)[/tex]
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The sum of three consecutive even integers is 96
Answers
Answer:
The sum of three consecutive even integers is 96
31+32+33=96
ANSWER ASAP, GIVING BRAINLIEST TO FIRST ANSWER!!!
Which linear inequality represents the graph below?
(-3,3)-(0,1)
Answers
Answer:
if the red line is included it is a. if the red line is excluded it is C. I believe.
Answer:
A
Step-by-step explanation:
the equation of the line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m = [tex]\frac{1-3}{0-(-3)}[/tex] = [tex]\frac{-2}{0+3}[/tex] = - [tex]\frac{2}{3}[/tex]
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = - [tex]\frac{2}{3}[/tex] x + 1 ← equation of line
the solutions to the inequality lie above the line, including the line, in the shaded area , then
y ≥ - [tex]\frac{2}{3}[/tex] x + 1 → A
h(x) = x² +1 k(x)=x-2
(h+k)(2) =
Will give Brainly
Answers
Answer:
(h + k) (2) = 5
Step-by-step explanation:
[tex]h(x) = x{^2} + 1 \space\ \space\ \space\ \space\ \space\ \space\ \space\ k(x) = x -2\\\\[/tex]
(h + k) (x) = h(x) + k(x)
= x² + 1 + x - 2
= x² + x -1
∴ (h + k) (2) = (2)² + 2 -1
= 5
Find the unit rate.
594 chairs in 9 rows
Submit
||
chairs per row
Answers
Answer:
66 chairs
Step-by-step explanation:
Total number of chairs = 594
Total number of rows = 9
Number of chairs per row
= 594/9
= 66 chairs
__________
Hope it helps ⚜
how did you find the height? thats what im confused on. A=(1/2)b x (h)
Answers
A triangle is a three-edged polygon with three vertices. The height of the triangle can be written as h = (2A)/b.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The complete question is:
Given the equation of the area of a triangle. how did you find the height of the triangle? A=(1/2)b x (h)
(Hint: Solve the equation for h)
Given the equation of the area of the triangle. Therefore, the height of the triangle can be written as,
A=(1/2)b x (h)
2A = b x h
h = (2A)/b
where h is the height of the triangle and b is the length of the base of the triangle.
Hence, the height of the triangle can be written as h = (2A)/b.
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117 IS 7.3 PERCENT OF WHAT NUMBER?
Answers
8.541 * 7.3% = 117
A cars odometer reads 12,386 if the driver takes the car to and from work for three days and each trip is 32 miles one way what will the odometer read at the end of the third day
Answers
At the end of the third day, the new reading on the odometer will be 12,578 mi
What will the odometer reading at the end of the third day?
The initial odometer reading is 12,386 miles.
Then, the driver takes drives to and from work, such that each trip is 32 miles. Then each day he drives 2*2mi = 64 miles.
And he does this for 3 days, then the total distance driven is:
3*64mi = 192 miles.
At the end of the third day, the new reading on the odometer will be:
R = 12,386 mi + 192mi = 12,578 mi
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How many ways are there to give 12 identical cookies to three children, so that each child has at least two cookies?
Answers
Simple As you can see 12 cookies are there and 3 children are there so
1 children will have = 12 ÷ 3
= 4
like this each kid will have 4 cookies where 4>2
Which of the set of ordered pairs contains the line 1/3x+y=15
Answers
Answer:
{(-3, 16),(0, 15),(3, 14)}
Step-by-step explanation:
just plug in the points for x and y and solve to see if 15 is the answer you get for all of them which would give you B as your answer
numbers like 0 and 1 and 3 (because it would cancel 1/3x) are good numbers to do quick math with
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Question 18
Which formula is used to find the y-coordinate of the vertex of the quadratic function?
Answers
Answer:
[tex]\frac{-D}{4a}[/tex]
Step-by-step explanation:
y-coordinate is [tex]\frac{-D}{4a}[/tex] where a is coefficient of quadratic polynomial (ax^2+bx+c) and D is discriminant of the quadratic equation when you equate it to zero.
A right prism has a rhombus as a base. the height of the prism is 6 inches and the volume is 144 cubic inches. which could be the lengths of the diagonals of the rhombus?
Answers
If the height of prism is 6 inches and the volume is 144 cubic inches then the lengths of the diagonals of the rhombus will be 6 by 8 inches.
Given right prism has a rhombus as a base. Height of prism is 6 inches and the volume of prism is 144 cubic inches.
A right prism is a prism in which the edges and faces are perpendicular to the base faces.
Volume is the amount of substance a container can hold in its capacity.
Volume of right prism=area of base* height
=[tex]1/2 * d_{1}* d_{2} *6[/tex]
144=(144*2)/6 * [tex]d_{1} d_{2}[/tex]
(144*2)/6=[tex]d_{1} *d_{2}[/tex]
By options we get that the lengths of diagonals could be 6 inches by 8 inches.
Hence the length of diagonals be 6 inches and 8 inches.
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Answer: Hence the length of diagonals be 6 inches and 8 inches.
Step-by-step explanation:
(edg) got it right on test
Rationalize the denominator.
Answers
Hello and Good Morning/Afternoon!
Let's take this problem step-by-step:
What the problem asks for:
⇒ to rationalize the denominator
⇒ rationalize means that you multiply the numerator and
demonimator by the denominator
Let's put that into action:
[tex]\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }[/tex]<== Answer
Hopefully that helps!
la longitud del jardín
de Carme es 15 m 24 cm. la longitud del jardín de su amigo es 2 m 98 cm más que el de Carmen . ¿cuál es la longitud del jardín de su amigo?
Answers
la longitud del jardín del amigo de Carmen es 18 m 22 cm.
¿Qué es una ecuación?Una ecuación se forma cuando dos expresiones algebraicas se igualan usando un signo igual.
Se da que la longitud de Carme
Se sabe que la longitud del jardín de Carmen es de 15 m 24 cm.
y el largo del jardín de su amigo es 2 m 98 cm más largo que el de Carmen.
Sea La longitud del jardín de Carmen es x m
Entonces la ecuación se convierte en
La longitud del jardín de su amigo = x + 2m 98 cm
ahora ,
x = 15m 24cm
Sustituyendo los valores en la ecuación
La longitud del jardín de su amigo = 15m 24cm + 2m 98 cm
1m = 100cm
La longitud del jardín de su amigo = 17 m 122 cm
as 100 cm = 1m
122 cm = 1 m 22 cm
so ,
La longitud del jardín de su amigo = 18 m 22 cm.
Por lo tanto, la longitud del jardín del amigo de Carmen es 18 m 22 cm.
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Describe how the graph of a line with a slop m=1/2 differ from the graph of a line with slop m=2?
Answers
The line with slope = 2 will be closer to the y-axis than the line with slope = 1/2
How to interpret the slopes?The slopes are given as:
Slope = 2
Slope = 1/2
The greater the absolute value of the slope of a linear equation.
The closer the function is to the y-axis
This means that the line with slope = 2 will be closer to the y-axis than the line with slope = 1/2
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Write an equation for the nth term of the arithmetic sequence 8, 3, -2, -7,... Find the 9th term of the sequence.
Answers
Rule: -5
Explanation: 8-5=3 3-5=-2 (-2)-5=(-7) (-7)-5=(-12), etc.
108 centimeters equal how many meters?
Answers
Answer:
1.08 meters
Step-by-step explanation:
Divide by 100 to find this out. 108/100 = 1.08
You can remember this by knowing that the "centi-" prefix means 100 (technically, 100ths). Just like you probably already know 100 cents in a dollar (USD) or 100 years in a century. Even the "cent" in percent means per hundred. There are 100 centimeters in a meter. A centimeter is about as wide as your little finger. A meter is close to a yard.
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Answer: [tex]\textsf{0.108 meters}[/tex]
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Given: [tex]\textsf{108 centimeters}[/tex]
Find: [tex]\textsf{Covert to meters}[/tex]
Solution: In order to convert centimeters to meters we need to divide the amount of centimeters by 100 since there are 100 centimeters in one meter. After doing 108/100 we get 1.08 meters.
Which system of equations is represented in the graph? On a coordinate plane, a horizontal line is at y = negative 2 and another line goes through (0, negative 3) and (6, 0). y = negative 2. x minus 2 y = 6. y = negative 2. x + 2 y = 3. x = negative 2. 2 x minus y = 3. x = negative 2. 2 x + y = negative 3.
Answers
The system of equations that is represented in the graph is:,y = -2.x-2y =6..Option B is correct.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
Two lines may be seen on the graph:
y = -2
The lines pass through (-3) and (6, 0). We use the slope-intercept form to get the second line's equation: y=mx+c
m = 0-(-3)/(6-0)
m=3/6
m=1/2
Substitute the values as;
[tex]\rm y = \frac{1}{2}x+c[/tex]
For the point x = 0 and y = -3
[tex]\rm y = \frac{1}{2}x-3[/tex]
The equation can be written as;
x - 2y = 6
The system of equations that is represented in the graph is:,y = -2.x-2y =6..
Hence, option B is correct.
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A college's football team will play 16 games next fall. Each game can result in one of 2 outcomes: a win or a loss. Find the total possible number of
outcomes for the season record.
Answers
Using the Fundamental Counting Theorem, there are 65,536 outcomes possible for the season record.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For this problem, the parameters are given as follows:
[tex]n_1 = n_2 = \cdots = n_{16} = 2[/tex]
Then the number of ways is:
[tex]N = 2^{16} = 65,536[/tex].
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Please help me!
For a certain company, the cost for producing x items is 50x + 300 and the revenue for selling x items is 90x - 0.5x^2.
The profit that the company makes is how much it takes in (revenue) minus how much it spend (cost). In economic models, one typically assumes that a company wants to maximize its profit or at least wants to make a profit:
Set up an expression for the profit from producing and selling x items
Find two values of x that will create a profit of $300
Answers
Using the profit concept, we have that:
The expression is: P(x) = -0.5x² + 40x - 300.A profit of $300 is found with x = 20 and x = 60.What is the profit concept?Profit is given by revenue subtracted by costs.
In this problem, we have that:
The revenue is: R(x) = 90x - 0.5x².The costs are: C(x) = 50x + 300.Hence the expression for the profit is given as follows:
P(x) = R(x) - C(x)
P(x) = 90x - 0.5x² - 50x - 300
P(x) = -0.5x² + 40x - 300.
A profit of $300 is found when P(x) = 300, hence:
300 = -0.5x² + 40x - 300
0.5x² - 40x + 600 = 0.
x² - 80x + 1200 = 0.
(x - 60)(x - 20) = 0.
Hence the values are:
x - 60 = 0 -> x = 60.x - 20 = 0 -> x = 20.More can be learned about the profit concept at https://brainly.com/question/4001746
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Which expression is equivalent to-2x+5?
Answers
The equivalent expression of -2x + 5 is 5 - 2x
How to determine the equivalent equation?The expression is given as:
-2x + 5
The symmetry rule of expression states that:
a + b = b + 1
So, we have:
-2x + 5 = 5 - 2x
Hence, the equivalent expression of -2x + 5 is 5 - 2x
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Pls help! Geometry
A)what is the area of square?
B)area of the circle?
C)area of shaded?
Answers
(a) The side length of the square is 8 m, so its area is 64 square m.
(b) The radius of the circle is 4 m, so its area is [tex](\pi)(4^{2})=16\pi[/tex] square m.
(c) Subtracting areas, we get the area of the shaded region is [tex]64-16\pi[/tex] square m.
Margo borrows $1900, agreeing to pay it back with 3% annual interest after 13 months. How much interest will she pay?
Answers
Answer:
61.75
Step-by-step explanation:
1900x0.03x1.08333333=61.75
Question 11 (5 points)
Select the expression that is equivalent to x+x+yxyxy.
O 2x+y³
Ox² + y²
O² + 3y
2x+3y
Answers
Answer:
I don't know if you have any questions or need any further information please contact me your Telugu movie review poster
Suppose U = The set of one digit numbers and A = {x: x is an even natural number less than or equal to 9} Describe each of the sets by complete listing method: A'
Answers
The sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}
How to list the set elements?The sets are given as:
U = The set of one-digit numbers
A = {x: x is an even natural number less than or equal to 9}
One-digit numbers are numbers 0 - 9.
So, we have
U = {0, 1, 2, 3.....,9}
Natural numbers are numbers from 1.
Even natural numbers can be divided by 2 without remainder'
So, we have
A = {2, 4, 6, 8}
Hence, the sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}
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Answer:
Step-by-step explanation:
Solve for x: -5(-3x+1)=-45
Answers
Answer:
x = -8/3
Step-by-step explanation:
-5(-3x+1)=-45
⇔ 15x - 5 = -45 (left side of the equation expanded)
⇔ 15x = -45 + 5 (add 5 to both sides)
⇔ 15x = -40
⇔ x = -40/15 (Divide both sides by 15)
⇔ x = -8/3 (simplify)