Which equation can be used to solve for x?
Choose from the Equation Bank please

Answer:

C) x = −5 and x = 1

Step-by-step explanation:

I took the test and I got it right

The solutions to the quadratic equation [tex]4(x + 2)^2 = 36[/tex] are as x = -5 and x = 1.

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

We have the given quadratic equation

[tex]4(x + 2)^2 = 36[/tex]

solving for x

[tex]4(x + 2)^2 = 36\\\\(x + 2)^2 = 36/4\\\\(x + 2)^2 = 9\\\\(x + 2)^2 = 3^2\\\\(x + 2) = 3\\\\x = 1\\or \\\\x + 2 = -3\\\\x = -5[/tex]

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Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]-2(x+3)=-10\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+3\right)}{-2}=\frac{-10}{-2}\\Simplify\\\frac{-2\left(x+3\right)}{-2}=\frac{-10}{-2}\\\frac{-2\left(x+3\right)}{-2}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{2\left(x+3\right)}{2}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=x+3[/tex]

[tex]\mathrm{Simplify\:}\frac{-10}{-2}:\quad 5\\\frac{-10}{-2}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{10}{2}\\\mathrm{Divide\:the\:numbers:}\:\frac{10}{2}=5\\=5\\x+3=5\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\x+3-3=5-3\\\mathrm{Simplify}\\x=2[/tex]

Answer:

x+3=-10/-2=5

x=5-3=2

Answer:

1330.808 euros

Step-by-step explanation:

Let's first calculate the total amount of kilograms,

for the first 60, we have to:

50 kg

4 hg = 0.5 kg

60 dag = 0.6

5 g = 0.005 kg

adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60

51.105 * 60 = 3066.3

now for the other 20:

53 kg

2 hg = 0.2 kg

16 dag = 0.16

5 g = 0.005

adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20

53,365 * 20 = 1067.3

in total it would be: 3066.3 + 1067.3 = 4133.6

they tell us that 1/5 is the quantity in liters:

4133.6 * 1/5 = 826.72 liters

so to calculate the earnings it would be:

2.65 * 826.72 - 860 = 1330.808

which means that in net earnings are 1330.808 euross

Answer:

slope = 2

Step-by-step explanation:

slope =  1 - (-5)

            -------------

              2 - (-1)

        =   1+5

           ---------

              2 +1

       =   6 /3

       = 2

Answer: 53,130 possible combinations

Step-by-step explanation:

First, we want to find how much is the 20% of 25.

This is:

N = (20%/100%)*25 = 5.

So 5 students out of 25 are selected.

When we want to calculate the number of combinations of N elements it a group of K elements, we have:

[tex]C = \frac{N!}{(N - K)!*K!}[/tex]

Here N = 25, and K = 5

[tex]C = \frac{25!}{20!*5!} = \frac{25*24*23*22*21}{5*4*3*2*1} = 53,130[/tex]

so we have 53,130 combinations.

Answer:

You did not write the options, but let's solve it in a general way.

f(x) and g(x) are quadratic functions, this means that:

f(x) = a*x^2 + b*x + c

g(x) = d*x^2 + e*x + f

now, (g + f)(x) is a linear function that goes trough the points (-3, 4), (0,1 ) and (1,0)

(g + f)(x) = s*x + k

We can find the slope of this linear function as:

S = (y2 - y1)/(x2 - x1)

i will use the first two points.

S = (1 - 4)/(0 - (-3) = -3/3 = -1

so we have: ( f + h)(x) = -1*x + k

and we can find k using one of the points, for example (0, 1)

1 = -1*0 + k

b = 1.

so we have: (f + g)(x) = -1*x + 1.

Now, (f+g)(x) = (a + d)*x^2 + (b + e)*x + (c + f) = -1*x + 1.

So we must have that:

a = -d

b + e = -1

c + f = 1.

Answer:

A. The leading coefficients of f(x) and g(x) are opposites.Step-by-step explanation:

Answer:

4 weeks, Jose and Martin will have the same amount of money in 4 weeks which is $150 each

Step-by-step explanation:

Jose:

y = -25x +250

Martin:

y=30x+30

Substitute x= 6 into the two equations

Jose:

y = -25(6) + 250

= -150+250

y = 100

Martin:

y = 30(6) +30

=180+30

y = 2100

Substitute x=4 into the two equations

Jose:

y = -25(4) + 250

=-100+250

y = 150

Martin:

y = 30(4) + 30

=120+30

y = 150

Step-by-step explanation:

15 x 3 = 45

13 x 3 = 39

So

45 ÷ 3 = 15

39 ÷ 3 = 13

36 ÷ 3 = 12

X=12

Answer:

1/4

Step-by-step explanation:

We have 3/4 of a tank

We will use 2/3 of the  gas in the tank

That will leave us 1/4

Mathematically

3/4*2/3 = 2/4 =1/2  this is the amount that is used

Subtract this from the amount in the tank

3/4 -1/2

3/4 -2/4 = 1/4

This is the amount that is left in the tank

Answer:

A

Step-by-step explanation:

Carlos' score was 2 standard deviations from the mean, so his z-score was 2.0. You can either use the empirical 68-95-98.5 rule, or you can plug it into your calculator as normalcdf(-999, 2) = .977

So 97.7% of people had a score lower than Carlos!

.977 * 1.5 million = 1,465,500 people

Answer:

B. X > 0

Step-by-step explanation:

It is X > 0, because the circle is empty, which means that X cannot be 0, which allows s to eliminate C and D as an answer. The arrow shows that X is greater than 0. Therefore, you can eliminate A as an answer, leaving us with B. X > 0

Answer:

First one: Rotation

Second one: Translation

Third one: Reflection

Fourth one: Translation

Step-by-step explanation:

Answer:

I hope I helped you!

Answer:

468 square feet; Option C

Step-by-step explanation:

We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:

Area ⇒ 15 * 10 = 150 ft^2

Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:

Area ⇒ 9 * 10 = 90 ft^2

This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2

Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2

This means the surface area of the right, triangular prism is:

150 + 90 + 120 + 108 = Answer: 468 square feet

Answer:

The greatest number of arrangements she can make would be that she uses 4 groups of 5 daisies and 4 groups of 4 roses.

The greatest number of arrangements is 4, and each group has 5 daises and 4 roses.

The biggest positive integer that divides both numbers and is a divisor of both is known as the greatest common divisor of two integers.

Given that, Amanda has 20 daises and 16 roses.

The number of arrangements that can be made using 20 daises and 16 roses is the greatest number that can divide both the numbers 20 and 16.

The greatest number that can divide both 20 and 16 is 4.

Hence, 4 groups of arrangements can be made.

The number of daises in a group is:

20/4

= 5

The number of roses in a group is:

16/4

= 4

Hence, the greatest number of arrangements is 4, and each group has 5 daises and 4 roses.

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Answer:

Step-by-step explanation:

For this problem, you have to find out how much each cereal costs per ounce. So you must divide each price by the amount of cereal you get and compare:

$4.08/16oz=$0.255/oz

Find the unit price ($/oz) of the remaining 2 then compare. The lowest value is the best buy!  

Answer:

Step-by-step explanation:

radius of semicircle =4.7/2 m

area of semicircle=1/2 πr²

=1/2 ×π×(4.7)²

≈8.67 m²

fertiliser=8.67×20

=173.4

≈173 gm

Answer:

180 degrees

Step-by-step explanation:

if it was to be 270 degrees the the image should be formed opposite to triangle A'B'C'

If it was to be 360 degrees the image should be back to original triangle and if it was 90 degrees the triangle should be triangle A'B'C'

Answer:

Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b minus 3 r.

Step-by-step explanation:

(8b-4r)-(2b-r)

Open the bracket

=8b-4r-2b+r

Collect the like terms and simplify

=8b-2b-4r+r

=6b-3r

Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b minus 3 r.

Answer:

B

Step-by-step explanation:

I took it on edg

Answer:

The area of the label is 36*pi in²

Step-by-step explanation:

A can of soup has a shape of a cylinder, therefore it's volume is equal to:

Volume = pi*r²*h

We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:

Lateral area = 2*pi*r*h

Applying the data from the problem we have:

54*pi = pi*r²*6

pi*r²*6 = 54*pi

r² = 54*pi/(pi*6)

r² = 54/6 = 9

r = sqrt(9) = 3 in

Therefore the lateral area is:

lateral area = 2*pi*(3)*(6) = 36*pi in²

Answer:

18π in ²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder.

Given data

volume v = 54 π in³

Height h = 6 in

In this problem we are considering the surface area of the cylinder

(not the total though ) but the curved surface area

Let us solve for the radius of the shape

Volume = πr²h

54π= π*r²*6

54/6= r²

r²= 9

r= √ 9

r= 3in

Area of curved surface = 2πrh

Area = 2πrh

Area =2π*3*6

Area = 18π in ²

Answer:

Credit to the guy that has already answer. HE IS CORRECT!! THE ANSWER IS D=7/9 AND 6!!!!!!!!!!!!!!!

Step-by-step explanation:

click on the link below it shows a screenshot of the correct answer!!

Stay Safe Guys!!!!

Answer:

15 Weeks

Step-by-step explanation:

$11,000 - $5,000 = $6,000 This is how much he needs to pay.

$6,000 ÷ $200 = 30 This is how many weeks he needs to work to get the $6,000

The questions is asking how many weeks does he have to work to get %50, Therefore 30 x .50 = 15 which is your answer.

Hope this helps!!!

-Conrad

Answer:

30 kilograms

Step-by-step explanation:

there are two ways you can solve this

1. since each package is 6 kg, you can multiply it by 5 to get 30 kg

2. or, you can add it together. for example, you can add 6 five times. 6+6+6+6+6=30

:)

Answer: 30 kg

Step-by-step explanation:

Answer:

V =165 ft^3

Step-by-step explanation:

V = Bh  Where B is the area of the base and h is the height

B is the area of the triangular base

B = 1/2 (5) *6

B = 15 ft^2

V = 15 * 11

V =165 ft^3

Answer:

A right triangle

Step-by-step explanation:

It's where the altitudes all intersect. In a right triangle, the legs of the right triangle are the altitudes-- especially evident when the right angle is at the base. The altitude from the hypotenuse to the right angle also passes through the right angle.

Answer:

43 32 24

Step-by-step explanation:

4×4×4×3×3×2×2×2×2

I count 3 fours, 2 threes, 4 twos.

4×4×4×3×3×2×2×2×2

[tex]= 4^3 3^2 2^4[/tex]

That might be the answer; we don't see the choices.

Since 4 is 2² we can take another step.

[tex]= (2^2)^3 3^2 2^4[/tex]

[tex]= 2^6 3^2 2^4[/tex]

[tex]= 2^{10} 3^2[/tex]

That's the full prime factorization.

Answer: 2¹⁰ 3²

Answer:

the fourth option

Step-by-step explanation:

x^18y^24/x^2y^2

=x^16y^22

Therefore, the fourth option

I hope this helped and have a good rest of your day!

Answer:

1520.53

Step-by-step explanation:

V = pi * r^2 * h

the radius is half of the diameter and 11/2 = 5.5

V = pi * 5.5^2 * 16

V = 1520.53

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Hope this helps! :) If so, please mark my answer as brainliest!

Answer:

6 2/9 hours

Step-by-step explanation:

Take the number of required hours minus the number of hours worked to get the number of hours still needed.

45 - 38 7/9 = 6 2/9 hours

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