Answer:
y = x² - 9x + 14
Step-by-step explanation:
Given the zeros x = 7 and x = 2, then the corresponding factors are
(x - 7) and (x - 2)
The function is then the product of its factors, that is
y = (x - 7)(x - 2) ← expand using FOIL
= x² - 9x + 14
The quadratic function with zeros 7 and 2 in standard form is
f(x) = x² - 9x + 14
If a quadratic function has zeros of a and b, then the quadratic function can be formed as:
f(x) = (x - a)(x - b)
For a function with zeros 7 and 2:
a = 7, b = 2
Substitute a = 7 and b = 2 into the quadratic function f(x) = (x - a)(x - b)
f(x) = (x - 7)(x - 2)
Expand the expression
f(x) = x² - 2x - 7x + 14
f(x) = x² - 9x + 14
The quadratic function with zeros 7 and 2 in standard form is f(x) = x² - 9x + 14
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If josiah skateboards from his house to school 4 miles away. It takes him 20 minutes.
If josiahs speed, in miles per minute, is constant, what is the constant of proportionality?
The constant of proportionality is 0.2
The constant of proportionality for Josiah's speed is 0.2 miles per minute.
To find the constant of proportionality, we can use the formula:
constant of proportionality = distance / time
In this case, we have the distance Josiah skateboards from his house to school is 4 miles, and it takes him 20 minutes.
So, the constant of proportionality is:
4 miles / 20 minutes = 0.2 miles/minute
Therefore, the constant of proportionality for Josiah's speed is 0.2 miles per minute. This means that he skateboards at a constant rate of 0.2 miles per minute from his house to school.
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5 irrational number
Answer: 5 is rational because it can be a fraction or ratio.
Answer:
√5 Unlike √9, you cannot simplify √5 .
Step-by-step explanation:
Write 4.5 as a mixed number and an improper fraction
Write your answer in simplest form
Answer:
9/2 and mixed number: 4 1/2
Step-by-step explanation:
Answer:
Mixed number: [tex]4\frac{1}{2}[/tex]Improper fraction: [tex]\frac{9}{2}[/tex]I hope this helps!
Which graph represents a linear function?
On a coordinate plane, a parabola opens down.
On a coordinate plane, a line has a negative slope.
On a coordinate plane, a line curves up.
On a coordinate plane, a line curves down, levels off, and then curves down.
Answer:
A,D
Step-by-step explanation:
just did it on edge2020
The linear function is
On a coordinate plane, a parabola opens down.On a coordinate plane, a line curves down, levels off, and then curves down.What is linear function?A linear function is a function that represents a straight line on the coordinate plane.
As, linear function is a function whose graph is a straight line. Therefore, a nonlinear function has a graph which is not a straight line.
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Mark is working with the quadratic function y= x2 - 10x + 7. Determine the number and type of roots for the equation using the discriminant.
1) Solve the equation 6= 1/4z -1 z=
Answer:
z=28
Step-by-step explanation:
first, add one to each side to eliminate the negative one. you'll get:
7= [tex]\frac{1}{4}[/tex]z
now, to get rid of the 1/4, multiply both sides by 4.
(7x4)=(1/4z)4
simplify to get 28=z.
hope this helps!
the correct answer is z=28
find the slope of the line through each pair of points for questions 21 to 39
Answer:
23,24,26,27 sorry if you get it wrong
Draw a figure in which ∠1 and ∠2 are acute vertical angles, ∠3 is a right angle adjacent to ∠2, and the sum of the measure of ∠1 and the measure of ∠4 is 180°.
Answer:
654321
Step-by-step explanation:
Factor by grouping
3x^2-11x+10
Answer: (x - 2)(3x - 5)
Step-by-step explanation:
I'm using the berry method to factor, so first, I multiply 3 times 10 to get 30. Now I have to figure out what two numbers, when multiplied together, yield 30 and when are added together, give me -11. Those two numbers are -6 and -5. The equation now becomes (3x -6)(3x -5). Reducing the first binomial: (3x - 6)/3 = (x - 2)
the solution is (x - 2)(3x - 5), and we can check this by multiplying it out, which gives us our starting number, meaning it's correct.
I need help with number 4 plz answer it
Claire bought five toy boxes. Each toy box is in the shape of a cube. The total volume of the five toy boxes when placed in a row is 2,600 cubic inches. Claire thinks she will need about 40 inches of floor length for the toy boxes and Lucy thinks she will need about 45 inches of floor length for the toy boxes.
Answer:
Please find the answer in the explanation.
Step-by-step explanation:
Given that Each toy box is in the shape of a cube. The total volume of the five toy boxes when placed in a row is 2,600 cubic inches.
If Claire thinks she will need about 40 inches of floor length for the toy boxes and Lucy thinks she will need about 45 inches of floor length for the toy boxes, one of them must be right.
Since Volume = L × B × h
Substitute the volume value and the length into the formula to know the area of the box. This must be in whole number and not in decimal number.
Area = 2600 / 40
Area = 65 square inches. For Claire.
Then for Lucy, we get:
Area = 2600 / 45
Area = 57.7778 square inches
We can therefore conclude that Claire is correct.
Can someone explain to me how to do this I don’t know how to do it
Answer:
graph the function and for the points, look at the x values and then you'll find their y values in the function u graphed.
Step-by-step explanation:
Or plug in the values for x. (ONE AT A TIME!) and solve it that way.
Hope this helps.
Absolute value of -23/7
what is 2000 times 2
Answer:
The answer is 4,000
Jell was playing among us for 3 hours straight,the next day she played for 1 hour,in total she played for 4 hours,and each time she was impostor for 19 games so how long is each game for her to win each time
hint:19*4
Answer:76
Step-by-step explanation:
Given ∠A and ∠B are vertical angles with m∠A=10x+5 and m∠B=15x−10 .
What is x?
Enter your answer in the box.
The measure of x is 1.
What are vertical angles?Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.
given:
m∠A=10x+5 and m∠B=15x−10 .
As, ∠A and ∠B are vertical angles
so,
m∠A= m∠B
10x +5 = 15x -10
10x - 15x = -10 +5
-5x = -5
x= 1
Hence, the value of x is 1.
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the jones family road trip covers 3640 miles and they visit 9 states. what is the average mileage per state?
Answer:
About 404.4444444445
Step-by-step explanation:
Answer:
404 miles per state
Step-by-step explanation:
First, let's write an equation.
For every 9 states, they covered 3640 miles. So our equation would look like this:
9s=3640 (s= number of states)
Second, let's get s by itself. To do this, divide 9 on both sides/
s=404.44444....
PLZZZZZZZZ AWNSER!! I"LLL BY YOU CHOCOLATEEE!!!
8×7+7×2^2 +3
Answer:
87
Step-by-step explanation:
Where's my chocolate...
Gina is hiking from the top of a mountain. In 24 minutes, she walks down the mountainside to a location 1,524 feet from the top of the mountain. If she walks at about the same pace, express ginas average Change in alititude per minute?
Answer: 63.5 alt/min
Step-by-step explanation: 1,524/24.
The change in altitude per minute is 63.5 alt/ min
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
In 24 minutes = 1524 feet
So, the average Change in altitude per minute
=1524/24
= 63.5 alt/ min
hence, change in altitude per minute is 63.5 alt/ min.
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what is an irrational number that is between 9.5 and 9.7 and why
Answer:
9.6666...
Step-by-step explanation:
9.6666... is an irrational number because it repeats itself and does not end.
Which compound inequality can be represented by the graph below?
A. x 9
D. 5 < x ≤ 9
Answer:
[tex]5 > x \leq 9[/tex]
Step-by-step explanation:
It would be [tex]5 > x \leq 9[/tex]. The reason why, is because according to graph, there is a open circle (open circle signifies as [tex]<[/tex] or [tex]>[/tex], depending on what sign) on [tex]5[/tex], pointing to the right side of the number line and there is a closed circle (closed circle signifies as [tex]\leq[/tex] or [tex]\geq[/tex], depending on what sign) on [tex]9[/tex] pointing to the left side of the number line.
A store has 2 packs of paper for $3.52. How much would it cost if you were to buy 4 packs of paper
Answer:
7.04?
Just multiply 3.52 by two...
Simplify this please. Will give brainliest for the correct answer. Please explain too.
5(x+3)−5x
Thanks
Answer:
15
Step-by-step explanation:
First, you must distribute 5 to (x + 3)
5(x + 3) - 5x
5x + 15 - 5x
5x - 5x +15
(You can typically say 0x + 15, as a representation to show there are no more x values, but it is bet not to show any if there are none left)
(5x - 5x will cancel out, leaving only 15)
= 15
a professional organizer charged a $45 consultation fee, plus $20 per hour. write an equation to represent the total cost for hiring the organizer. define your variables.
Answer: y=20x+45
Step-by-step explanation:
y=total cost to hire the organizer
x=number of hours you are hiring the organizer
write 0.49 as a fraction
Answer:
49/100
Step-by-step explanation:
Answer:
49/100
Step-by-step explanation: .49 you imagine that the decimal is a 1 and the numbers after it are 0's so there are 2 digits so 100
can you help me solve this (x+5)(x+3)=0
Answer:
x= -3, x=-5
Step-by-step explanation:
Answer:
x = -3 or -5
Step-by-step explanation:
This is a quadratic equation, meaning that the solutions (x-values) will occur when the parabola intersects the x-axis
For now, all you have to do is isolate each mini expression, because you can divide each side by either parenthesis (since it's multiplication)
(x+5)(x+3) = 0 (x+5)(x+3) = 0
divide by (x+5) divide by (x+3)
x+3 = 0 x+5 = 0
subtract 3 subtract 5
x = -3 x = -5
Keep in mind that the parabola intersects the axis at BOTH (-3, 0) and (-5, 0)
Therefore, both answers (must be together unless question says otherwise) can be the value of x
x = -3 OR -5
I need help on this question
Answer:
1.0 x [tex]10^{6}[/tex]
Step-by-step explanation:
Answer:
1.0*10^-6!!!
Step-by-step explanation:
Find a point-slope form for the line with slope 5 and passing through the point (-6,- 4).
Answer y+4=1/5(x+6)
Answer: 2x+y=20 (A)
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert £13.50 to euros
Evaluate 7 + q if q = -2
Answer:
5
Step-by-step explanation:
7-2=5
Answer:
5
Step-by-step explanation:
7 + q if q = -2
7 + (-2)
7 - 2
5