Answer:
D
Step-by-step explanation:
Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the corresponding factors are
(x - 5) , (x - 7)
The equation is then the product of the factors, that is
y = (x - 5)(x - 7) ← expand using FOIL
= x² - 7x - 5x + 35 ← collect like terms
y = x² - 12x + 35 → D
The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
It is Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the other factors are
(x - 5) , (x - 7)
The equation is then the product of the factors,
[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]
Learn more about finding the solutions of a quadratic equation here:
https://brainly.com/question/3358603
#SPJ2
b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).
Answer:
ratio 80:250
Step-by-step explanation:
there will be less people than babies
Find the simple interest earned on $1500 at 7% p.a. for 5 years.
Answer:
simple interest = $525
total amount = $ 2025
HELP PLEASE ASAP!!!!!!
Answer:
a. d(x) = x
b. yes
Step-by-step explanation:
a. since c(x) = [tex]x^{2}[/tex] + 1
c(d(x)) = (d(x))^2 + 1 (replace x with d(x))
that means d(x) has to be x for c(d(x)) to equal [tex]x^{2}[/tex] + 1
b. for example if you use 2 as x, c(d(x)) will equal 5 since d(x) = 2 and [tex]2^{2}[/tex] + 1 = 5
d(c(x)) will also equal 5 because c(x) = [tex]2^{2}[/tex] + 1 = 5 and d(c(x)) = c(x) = 5
What is the solution to the system of equation? Write the x-value or x-coordinate.
7x+2y=24
8x+2y=30
What is the solution to the system of equation in number 1? Write the y-value or the y- coordinate.
Answer:
X = 6, y=-9
Step-by-step explanation:
7x + 2y =24 equation 1
8x + 2y=30 equation 2
-1(7x + 2y)=-1(24) multiply equation 1 by -1 to eliminate y
-7x-2y=-24 equation 1 multiplied by -1
8x+2y=30 equation 2
x+0=6 add above 2 equations
x=6
solve for y
7x + 2y=24
7(6) + 2y=24
42 + 2y =24
2y=-18
y=-9
check answers
8x + 2y=30
8(6) + 2(-9)=30
48-18=30
30=30
7x + 2y = 24
7(6)+2(-9)=24
42-18=24
24=24
Stacey earns $15 each week plus $.50 for each customer on her paper route.she wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25?
Answer:
15 + .5x = 25
Step-by-step explanation:
.5x = 10
x = 20
Rezolvați în mulțimea numerelor reale ecuația:
x+15−2x−12=x10
DAU COROANA!
-x10−x+3=0
x≈−1.1530188,1.06806865
The cost to rent a bicycle is $5.00 plus $3.00 per hour for x hours. What equation
represents the total cost, C, for x hours? *
1. C = 5x + 3
2.C = x(5 + 3)
3.C = 5 + 3x
4.C = 5x + 3x
Answer:
3
Step-by-step explanation:
hope this helps with the problem
Answer:
C = 5+3x
Step-by-step explanation:
if its 3.00 per hour for x hours, you have to multiply 3 by x hours.
If m∠4 = (5x+4)° and m∠6 = (7x-36)°, then x = ______.
Answer:
x=20
Step-by-step explanation:
Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function
Answer:
y = 45/x
Step-by-step explanation:
Here, we want to write an inverse relationship
for an inverse relationship, the product of both variables will be equal to the constant term
Let us have the constant term as k
Thus, we have it that;
xy = k
9 * 5 = k
k = 45
So the inverse function is;
xy = 45
or y = 45/x
if y is a function of x, we can have it as;
f(x) = 45/x
Triangle JKL has vertices J(0, 2), K(–1, 2), and L(0, –3). What are the coordinates of the image of point J after a dilation with a scale factor of 3?
Given:
The vertices of a triangle JKL are J(0, 2), K(–1, 2), and L(0, –3).
To find:
The coordinates of the image of point J after a dilation with a scale factor of 3.
Solution:
If a figure is dilated by a scale factor of k, then
[tex](x,y)\to (kx,ky)[/tex]
The given triangle JKL dilated by a scale factor of 3. So,
[tex](x,y)\to (3x,3y)[/tex]
The coordinates of point J are J(0,2). By using the above rule, we get
[tex]J(0,2)\to J'(3(0),3(2))[/tex]
[tex]J(0,2)\to J'(0,6)[/tex]
Therefore, the coordinates of the image of point J after a dilation with a scale factor of 3 are J'(0,6).
A rectangular box has a base measuring a by a meters and height of b meters.
Which of the following represents the surface area of the box?
Answer:
2a(a+2b) square metres
Step-by-step explanation:
surface area of a box = 2(lw+wh+lh)
l is the length = a metres
w is the width = a mtres
h is the height = b metres
Substitute into the formula
surface area of a box = 2(a*a+ab+ab)
surface area of a box = 2(a² + 2ab)
surface area of a box = 2a(a+2b) square metres
This give sthe surface area of the box
y = 5х + 9
у = 3х - 2
how many solutions does this equation have ?
Answer:
One
Step-by-step explanation:
THe two equations have different slopes so they will intersect at one point.
please answer thissssssssssssssssssssssss
Answer:
C
Step-by-step explanation:
SA= 2lw+2lh+2wh
Answer:b
Step-by-step explanation:
he graph below shows the results of a middle school election for president of the student body.
How many 6th, 7th, and 8th graders voted for Jose?
A.
320
B.
410
C.
420
D.
370
Answer:
Step-by-step explanation:
area of isosces triangle formula
Answer:
area = height x Base/2
Step-by-step explanation:
Mrs. James is making snow cone cups using a special-coated paper to sell at a school
fundraiser. The snow cone cups have a diameter of 4 inches across the widest part of the
snow cone and are 5 inches tall.
What value most closely represents the amount of coated paper in square inches that Mrs.
James will need to make 150 snow cone cups?
Answer:
6957 inches squared
Step-by-step explanation:
surface area of a cone = πr × (r + √[h² + r²])
h = height
r = radius = 4/2 = 2 inches
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
(3.14 x 2) x (2 + √5² + 2²) = 6.28 x 7.39 = 46.38 inches squared
the amount of coated paper needed for 1 cup is 46.38 inches squared
Amount needed for 150 cups = 46.38 x 150 = 6957
x 150
2. A recipe uses 5 cups of water, 3 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water? Write the ratio in 2 different forms in the box. (2 points)
Answer:
3/5
cups of rice over cups of water
Step-by-step explanation:
I'm sorry I only know one way.
multiply 3x3yand 4x3
Here,
Answer:
21
Step-by-step explanation:
Question 4: *
What are the solutions to the equation 4x2 – 52x + 169 = 121?
Answer:
1.0769
Step-by-step explanation:
multiply 4x2 to get 8
move -52x over the equal sign to make it 52x
so we get something like this: 8 + 169 = 121 + 52x
also move 121 over the equal sign to make it -121
Like this: 8 + 169 - 121 = 52x
Now when you simply, you will get 56 = 52x
Divide both sides by 52
Final answer is 1.0769
What decision rules are the best/worst? Be able to rank the rules from worst-to-best or best-to-worst.
Answer:
NPV, IRR, payback.
Step-by-step explanation:
The best worst decision technique involves the choice modelling. In terms of the overall usefulness in the capital budgeting decisions,
-- the decision rule that is best is the NPV
-- the decision rule that is worst is payback period
The NPV capital budgeting tool provides accurate results and it also assumes cash flow can be reinvested at a discount rate.
The IRR is the second best budgeting tool where it assumes that the cash flows can be reinvested at IRR.
And the worst is the payback where it does not take into account its time value of the money and so it does not yield the correct as well as accurate results.
Therefore, ranking the rules from best to worst is : NPV, IRR, payback.
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich and a bottle of water in your box?
Answer:
1/8 or 0.125
Step-by-step explanation:
So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..
...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."
Well, oof.
Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.
To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:
Turkey, apple and waterTurkey, orange and waterTurkey, orange and juiceTurkey, apple and juiceSame for the ham:
Ham, apple and waterHam, apple and juiceHam, orange and juiceHam, orange and waterPutting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....
..and a fruit.
Hope this helped!
If you need me to show my work, just comment me and I will attach a screenshot!
Source: N/A
what is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters? (no links or bots please)
Answer
A=15cm²
Step-by-step explanation:
let me know if im please :)
Draw a triangle of sides 6cm,5cm,4cm.and draw an isosceles triangle of the same area
Answer:
I think not possible to do
Solve equation
0=-2x+4
Answer:
x=2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
➜-2x+4=0
➜-2x=-4
➜2x=4
➜x=4/2
➜x=2
Simplify:
8x4 – 3x – 7 = [?]
x=-1
Answer:
4
Step-by-step explanation:
8×(-1)⁴-3×(-1)-7=8+3-7=4
Answer:
4
Step-by-step explanation:
Substitute x = - 1 into the expression
8[tex](-1)^{4}[/tex] - 3(- 1) - 7
= 8(1) + 3 - 7
= 8 + 3 - 7
= 11 - 7
= 4
Solve (3^p times 81 = 9) for p
Answer:
p = -2
Step-by-step explanation:
Start by dividing both sides by 81 to get the power by itself.
[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]
Write the fraction using a power of 3.
[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]
This assumes you know about negative exponents: [tex]a^{-n}=\frac{1}{a^n}[/tex]
Carlos has $13 in his bank account and writes a check for $22. After the check has been cashed, what will the bank balance show?
Answer:
Step by step explanation:
13-22=-9
Please help :( ill give brainlest
Answer:
I think for this one it is D.
Step-by-step explanation:
In order for Tim to simplify the expression below, what step will he need to use for each variable's exponent? 6 x y^2 z^4 2 x^2 y^5 z A Divide the exponents B Multiply the exponents C Add the exponents D Subtract the exponents
Answer:
C. Add the exponents
Step-by-step explanation:
The given expression is presented as follows;
6·x·y²·z⁴·2·x²·y⁵·z
The expression can be rearranged by according to like terms as follows;
6·2·x·x²·y²·y⁵·z⁴·z = 3·2·2·x·x²·y²·y⁵·z⁴·z
By the law of indices, we add the exponents of the like terms to simplify the expression as follows;
3·2·2·x·x²·y²·y⁵·z⁴·z = 3·2⁽¹⁺¹⁾·x⁽²⁺¹⁾·y⁽⁵⁺²⁾·z⁽⁴⁺¹⁾ = 3·2²·x³·y⁷·z⁵
In order to simplify the expression the step Tim needs to use for each variable's exponent is to add the exponents.
Sadie sold 45 cupcakes, which were packed in 9 boxes. How many cupcakes were in each box?
Answer:
5 cupcakes per box
Step-by-step explanation:
45 ÷ 9 = 5
:)
Answer:
45/9 or you could say 45 divided by 9 is equal to 5 sooooo!!! 9 x 5 is equal to 45.
Step-by-step explanation: