Step-by-step explanation:
An x-intercept of a function occurs when f(x) = 0.
In f(x) = (x-8)(x+9), f(x) will be 0 if either (x-8) is 0 or (x+9) is 0.
Hence, f(x) = 0 when x = 8 or x = -9.
Answer:
The answer is D. (-9,0) on edge
Step-by-step explanation:
The formula A = 1/2 S^2 expresses the area of an isosceles right
triangle in terms of the length, s, of a leg of the triangle.
Which equation expresses the length of a leg of an isosceles right
triangle in terms of the area?
Answer:
[tex]s = \sqrt{2a} [/tex]
Step-by-step explanation:
A = 0.5S^2
2A = S^2
Therefore,
[tex]s = \sqrt{2a} [/tex]
To express the length in terms of the area, is an illustration of change of subject of formula.
The equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]
Given that:
[tex]A = \frac 12S^2[/tex]
First, multiply both sides by 2
[tex]2 \times A = \frac 12S^2 \times 2[/tex]
[tex]2 \times A = S^2[/tex]
[tex]2A = S^2[/tex]
Take positive square roots of both sides
[tex]\sqrt{2A} = \sqrt{S^2[/tex]
[tex]\sqrt{2A} = S[/tex]
Rewrite the equation as:
[tex]S =\sqrt{2A}[/tex]
Hence, the equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]
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find the roots of the quadratic equation using factoring. 6m^2 - 23M + 10 = 0
m₁ = 10/3
m₂ = 1/2
Step-by-step explanation:6m² - 23m + 10 = 0
6m² - 2m - 20m + 10 = 0
3m(2m - 1) - 10(2m - 1) = 0
(3m - 10)(2m - 1) = 0
3m - 10 = 0 =>3m = 10 => m₁ = 10/3
2m - 1 = 0 => 2m = 1 => m₂ = 1/2
(-2, 8) (9, 10) (1,7) (3, 9) (10, 12)
Function
Not a Function
Answer: function
Step-by-step explanation: To determine whether the relation shown here
is a function, remember that a relation is a function if each x term
corresponds to exactly one y term.
In the data set show, each x term, -2, 9, 1, 3, and 10 appears only once.
This means that each x term corresponds to exactly one y term.
So yes, the relation is a function.
I need help asap please! <3
A triangle has side lengths of (5.3p+ 7.6) centimeters, (3.8p – 4.3) centimeters,
and (2.4q - 7.4) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?
Answer:
The perimeter of the triangle in centimetres is (9.1p + 2.4q - 4.1) centimetres
Step-by-step explanation:
Let a, b and c be the sides off a triangle. Its perimeter P = a + b + c.
Now, the triangle has side lengths (5.3p+ 7.6) centimetres, (3.8p – 4.3) centimetres, and (2.4q - 7.4) centimetres.
Let a = (5.3p+ 7.6) cm , b = (3.8p – 4.3) cm and c = (2.4q - 7.4) cm
So the perimeter of the triangle is P = a + b + c
substituting the values of a, b and c, we have
P = (5.3p + 7.6) cm + (3.8p – 4.3) cm + (2.4q - 7.4) cm
opening the brackets and collecting like terms, we have
P = (5.3p + 3.8p + 2.4q + 7.6 - 4.3 - 7.4) cm
P = (9.1p + 2.4q - 4.1) centimetres
So the perimeter of the triangle in centimetres is (9.1p + 2.4q - 4.1) centimetres
What is the relationship between the 8’s in 8,809
Answer:
Their place values
Step-by-step explanation:
On eight is in thousands while the other is in hundreds
Answer:
"8" on the left is ten times the value of the "8" on the right
Step-by-step explanation:
I am going to assume that the comma " , " denotes divisions of "thousands" and not the European system where the comma represents a decimal point.
(refer to attached for definitions of place values)
we can see that for the number 8,809 :
1) the 8 on the left is in the thousands place and hence represents 8000.
2) the 8 on the right is in the hundreds place and hence represents 800.
in order to find the relative order of difference between the two digits, we simply we divide the value of the two digits:
8000 ÷ 800 = 10
Hence the "8" on the left is ten times the value of the "8" on the right
20=v−7 what does v equal?
Answer:
27
Step-by-step explanation:
20=v-7
v=20+7
v=27
Hence, v equals to 27
[tex]\huge\mathbb\purple{EXPLAIN}[/tex]
[tex]20 = v - 7[/tex]
[tex]v = 20 + 7 = 27[/tex]
find the arrival time if the plane took off at 8:35am and flew for 2 hr. 55 min. include am or pm in your answer
What is 13.7 billion years in scientific notation
Answer:
1.37 * 10^10 years.
Step-by-step explanation:
Billion = 9 zeroes
13.7 billion = 13.7 * 10^9 = 1.37 * 10^10.
PLZ HELP 235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?
Answer:
number of girls = 90
Number of boys = 125
Number of adults = 20
Step-by-step explanation:
Total people at the summer camp= 235
Let
number of girls=x
Number of boys = x + 35
Number of adults = x - 70
Total people at the summer camp= number of girls + Number of boys + Number of adults
235 = x + (x+35) + (x - 70)
235 = x + x + 35 + x - 70
235 = 3x - 35
Add 35 to both sides
235 + 35 = 3x
270 = 3x
Divide both sides by 3
x= 270/3
= 90
x = 90
number of girls= x = 90
Number of boys = x + 35
= 90 + 35
= 125
Number of adults = x - 70
= 90 - 70
= 20
Total = 90 + 125 + 20
= 235
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
A number decreased by twelve is twice the opposite of ten. Find the number.
Answer:
-8
Step-by-step explanation:
Let n = the number.
A number decreased by twelve is twice the opposite of ten.
n - 12 = 2 * (-10)
n - 12 = -20
n = -8
Triangle ABC has vertices A(4,8) B(-3,2) and C(-1,6). Triangle ABC is dilated so that the new vertices are A'(12,24) B'(-9,6) and C'(-3,18). What is the scale factor?
what is the decimal that is greater than 3/10 and less than 2/5
Answer:
0.31 - 0.39
Step-by-step explanation:
3/10 = 0.3
2/5 = 0.4
All the values between 0.3 and 0.4 excluding 0.3 and 0.4 (can't be 0.3 or 0.4)
The decimal number that is greater than 3/10 and less than 2/5 will be;
⇒ 0.35
What is Decimal number?A decimal number is a number that consists of a whole and a fractional part.
Given that;
A decimal number is greater than 3/10 and less than 2/5.
Now,
Let a decimal number = x
So, We get;
⇒ 3/10 < x < 2/5
Since, We have;
⇒ 3/10 = 0.3
⇒ 2/5 = 0.4
Thus, The decimal number that is greater than 3/10 and less than 2/5 is 0.35.
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whats the answer 5(x-y+2)
whats the answer 5(x-y+2)
Answer :
5x - 5y + 10
Step-by-step explanation:
5(x - y + 2)
5(x) + 5( - y) + 5(2)
5x - 5y + 10
[tex]\boxed{\boxed{\bold{THANKS}}} [/tex]
suppose the equation for line A is given by 2x-5y=15, if line A and B are parallel and the point (-10,3) lies on line B, then write the equation in slope intercept for line b.
Answer:
y=2/5x + 7
Step-by-step explanation:
First, you have to rewrite 2x-5y=15 to slop intercept form.
To do that you have to first subtract 2x from both side to cancel it out.
2x- 2x-5y= 15 -2x.
-5y= -2x+15
Next, you divide 5 on both side to leave the y by itself.
y= -2x/-5 + 15/-5
Simplify
y= 2/5x + (-3) 2/5 is our slope
Now that we found the slope, we need to the y-intercept of line b
y=2/5x + b
To find the y-intercept, we substitue x and y with the coordinates (-10,3)
3= 2/5(-10) +b
Now we just solve for b
3= -4 +b
3-(-4) = b
7=b
Now we have identified that 7 is the y intercept
The full equation is y= 2/5x +7
I hope this helped :)
Carla needs to rent storage space for some of her belongings. She paid a one-time original storage fee of $25.00, and now pays $36.00 each month (m). Which answer choice shows an expression that represents the total amount Carla has paid after a certain number of months (m)?
Answer:
TC = 36t + 25
Step-by-step explanation:
The amount paid by Carla as a storage fee or fixed cost = $25
Monthly rent or variable cost = $36
Let the number of months = t
Now we have to find the expression that represents the total cost. Below is the formula to find the expression.
Total cost = Variable cost + Fixed cost
Total cost = 36t + 25
TC = 36t + 25
Find the value of 2x+y when x=4 and y=3
Find the value of a^2 + b when a= -2 and b=5
Answer:
2x + y = 11
a² + b = 9
Step-by-step explanation:
I solved these by using order of operations and subsitution.
Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
Manny rode his bike for 3 hours. How far did he travel?
Manny rode his bike for 1.5 hours. How far did he travel?
I will give 20 extra points for you <3
Answer:
1. 54
2.?
Step-by-step explanation:
:) Have a nice day
write a polynomial of least degree with roots 6 and. -8
Answer:
y = x² + 2x - 48
Step-by-step explanation:
Given the roots of the polynomial are x = 6 and x = - 8 , then the corresponding factors are
(x - 6) and (x + 8) and the polynomial is the product of the factors, that is
y = (x - 6)(x + 8) ← expand using FOIL
y = x² + 2x - 48
Please help it’s due in 19 min
Answer:
yellow
Step-by-step explanation:
ITS YELLOW IM GOOD AT THIS TRUST ITS YELLOW
In a bakery that sells cookies there are 4 oatmeal cookies for every 11 chocolate cookies.If there are 285 cookies altogether how many oatmeal cookies are there?
Answer:
There are 76 oatmeal raisen cookies altogether.
Step-by-step explanation:
4 + 11 = 15
285/15 = 19
19 * 4 = 76
A rectangle has a length represented by the function )
and a width represented by g )
Which statement accurately describes the combined
functions, P(x) and A(x)?
Answer: P(x) has a constant rate of change, but A(x) does not
Step-by-step explanation:
Use the segment to complete the statements the value of x is
Answer:
Step-by-step explanation:
5) A tortoise's fastest rate of travel is 225 feet in 15 minutes. Write
this rate as a Unit Rate.
Answer:
900 feet per hour
Step-by-step explanation:
225×4 = 900
15×4=60
the tortoise's rate of speed is 900 feet per hour
hope that helps.
Use the number line below, where RS = 5y +3, ST = 3y + 4, and RT = 10y - 3.
a. What is the value of y?
b. Find RS, ST, and RT.
Answer:
(a). y = 5
(b). RS = 28
ST = 19
RT = 47
Step-by-step explanation:
(a). There are three points R, S and T on a number line.
Therefore, RT = RS + ST -------(1)
Since, RT = 10y - 3
RS = 5y + 3
ST = 3y + 4
By substituting these values in the equation (1)
10y - 3 = (5y + 3) + (3y + 4)
10y - 3 = 8y + 7
10y - 8y = 7 + 3
2y = 10
y = 5
(b). RS = 5y + 3
= 25 + 3
= 28
ST = 3y + 4
= 15 + 4
= 19
RT = 10y - 3
= 50 -3
= 47
Name one pair of rays that are not opposite rays.
Answer:
ED and EC
Step-by-step explanation:
If the two rays which extend in the opposite direction having same endpoint is said to be opposite rays.
From the picture attached,
Rays having same endpoint E but not in the opposite directions are ED and EC.
This pair of rays meet at point E having different directions.
Similarly EA and EB is the other pair of rays having same end point (at E) but not in opposite directions.
Find the domain and range of each relation (use interval notation). Then determine if each relation is one-to-one.
Which of these is a simplified form of the equation 9y + 6 = 9 + 2y + 2y?
Answer:
y=3/5
Step-by-step explanation:
9y+6=9+2y+2y
9y+6=9+4y
9y-4y=9-6
5y=3y=3/5
what is the solution to the inequality 3/2m -4 > 4/5 + 7/10m
Answer:
m > 6
Step-by-step explanation:
[tex]3/2m -4 > 4/5 + 7/10m\\\\\frac{3}{2}m-4>\frac{4}{5}+\frac{7}{10}m\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\\frac{3}{2}m-4+4>\frac{4}{5}+\frac{7}{10}m+4\\\\Simplify\\\\\frac{3}{2}m>\frac{24}{5}+\frac{7}{10}m\\\\\mathrm{Subtract\:}\frac{7}{10}m\mathrm{\:from\:both\:sides}\\\\\frac{3}{2}m-\frac{7}{10}m>\frac{24}{5}+\frac{7}{10}m-\frac{7}{10}m\\\\Simplify\\\\\frac{4}{5}m>\frac{24}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times\frac{4}{5}m>\frac{24\times\:5}{5}\\\\Simplify\\\\4m>24[/tex]
[tex]4m>24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4m}{4}>\frac{24}{4}\\\\Simplify\\\\m> 6[/tex]
7/5 + 2/3 - 1 = ayuda porfa
Answer:
[tex]1\frac{1}{15}[/tex]
Step-by-step explanation:
[tex]\frac{7}{5}+\frac{2}{3}-1\\[/tex]
Convertir elemento a fracción: 1 = 1/1
[tex]=-\frac{1}{1}+\frac{7}{5}+\frac{2}{3}[/tex]
Mínimo común múltiplo de 1,5,3 = 15
Ajustar fracciones según el mcm
[tex]=-\frac{15}{15}+\frac{21}{15}+\frac{10}{15}[/tex]
Dado que los denominadores son iguales, combine las fracciones:
[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\= \frac{-15+21+10}{15}\\\\[/tex]
Sumar Restar los números: -15 + 21 + 10 = 16
[tex]=\frac{16}{15}\\\\16\div 15 = 1 \: remainder 1\\\\=1\frac{1}{15}[/tex]