Answer:
[tex]\Large \boxed{\sf \bf 2x^2-12x+10}[/tex]
Step-by-step explanation:
Hello,
As 1 and 5 are roots we can write, with a real number, the quadratic equation as
a(x-1)(x-5)
and as the leading coefficient is 2 then a = 2
It comes
[tex]2(x-1)(x-5)=2(x^2-6x+5)=2x^2-12x+10[/tex]
Thanks
The quadratic equation will be 2x²-12x+1=0.
What is a quadratic equation?Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the roots of the quadratic equation are 1 and 5 and the leading coefficient is 2.
The equation will be written as,
Quadratic equation = 2( x - 1 ) ( x - 1 )
Quadratic equation = 2 ( x² + 4x - 5)
Quadratic equation = 2x² + 8x - 10
Therefore, the quadratic equation will be 2x²-12x+1=0.
To know more about quadratic equations follow
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Sarah buys a shirt on sale at
Jersey's. The original price was
$28, but the shirt is on sale for 30%
off.
If there is a 5% sales tax, how
much did Sarah pay for the shirt?
(Write the answer as a decimal to 2
places.)
Answer:
$20.58
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
divide 28 from 30. 2 can go into 3 ones its 2 so subtract its one bring down 8 then the answer is 2020
28 _______
30
- 2
____
10
Oct 09, 11:40:51 AM
Solve the following inequality for f. Write your answer in simplest form.
9f + 5(-8f +1) < 3f +7 – 10
fi
Submit Answer
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attempt out of 2
Copyright 2020
DIL
needing help from someone who can combine like terms!!
Answer:
8x-4
Step-by-step explanation:
combine the 3x with the 5x and get 8x.
after u do that add -10 to positive six and thats -4.
so your answer is 8x-4
Mark simplified 3/5 divided by 5/8; his work is shown below. Identist where he made his error.
Answer:
Mark forgot to multiply 5 · 5, so he ended up with 5 in the denominator instead of 5 · 5 = 25
Step-by-step explanation:
·A nutritionist recommends that an adult male consume 55 grams of per day. It is acceptable for the fat intake to differ from this amount by at most 25 grams. Write and solve an absolute-value inequality to find the range of fat intake that is acceptable. Graph the solutions.
Which of the following is the same as 2,088 feet per minute
Answer: 0.3954 Miles per minute
Step-by-step explanation:
Answer:
Step-by-step explanation:
2088/69=34.8
What is the slope given of the line? Please hurryyyy
Answer:
slope is 3/2
extra info:
y-interccept is -3
equation of the line is y= 3/2x - 3
What is the exponential form of the expanded form below? 10-10-10-10.10 O5-10 O5 O10 O10
Answer:
10101010.10051050010010
Step-by-step explanation:
Clayton Kershaw, a baseball player for the Los Angeles Dodgers, makes $30.15 million per year. There are 162 games in a major league baseball season. Carmello Anthony, a basketball player for the Knicks, makes $24.81 million per year. There are 82 games in a NBA season. Which player is making more money per game played? Round any answers to the hundredths place.
Answer:
Carmello Anthony make more money per gameStep-by-step explanation:
we are expected to calculate how much each player is making per game, compare the values and tell who makes more money per game
Clayton Kershaw
given data
$30.15 million per year
There are 162 games in a major league baseball season.
therefore a game will be worth
=30,150,000/162
=$186,111
Carmello Anthony
given data
$24.81 million per year
There are 82 games in a NBA season.
therefore a game will be worth
=24,810,000/82
=$302,561
from the analysis, Carmello Anthony make more money per game
22000 in standard form
Answer : [tex]22.000[/tex] x [tex]10x^{3}[/tex]
Step-by-step explanation:
Answer:22 x 10^3
Step-by-step explanation:
I got 2.14 GPA but just want my answer checked? It sounds dumb but this this grade would mean a lot to me. Instructions are on there
What is the answer to F(x)=-5x+7 if f(2)
Answer:
F(x)= -3
Step-by-step explanation:
Plug the 2 into your X variable
-5 (2) + 7
PEMDAS to solve
Multiply
-5 * 2 = -10
Add
-10 +7 = -3
Step-by-step explanation:
f(x)= -5x+7
f(2)= -5(2)+7
f(2)= -10+7
f(2)= -3
A company sells three types of gift bags, which include movie passes,x, microwave popcorn,y, and DVD,z, the basic basket has two movie passes and one pacage of microwave popcorn, and cost $15.50. The medium basket has 2 movie passes, 2 microwave popcorn and one DVD and costs 37.00 the super basket has four movie passes, three microwave popcorn, and two DVD and costs 72.50
Answer:
true
Step-by-step explanation:
is it true or false
You had $21 to spend on three pens .After buying them you had $12 how much did each pen cost
Jeremy has $30. He pays $8 to wash his car. His friend pays back $16 that Jeremy had loaned to him. How much money does Jeremy have now?
Answer: $38 because 30-8= 22, 22+16=38
Answer:
38 dollars
Step-by-step explanation:
He starts with 30, loses 8 so 30-8 is 22 and he gets 16 so 22+16 is 36
Please solve this question.
Answer: 2
Step-by-step explanation:
Current Age Age in future (x years)
Brother 1: 15 x + 15
Brother 2: 22 x + 22
The product of their ages in the future is 408:
(x + 15)(x + 22) = 408
x² + 37x + 330 = 408 Expanded
x² + 37x - 78 = 0 Subtracted 408 from both sides
(x + 39)(x - 2) = 0 Factored
x + 39 = 0 x - 2 = 0 Applied Zero Product Property
x = -39 x = 2 Solved for x
↓
Disregard since "future" years cannot be negative
Graph XY with endpoints X(−3, 1) and Y(4,−5) after the composition. Translation: (x, y)→(x, y+2) Rotation: 90° about the origin
Answer:
X’ is (3,3) and Y’ is (-3,-4)
Step-by-step explanation:
Here, we want to get the coordinates of the point XY after translation and rotation about the origin at 90 degrees
X (-3, 1 ) and Y (4,-5)
Using the translation we have
(-3, 1 + 2) and (4, -5 + 2)
= (-3,3) and (4 , -3)
Rotation about the origin, we have
(x , y) = (y , -x)
So the new set of points will be:
(3,3) and (-3, -4)
Transformation involves changing the position of a point or line or shape.
See attachment for the graph of X"Y"
The endpoints are given as:
[tex]\mathbf{X = (-3,1)}[/tex]
[tex]\mathbf{Y = (4,-5)}[/tex]
A translation of [tex]\mathbf{(x,y) \to (x,y+2)}[/tex] means that:
[tex]\mathbf{X' = (-3,1+2)}[/tex]
[tex]\mathbf{X' = (-3,3)}[/tex]
[tex]\mathbf{Y' = (4,-5 + 2)}[/tex]
[tex]\mathbf{Y' = (4,-3)}[/tex]
A 90 degrees rotation about the origin is:
[tex]\mathbf{(x,y) \to (y, -x)}[/tex]
So, we have:
[tex]\mathbf{X" = (3, 3)}[/tex]
[tex]\mathbf{Y" = (-3, 4)}[/tex]
See attachment for the graph of X"Y"
Read more about transformation at:
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Jeremy combines 7.28 liters of red paint with 8.06 liters of blue paint to make purple paint. He pours the paint equally into 4 containers, and has 1.58 liters of paint left over. How many liters of paint are in each container?
(use tape diagram to solve)
Answer:
7.67 liters
Step-by-step explanation:
ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...
24.) What is the equation in slope-intercept form of the line that passes through the point (2, -2) and is perpendicular to the line represented by y= 2/5x + 2 ?
A) y= 5/2x - 7
B) y= 5/2x + 7
C) y= -5/2x - 3
D) y= -5/2x + 3
25.) Suppose the linear cost function C(x) = 6x gives the cost for buying x items. If the items are sold in packages of 10, and no one can buy more than 5 packages, then the RANGE of the function C is
A) [0, 50]
B) [5, 10]
C) {0, 6, 12, 18, 24, 30}
D) {0, 60, 120, 180, 240, 300}
Answer:
24) D
25) D
Step-by-step explanation:
24) D
We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to [tex]y=\frac{2}{5}x+2[/tex].
First, let's find the slope of our new line.
Remember that perpendicular slopes are negative reciprocals of each other.
Therefore, to find the slope of our new line, we will flip our old slope and add a negative.
Therefore, the slope of our new line is -5/2.
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:
[tex]y-(-2)=-\frac{5}{2}(x-2)[/tex]
Simplify:
[tex]y+2=-\frac{5}{2}(x-2)[/tex]
Let's convert this to slope-intercept form. Distribute the right:
[tex]y+2=-\frac{5}{2}x+5[/tex]
Subtract 2 from both sides. So, our equation is:
[tex]y=-\frac{5}{2}x+3[/tex]
Our answer is D.
25)
We know that the cost for buying x items is given by the function:
[tex]C(x)=6x[/tex]
We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.
So, let's see how much it will be if we buy 0 packages. This will just be:
[tex]C(0)=6(0)=\$0[/tex]
If we buy 1 package, there will be 10 items in them. So:
[tex]C(10)=6(10)=\$60[/tex]
If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:
[tex]C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300[/tex]
So, our range is:
[tex]\{0, 60, 120, 180, 240, 300\}[/tex]
The correct answer is D.
And we're done!
Describe the effect of the transformation to the graph y = f(x) if it is transformed to y = 7f(x−8)
The transformation y = 7f(x - 8) has two effects on the graph of the original function y = f(x): a horizontal shift to the right by 8 units and a vertical stretching by a factor of 7.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The transformation to the graph y = f(x) if it is transformed to y = 7f(x−8)
The horizontal shift to the right by 8 units means that each x-value in the original function is decreased by 8. This has the effect of shifting the entire graph of the function 8 units to the right along the x-axis.
The vertical stretching by a factor of 7 means that each y-value in the original function is multiplied by 7. This has the effect of stretching the entire graph of the function vertically by a factor of 7.
Together, these two effects cause the graph of the transformed function y = 7f(x - 8) to be a vertically stretched version of the original graph, shifted 8 units to the right along the x-axis.
The shape of the graph will remain the same, but it will be taller and shifted to the right compared to the original graph.
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Given the functions f(x) = 4x2 - 1, g(x) = x2 - 8x + 5, and h(x) = -3x2 - 12x + 1, rank them from least to greatest based on their axis of symmetry.
Answer:
h(x), f(x), g(x)Step-by-step explanation:
GivenThe functions
f(x) = 4x² - 1g(x) = x² - 8x + 5h(x) = -3x² - 12x + 1To findRank by value of axis of symmetry in ascending orderSolutionAxis of symmetry is defined by x- value of the vertex which is calculated by a formula -b/2a
f(x) → 0/2*4= 0g(x) → - (-8)/2 = 4h(x) → -(-12)/2(-3) = -2Ranking in ascending order is
h(x), f(x), g(x)You want to make bouquets of balloons. You choose 6 and 50 balloons. Every bouquet will have the same number of each color. What is the greatest possible number of bouquets you can make using all the balloons? Estimate how much you will earn if you sell each bouquet for $4.97.
Answer:
2 ; $9.94
Step-by-step explanation:
Given that:
Balloons chosen : 6 and 50
Greatest possible number of bouquet that can be made using all balloons
To find this ; obtain the greatest common factor of 6 and 50
Factors of 6 : 1, 2, 3, 6
Factors of 50 : 1, 2, 5, 10, 25, 50
.the greatest factor common in both is 2.
Greatest possible number of bouquet using all balloons = 2
If each bouquet sells for $4.97
Earning = 2 * $4.97
Earning = $9.94
Simplify . Explain your steps.
Answer:
x^2
Step-by-step explanation:
=(x^3/x^2)^2
=(x^3/x^2)*(x^3/x^2)
=x^3*x^3/x^2*x^2
What is the simplified form of VT VVV ?
Answer:no
Step-by-step explanation:
Answer:
what that dude said
Step-by-step explanation:
What is the answer for this question? 6x^2 - 35x + 49 ( factorising quadratics btw)
Answer:
x=7/2 x=7/3
Step-by-step explanation:
Rewrite x/-4 ≥ -1 so the negative sign in the fraction is with x. Then multiply each side by 4. What inequality do you get?
Answer:
hii
Step-by-step explanation:
I need help ASAP!!! The entire question is right here.
Answer:
R1. Given
R2. Subtraction Property of Equality
R3. Distributive Property
S4. 9x = 61
R5. Division Property of Equality
(2p - 3r)^2=
Will mark as brainliest
Solve with working
P=6
R=2
Answer:
36
Step-by-step explanation:
(2p-3r)^2
(2•6-3•2)^2
(12-6)^2
(6)^2
36
Adiosss
There are
50 apples in box. Ten are
green and the remainder are red. Express
as a ratio
the following
Answer:
10:40
Step-by-step explanation:
Help please
Find the scale factor & find the unknown lengths
e to f is 10 d to f 10 GED and eukaryotic disease and
