Use the substitution method to solve the system of equations. Choose the correct ordered pair. ​

Answer:

c

Step-by-step explanation:

4x^2(6x^2-3x)

=24x^4-12x^3

Answer: C. 24x⁴ - 12x³

Step-by-step explanation:

The area of a rectangle is length × width.

4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.

4x² × 6x² = 24x⁴    (4 × 6 = 24 and x² × x² = x⁴)

4x² × -3x = -12x³    (4 × -3 = -12 and x² × x = x³)

So the answer is 24x⁴ - 12x³

Answer:

x≥-4

Step-by-step explanation:

-8x≤36-4

-8x≤32

x≥32/-8 when divide by minus you flip  from≤ to ≥

x≥-4

Answer:

x ≥-4

Step-by-step explanation:

-8x+4 ≤ 36

Subtract 4 from each side

-8x+4-4 ≤ 36-4

-8x ≤ 32

Divide by -8 remembering to flip the inequality

-8x/-8 ≥ 32/-8

x ≥-4

Answer:

Box 1=5 Box2=6 Box3=8 Box4=200

Step-by-step explanation:

Answer:

Step-by-step explanation:

No.of balloons each will get = 5

no.of greeting cards = 6

no.of apples in each basket = 8

no. of words = 200words

hope it helps

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

Answer:

43

Step-by-step explanation:

Answer:

c. We use tan∅ to solve

d. x ≈ 45.64 ft

Step-by-step explanation:

Step 1: Draw out the picture

When we do so, we should be able to see that we are solving for the horizontal leg.

Step 2: Find the trig

tan78° = 214.7/x

xtan78° = 214.7

x = 214.7/tan78°

x = 45.6359

Answer:

A. 4 yards = 12 ft

9 ft : 12 ft = 3:4

B. 5 gallons = 20 quarts

20 quarts : 8 quarts = 5:2

C. 2 meters = 200 cm

800 cm : 200 cm = 4:1

Answers:

A) 3:4

B) 5:2

C) 4:1

Step-by-step explanation:

Convert 4 yards to feet.

1 yard = 3 feet

4 yards = 12 feet

9 feet : 12 feet

Simplify the ratio.

9/3 : 12/3

3 feet : 4 feet

3 : 4

Convert 8 quarts to gallons.

1 quart = 0.25 gallons

8 quarts = 2 gallons

5 gallons : 2 gallons

5 : 2

Convert 2 meters into centimeters.

1 meter = 100 centimeters

2 meters = 200 centimeters

800 centimeters : 200 centimeters

Simplify the ratio.

4 : 1

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

Answer:

24

Step-by-step explanation:

divide 65/8 and then multiply that by 3 and round to the nearest whole number

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

Answer:

6/7 ÷ 3/14

= 6/7 × 14/3

= 2/7 × 14           (we cancelled 3 with 6)

=  2×2                (we cancelled 7 with 14)

= 4

hope it helps

Step-by-step explanation:

Answer:

[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]

Step-by-step explanation:

Hope this helps you!! ( BTW this means / Divide ).

Answer:

O y = -3

Step-by-step explanation:

The line is horizontal.

x = -3 and x = 3 are vertical lines, so they are incorrect.

The line passes through (3, -3).

                                         (x ,  y)

Put y as -3.

y = 3

(-3) = 3

Line y = 3 is incorrect.

(-3) = -3

Line y = -3 is correct.

Answer:

O y = -3

Step-by-step explanation:

Equations beginning with 'x=' would form a vertical line, not a horizontal line.

The point (3,-3) would satisfy y = -3.

-3 = -3

O y = -3 should be the correct answer.

Answer:

2 1/4

Step-by-step explanation:

13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)

Answer:

2 1/4

Step-by-step explanation:

13/4 = 3 1/4

1 = 1

3 - 1 = 2 1/4

Answer:

3x+5y=1025

x+y=275

Step-by-step explanation:

We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.

Equation 1

3x+5y=1025

This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.

Equation 2

x+y=275

The total amount of tickets sold was 275.

answer

2.5 x-0.6=4.9

Step-by-step explanation:

The height of a window is 0.6 feet less than 2.5 times its width.

If the height of the window is 4.9 feet.

Substitute in [1] we have;

2.5x-0.6 = 4.9

Therefore,  an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9

Answer:

Or B

Step-by-step explanation:

for those you look for letters only

Answer:

Step-by-step explanation:

Width =w

Length = 2w + 3

Perimeter = 2*(length +width)

                = 2*(2w +3 + w )

                 = 2*(3w + 3)

                = 6w + 6

b) Perimeter = 30 units

6w + 6 = 30    

Subtract 6 form both sides

6w = 30- 6

6w = 24

Divide both sides by 6

6w/6 = 24/6

w = 4

l = 2w + 3

 = 2*4 + 3

 = 8 + 3

 = 11

Length = 11 units

Width = 4 units

Answer:

x  ≥ 17,500

Step-by-step explanation:

To solve this problem, we will follow the  steps below:

let x be the cost of the next year's model

Writing the question in a mathematical format yield

$14,000 ≤ 80% of  x

This implies ;

80% of  x   ≥$14,000

80% ×   x  ≥$14,000

[tex]\frac{80X}{100}[/tex]   ≥  $14,000

multiply both-side of the inequality by 100

[tex]\frac{80X}{100}[/tex]  × 100 ≥  $14,000  × 100

at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x

80x  ≥  $1,400,000

Divide both-side of the equation by  80

80x /80 ≥  $1,400,000/80

x  ≥ 17,500

Answer:

It is A $288,000

Step-by-step explanation:

Answer:

  A.  $22,032

Step-by-step explanation:

FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.

  0.0765 × $288,000 = $22,032 . . . FICA tax

£99. semoga membantu maksih

Answer:

The answer is 99 dollars

Step-by-step explanation:

Not showing workout...

Just showing how

1) Multiply 1.1452 * 270

2) Multiply 0.89 * 270

3) Subtract the second step from the first step

Hope this helps....

Answer:

1) 600-t

2) 600-t=65

=>t=535

Answer:

- x

Step-by-step explanation:

[tex](x + 3)(x - 4) \\ = x(x - 4) + 3(x - 4) \\ = {x}^{2} - 4x + 3x - 12 \\ = {x}^{2} - x - 12 \\ middle \: term \: = - x[/tex]

Answer:

question 3: 1/3 question 4: 5/7 question 5: 2/3

Answer:

1/3

5/7

2/3

Step-by-step explanation:

The numbers greater than 4 on a fair dice are 5 and 6.

2 numbers out of 6 or 2/6

2/6 = 1/3

Total parts = 7 + 12 + 18 + 5 = 42

12 are orange marbles.

42 - 12 = 30

30 marbles are red, yellow, and purple.

30/42 = 15/21 = 5/7

The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.

4 numbers out of 6 total numbers.

4/6 = 2/3

Answer:

4928 rounded to the nearest hundred is:

4900

Step-by-step explanation:

Hope this hepls you!!

The number 4,928 will be rounded to the nearest hundred is 4900.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.

Given to round off 4928 to the nearest 100

steps to round off,

Determine the two consecutive multiples of 100 that bracket 4928

4928 is between 4900 and 5000

4950 is the midpoint between 4900 and 5000

from the number line, 4928 is less than the midpoint 4950,

Therefore, 4928 rounded to the nearest 100 is 4900.

Hence the digit is 4900.

Learn more about rounding off numbers;

brainly.com/question/13391706

#SPJ2

Answer:

B.

Step-by-step explanation:

Since the variable b is manipulated in f(x) = a(bx - h)² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.

Answer:

-2n + 6

Step-by-step explanation:

When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6

Answer:

E.

Step-by-step explanation:

so first you would add 8 to both sides to get

3w = t + 8

then divide both sides by 3

w = (t + 8) / 3

So the answer is E.

Answer: E) w = (t+8)/3

Step-by-step explanation:

Solve for w in terms of t means you have to isolate w.  Thus, simply do the following:

[tex]3w-8=t\\3w=t+8\\w=\frac{t+8}{3}[/tex]

Hope it helps <3

Hey there! :)

Answer:

a) Blue.

b) 1/2.

Step-by-step explanation:

Find the probabilities for each color:

Blue: 1/8

Yellow: 3/8

Green: 4/8 or 1/2

a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.

b) The probability of the spinner landing on green can be determined by:

# of green sections /total

Therefore:

4 / 8

Simplify the fraction:

4 / 8  = 1 / 2.

Answer:

a) Blue

b) 1/2

Step-by-step explanation:

a) The colors on the spinner are blue (B), green (G), and yellow (Y).

(B) = 1/8

(G) = 4/8

(Y) = 3/8

The spinner is least likely to land on the color blue.

b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.

4/8 can be simplified to 1/2.

Answer:

x> 3       and       x    <5

OR

3 < x <5

Step-by-step explanation:

To solve the compound inequality, we will follow the steps below:

We will first break it into two inequalities.

That is;

5 < 2x - 1<9

5 < 2x - 1     AND         2x - 1<9  

Then we will solve separately

5 < 2x - 1

add 1 to both-side of the equation

5 +1  < 2x - 1 +1

6   < 2x

Divide both-side of the inequality by 2

6 /2  < 2x/2

3 < x

x>3

we will now solve the other inequality

2x - 1<9  

add 1 to  both-side of the equation

2x - 1+1<9 +1

2x <   10

divide both-side of the inequality by 2

2x /2<   10/2

x < 5

Therefore  x> 3       and       x    <5

or

3 < x <5

Answer:

[tex]x = (5 \: . \: 3)[/tex]

Step-by-step explanation:

To solve a compound inequality, seperate it into two inequalities:

[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ x < 5[/tex]

Find the intersection:

[tex]x = (5 \: . \: 3)[/tex]

Answer:

Option B.

Step-by-step explanation:

The given expression is

[tex]\dfrac{x^2+y^3}{2+x}[/tex]

We need to find the value of given expression when x=6 and y=2.

Substitute x=6 and y=2 in the given expression.

[tex]\dfrac{x^2+y^3}{2+x}=\dfrac{(6)^2+(2)^3}{2+(6)}[/tex]

                   [tex]=\dfrac{36+8}{8}[/tex]

                   [tex]=\dfrac{44}{8}[/tex]

                   [tex]=5.5[/tex]

The value of given expression is 5.5 when x=6 and y=2.

Therefore, the correct option is B.

Answer:

he given expression is

We need to find the value of given expression when x=6 and y=2.

Substitute x=6 and y=2 in the given expression.

The value of given expression is 5.5 when x=6 and y=2.

Therefore, the correct option is B.

Step-by-step explanation: