If f(x) = x2 + 4x - 12, find f(2).

Given :

Mr. Rivera pours 2 cups of blue paint into a jar for each art station.

1 cup = 8 ounces.

1 gallon = 128 ounces.

To Find :

How many jars can  he fill with 1 gallon of blue paint.

Solution :

Since, a jar is filled with 2 cups.

1 jar = 2 × 8 = 16 ounces.

So, number of jars required to fill 1 gallon of blue paint is :

[tex]n=\dfrac{128}{16}\\\\n=8[/tex]

Therefore, 8 jars are required to fill 1 gallon of blue paint.

Hence, this is the required solution.

Answer:

3 * 1.4 = 4.2

Answer:

The shortest driving distance between stadium and high schools is 5.831 units.

Answer:

complex solutions:  x = -7 ± i√2

Step-by-step explanation:

[tex]-2x^2-28x-102=0\\{}\qquad\qquad^{\div(-2)}\qquad\ \ ^{\div(-2)}\\x^2+14+51=0\quad\implies\quad a=1\,,\ b=14\,,\ c=51\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-14\pm\sqrt{14^2-4\cdot1\cdot51}}{2\cdot1}=\dfrac{-14\pm\sqrt{196-204}}{2}[/tex]

[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}[/tex]    means NO REAL SOLUTIONS  (as there is no real √[-8])

However in complex numbers we have:[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}=\dfrac{-14\pm2\sqrt{-2}}{2}=\dfrac{2(-7\pm\sqrt{-2})}{2}=-7\pm\sqrt{-2}\\\\\\x_1=-7+i\sqrt2\ ,\qquad x_2=-7-i\sqrt2[/tex]

Answer:

x = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = [tex]\frac{-28}{16}[/tex] = - [tex]\frac{7}{4}[/tex] [ = - 1.75 ]

Answer:-3

Step-by-step explanation:

Answer:

-11/5

Step-by-step explanation:

-4/5 - 7/5 = (-4-7)/5 = -11/5

Answer:

f(x) = 2(x + 3)²

Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

a is vertical shrink/stretch

b is horizontal shrink/stretch

h is horizontal movement left/right

k is vertical movement up/down

h, k is vertex

Step 1: Define variables

h = -3

k = 0

a = 2

Step 2: Write quadratic

f(x) = 2(x + 3)²

Answer:

11/4 the second one

multiply 2 and 4 then add 3

Answer:

D. 280miles

*Step by step explanation*

miles= 160miles × 7gallons / 4 gallons

miles = 280 miles

Answer:

im pretty positive its divide  1,000 by 775, correct me if im wrong.

Answer: It is A multiply .775 by 100 to get 77.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are expected to solve for the change given the following values of x

0,h

so we substitute x= 0 and x=h in the given expression, get the result, and subtract the results from each other

for x=0

[tex]g(x) = 4 x + 7\\\\g(0)=4(0)+7\\\\g(0)=0+7\\\\g(0)=7[/tex]

for x=h

[tex]g(x) = 4 x + 7\\\\ g(h)=4(0)+7 \\\\g(h)=4h+7 \\\\g(h)=4h+7[/tex]

The change would be

[tex]g(h)-g(0)= (4h+7)-7\\\\g(h)-g(0)= 4h+7-7\\\\g(h)-g(0)= 4h[/tex]

Answer:

since they are corresponding angle

(6x)°= (5x =10)°

or (6x) - (5x) = 10°

x = 10°

Kerry will earn $244.50 in total.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Kerry charges $25.50 per lawn to cut grass on Saturdays

and $28.50 per lawn to cut grass on Sundays.

If 4 lawns cuts in Saturday then the charges would be

=25. 50 x 4

=102

and, If 5 lawns cuts in Sunday then the charges would be

=28. 50 x 5

=142.5

Hence, the total she will earn 244.50.

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Answer:

Step-by-step explanation:

12z - 3 > 27z - 15

-15z - 3 > -15

-15z > -12

z < 12/15= 4/5

Answer:

the lines are sinceatect

Step-by-step explanation:

Answer:

x= 3, y=0, z= 1

Step-by-step explanation:

Let's label the 3 given equations first.

2x +3y +4z= 10 -----(1)

3x +2y -4z= 5 -----(2)

x +4y +2z= 5 -----(3)

(1) +(2):

This is to eliminate the z term.

2x +3y +4z +3x +2y -4z= 10 +5

5x +5y= 15

Divide by 5 on both sides:

x +y= 3 -----(4)

(3) ×2:

2x +8y +4z= 10 -----(5)

(2) +(5):

This is to eliminate z term.

3x +2y -4z + 2x +8y +4z= 5 +10

5x +10y= 15

Divide by 5 throughout.

x +2y= 3 -----(6)

(6) -(4):

x +2y -(x +y)= 3 -3

x +2y -x -y= 0

y= 0

subst. y=0 into (4):

x +0= 3

x= 3

subst. x=3, y=0 into (3):

3 +4(0) +2z= 5

3 +2z= 5

2z= 5 -3

2z= 2

z= 2÷2

z= 1

Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

Answer: x = 2y

Step-by-step explanation:

Let's solve for x.

2(3x+4y)=4x+12y

Step 1: Add -4x to both sides.

6x+8y+−4x=4x+12y+−4x

2x+8y=12y

Step 2: Add -8y to both sides.

2x+8y+−8y=12y+−8y

2x=4y

Step 3: Divide both sides by 2.

2x

2

=

4y

2

x=2y

Answer:

x=2y

Solve for x

2 ( 3x + 4y ) = 4x + 12y

6x + 8y = 4x + 12y

6x + 8y - 4x = 12y

2x + 8y = 12y

2x = 12y - 8y

2x = 4y

2x / 2 = 4y / 2

x = 4y / 2

x = 2y

Sorry if I'm wrong

Answer:

-5a + 9b

Step-by-step explanation:

- (5a - 9b)

Distribute the minus sign

-5a + 9b

Answer:

m=1/7

Step-by-step explanation:

Labeled the points and used Slope of a line formula.

Answer:

15,420 cm

Step-by-step explanation:

Given the actual distance between the library and train station to be 500 ft, to find the distance between them in centimeters, we ill convert 500 ft to cm as shown;

Given the conversion:

1 ft = 30.48cm

500ft = x cm

Cross multiply

x cm * 1ft= 30.48 cm * 500ft

x cm = 30.48 cm * 500ft/1ft

x cm = 15,240 cm

Hence the distance between them in centimeters on the map is 15,420 cm

Answer:

c. 3.2

Step-by-step explanation:

5(x+2)=7(4-x)

5(x+2)=7(-x+4)

5x+5*2=-7x+7*4

Answer:

B: 200

Step-by-step explanation:

The sqr of 200 is equal to 14.14. when plugged into the perimeters 13.8<x<14.5 , 14.14 satisfies the condition

The square root has a value between 13.8 and 14.5 is 200.

Option (B) is correct.

A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.

Given:

The square root has a value between 13.8 and 14.5.

We have to find the square root has a value between 13.8 and 14.5.

According to given question we have

[tex]13.8 ^{2} =190.44\\\\14.5^{2} =210.25\\[/tex]

So, the square root has a value between 13.8 and 14.5 is 200.

when plugged into the perimeters 13.8<x<14.5.

Therefore, the square root has a value between 13.8 and 14.5 is 200.

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Start with out given statement:

Line KM bisects <JKL and the reason for that is because it's given.

For statement 2, we know that m<JKM = m<MKL

because of the definition of an angle bisector.

For statement 3, we can use the angle addition

postulate to get m<JKM + m<MKL = m<JKL.

For statement 4, we use substitution from

the info in statement 2 to get m<MKL + m<MKL = m<JKL.

For statement 5, we simplify to get 2(m < KML) = m<JKL.

For statement 5, we use the division property of equality.

All the reasons are underlined.

Answer:

0

Step-by-step explanation:

[tex]2018 \times (|\frac{1}{2017} - \frac{1}{2016} | + |\frac{1}{2018} - \frac{1}{2017}| - |\frac{1}{2018} - \frac{1}{2016}|)[/tex]

1/2017 is smaller than 1/2016. 1/2018 is smaller than 1/2017. And 1/2018 is smaller than 1/2016. So we can rewrite this as:

[tex]2018 \times ((\frac{1}{2016} - \frac{1}{2017} ) + (\frac{1}{2017} - \frac{1}{2018}) - (\frac{1}{2016} - \frac{1}{2018}))[/tex]

Distribute:

[tex]2018 \times (\frac{1}{2016} - \frac{1}{2017} + \frac{1}{2017} - \frac{1}{2018} - \frac{1}{2016} + \frac{1}{2018})[/tex]

Simplify:

[tex]2018 \times (0)[/tex]

[tex]0[/tex]

18 + 3r

3      3

6  +  r

3(r+6)

The slope of the linear function is negative

The graph is a linear function that has the following property:

The above highlight implies that the slope of the line is negative

Hence, the true statement is (2) Negative

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Answer:

Negative

Step-by-step explanation:

Edge

Answer:

-(33+110z)/10z

Step-by-step explanation:

(-7/2z +4)+(1/5z -15)

from BODMAS, solving the one in the bracket

First(-7/2z +4)+(1/5z -15)

Find the Lcm

[-7/2z +4] +[1/5z -15]

(7+8z)/2z +(1-75z)/5z

find the Lcm which is 10z

[5(-7+8z) + 2(1-75z)]/10z

[(-35+40z)+(2-150z)]10z

(-35+2+40z-150z)/10z

(-33-110z)/10z

-(33+110z)/10z

The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The sum of {(-7/2z) + 4} + (1/5z) - 15}.

= (-7/2z) + (1/5z) + 4 - 15.

= (-14 + 2)/10z - 11.

= - 12/10z - 11.                                    (LCM of 2z and 5z is 10z)

= - 6/5z - 11.

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