Answer:
y=-2x+2
Step-by-step explanation:
We use the formula
y=mx+b, where m is the slope, b is the y intercept, and x&y are the coordinates.
We know that one point is (-1, 4)
and the slope is -2.
We are trying to find b.
In order to do that, we plug in what we know:
so,
4=-2(-1)+b
4=2+b
4-2=b
b=2
So now we go back to the original equation and use b as our value'
y=-2x+2
A bank is offering home loans at an interest rate of 52%. Express the percent
as a fraction in simplest form.
Answer: 13/25
Step-by-step explanation:
52/100 divided by 4/4
= 13/25
w(x) = x2 + 2 x divided by X - 1
Answer:
[tex]x+1+\frac{1}{x-1}[/tex]
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 - 2x2 + 2x - 1
Simplify —————————————————
x - 1
Checking for a perfect cube :
2.1 x3 - 2x2 + 2x - 1 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 - 2x2 + 2x - 1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 2x - 1
Group 2: -2x2 + x3
Pull out from each group separately :
Group 1: (2x - 1) • (1)
Group 2: (x - 2) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 - 2x2 + 2x - 1
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -1.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -6.00
1 1 1.00 0.00 x - 1
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 - 2x2 + 2x - 1
can be divided with x - 1
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 - 2x2 + 2x - 1
("Dividend")
By : x - 1 ("Divisor")
dividend x3 - 2x2 + 2x - 1
- divisor * x2 x3 - x2
remainder - x2 + 2x - 1
- divisor * -x1 - x2 + x
remainder x - 1
- divisor * x0 x - 1
remainder 0
Quotient : x2-x+1 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x+1
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 1 • 1 = 1
Step-2 : Find two factors of 1 whose sum equals the coefficient of the middle term, which is -1 .
-1 + -1 = -2
1 + 1 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x-1) which appears on both sides of the fraction line.
Final result :
x2 - x + 1
2. Danielle has read 240 pages in her book in 3 hours. Nicole has read 180 pages in 75 minutes.
Who reads faster in pages per minute
Answer:
Nicole
Step-by-step explanation:
Danielle reads four pages per min, Nicole reads 2.7 pages per min.
What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...?
Answer:
common difference is 3 you take each number from left to rifht and subtract so thr answer is 15
Identify the axis of symmetry of the parabola.
A. X=5
B. X=4
C. X=6
D. X=3
9514 1404 393
Answer:
B. x = 4
Step-by-step explanation:
The axis of symmetry is the vertical line through the vertex. This parabola has its vertex at (4, -1), so the axis of symmetry is x = 4.
If f(x) = x - 1, which of the following is the inverse of f(x)?
O A. f-'(x) = x - 1
O B. f-'(x) = 1 - x
O c. f-1(x) = x
O D. f-'(x) = x + 1
Answer:
the inverse function is the option D , x+1
PLS HELP ME UNDERSTAND THIS
Answer:
-1
Step-by-step explanation:
can be soled by substitution remember BEDMAS
can also be written like this
((-2)-2*(-0.5))^3
PLEASE SOME ANSWER QUICKLY!!!!
Answer:
D
Step-by-step explanation:
The range is the y-values of a function. In this case, it would be 2, 4, 9, 16
40 24 56
16 ? 72
8 48 32
Answer:
32
Step-by-step explanation:
8x4=32oooooooooooooooooooooooo
2.93 x 1.5 with work explained
Answer:
4.395
do 293x15 then after you get that answer move the decimal 3 places to the left
Step-by-step explanation:
PLEASE HELP!!!
WILL GIVE BRAINLIEST
Answer: ∠ORP and ∠ORN are a linear pair
Step-by-step explanation:
A linear pair is when two adjacent angles create a straight line, which adds up to 180°. Both ∠ORP and ∠ORN are adjacent and form a straight line, so they would be considered a linear pair.
Find the interest earned on $50,000 deposited for 6 years at 1% % interest,
compounded continuously. Round to the nearest cent.
HELP PLS
here hope this helps and can i get brainliest please
The interest with the given principal, time period and rate of interest is $3076.
Given that, principal=$50,000, time period =6 years and rate of interest =1%.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest is
Amount =Principal(1+r/100)^t
= 50000(1+1/100)^6
= 50000(1.01)^6
= 53076
So, interest =Amount-Principal
= $3076
Therefore, the interest with the given principal, time period and rate of interest is $3076.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
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The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?
1) y = (x + 1)^2
2) y = (x - 1)^2
3) y = x^2 + 1
4) y = x^2 - 1
Answer: 2
Step-by-step explanation:
If the number was OUTSIDE the exponents it represents a movement up or down
If the number is inside the parenthesis and exponent ex: (x-1)^2 then it decides a movement on the left or right
However inside the parenthesis it is reversed, so a - is move to the right and a + is moved to the left, this making your answer (x-1)^2
- Gage Millar, Algebra 2 Tutor
Find the percent decrease. Round to the nearest percent.
From 85°F to 60°F
Answer:
Percent Decrease ≈ 30%
Step-by-step explanation:
Let's first find what part of 85 is 60
60/85 = 12/17
12/17 = 0.70588 ≈ 0.70 = 70%
Now, since 85 is 100%, and 60 is 70% of 85, the percent decrease is :
100% - 70% = 30%
-Chetan K
Please help with question 19, i am not sure.
Answer:
The answer is the first one "put the compass point at A and set the width to be the length of line segment AB."
Step-by-step explanation:
They have to be equal, so you'll put the compass at point A and set it to be the length of AB, then you will put compass at point C, draw an arc that intersects the line, and label the point of intersection as "B"
8252 to base six
i'm struggling so bad
Answer:
6^5
because i used a calculator enjoy
Simplify and express the answer in scientific notation
Answer:
2.19 *10^7
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
2.19 *10^7
pls answer correct pls answer it i neeed the answer
Answer:
27
Step-by-step explanation:
[tex] {3}^{2} \times {3}^{ - 4} \times {3}^{5} [/tex]
[tex] = 9 \times \frac{1}{ {3}^{4} } \times 243[/tex]
[tex] = 27[/tex]
find the measure of the angle indicated, WILL GIVE
BRAINLIEST!!
Answer:
m < S = 40°
Step-by-step explanation:
According to the Triangle Exterior Angle Postulate, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
The exterior angle is m < R = 140°. In reference to the Triangle Exterior Angle Postulate, the sum of the measures of < T and < S must equal 140°.
Given m < T = (8x + 4)°
m < S = (3x + 4)°
We can set up the following equality statement to solve for the value of x:
m < R = m < T + m < S
140° = (8x + 4)° + (3x + 4)°
Combine like terms:
140° = 11x + 8
Subtract 8 from both sides:
140° - 8 = 11x + 8 - 8
132° = 11x
Divide both sides by 11:
132°/11 = 11x/11
12 = x
Substitute the value of x into the equality statement to verify whether it is the correct value:
140° = (8x + 4)° + (3x + 4)°
140° = [8(12) + 4]° + [3(12) + 4]°
140° = (96 + 4)° + (36 + 4)°
140° = 100° + 40°
140° = 140° (True statement. Therefore, the correct value for x = 12).
Therefore, m < S = (3x + 4)° = [3(12) + 4]° = 40°
Please mark my answers as the Brainliest if you find this helpful :)
Does (4, 0) make the equation y = 6x true?
Answer: No
Step-by-step explanation: it would be (0,4)
If measure of angle 9=97 and measure of angle 12=114 find each measure
Select three ratios that are equivalent to 11:1
choose 3 answers
(Choice A)
1:11
(Choice B)
22:2
(Choice C)
55:5
(Choice D)
9:99
(Choice E)
110:10
Answer:
B, C, E
Step-by-step explanation:
22:2 is the same as 11:1
as for the others
2. (Opts) A ladder leans against the wall of a building. The length of the ladder is 9 feet
longer than the distance of the bottom of the ladder from the building. The distance
of the top of the ladder reaches up the side of the building is 7 feet longer than the
distance of the bottom of the ladder from the building. Find the lengths of all three
sides of the triangle formed by the ladder leaning against the building.
thank you far donating ur points...✌
btw
#sry fa the spam
7. Kate bought 4 pounds of apples
for $10.80. How much did it cost for
one pound of apples?
Answer:
Step-by-step explanation:
$10.80 for 4 pounds of apples
How much for 1 pound?
$10.80/4 pounds = cost of 1 pound of apples
answer: $2.70
PLZ HELP
A total of 800 advertisements were sold for a certain magazine. If 80 percent of the first 150 sold in color, 40 percent of the next 400 sold in color, and 80 percent of the next 80 were sold in color, what percent of the 800 magazines were sold in color?
Answer:60 %
Step-by-step explanation:
pls help i need this to pass algebra
what is the LCD of 4/7 1/6
Answer:
The denominators can be made equal by finding the least common denominator (LCD), which is 42 in this case.
Step-by-step explanation:
Hope i helped!
what is the tense of she has no choice? Is it present perfect?
Step-by-step explanation:
present......................
Can you answer this
Answer:
6[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
First, we can start by figuring out how many nails can be produced by 1 machine in 15 minutes. Since 3 machines can produce 16 [tex]\frac{1}{5}[/tex] nails per 15 minutes, we can figure this out by dividing the number of nails produced by 3.
16 [tex]\frac{1}{5}[/tex] divided by 3 equals [tex]\frac{81}{48}[/tex] which can be simplified to 1 [tex]\frac{11}{16}[/tex]. This means that in 15 minutes, one machine can produce 1 [tex]\frac{11}{16}[/tex] nails. Since 15 minutes is 1/4 of an hour, we multiply the nails and minutes by 4, and 1[tex]\frac{11}{16}[/tex] times 4 equals 6[tex]\frac{3}{4}[/tex]. Therefore, 1 machine can produce 6[tex]\frac{3}{4}[/tex] nails in one hour.
Select the correct answer from each drop-down menu,
Brian drew a line through points A(-1,-4) and B12,5). He drew another line through points (3,-7) and D(5,-1).
The slopes of the two lines are
The slope of AB is
Answer:
same and 3
Step-by-step explanation:
I took test
The slopes of the two lines are 3, 3.
The slope of AB is 3.
What is the slope of a line passing through two points?The slope of a line passing through points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given two points are [tex]A(-1, -4)[/tex] and [tex]B(2, 5)[/tex].
Therefore, the slope of a line passing through those two points is
[tex]m_{1} = \frac{5 - (-4)}{2-(-1)}[/tex]
⇒ [tex]m_{1} = \frac{9}{3}[/tex]
⇒ [tex]m_{1} = 3[/tex]
Another two points are [tex]C(3, -7)[/tex] and [tex]D(5, -1)[/tex].
[tex]m_{2} = \frac{-1 - (-7)}{5-3}[/tex]
⇒ [tex]m_{2} = \frac{6}{2}[/tex]
⇒ [tex]m_{2} = 3[/tex]
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