7. Graph the equation using the slope and the​ y-intercept.
Please help

Answer:

  (d)  X = [-27, 8]

Step-by-step explanation:

The solution to the matrix equation can be found by left-multiplying both sides of the equation by the inverse of the coefficient matrix.

  AX = B . . . . given

  X = A⁻¹B

__

  [tex]X=\left[\begin{array}{cc}2&7\\1&4\end{array}\right]^{-1}\left[\begin{array}{c}2\\5\end{array}\right] =\left[\begin{array}{cc}4&-7\\-1&2\end{array}\right]\left[\begin{array}{c}2\\5\end{array}\right] \\\\X=\left[\begin{array}{c}-27\\8\end{array}\right][/tex]

_____

Additional comment

A calculator or spreadsheet can help with this. The solution can also be found by row-reducing the augmented matrix.

Answer:

2500m³

Step-by-step explanation:

A = length x width x height

50m x 25m x 2 m

=2500m³

Answer:

60%

Step-by-step explanation:

Percent means per hundred. Change to "per hundred"

3/5 = 6/10 = 60/100

3/5 is 60%

OR

Divide 3/5 means 3÷5...

3÷5 = .6

Change decimal to percent by multiplying by 100.

.6 × 100 = 60

60%

Answer:

60%

Step-by-step explanation:

well if they only finished 3/5 it’s going to be

60/100 = 60%

Answer:

[tex]A = 10,000(1.05t)[/tex] where t is in years

Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

We can use the simple interest formula [tex]A = P(1+rt)[/tex] where A is the final amount, P is the principal, r is the rate, and t is time.

We can plug in 10,000 for P and 0.05 for r, giving us

[tex]A = 10,000(1.05t)[/tex]

The unicycle would move 2.512 meters if the wheel turns once

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

An equation is an expression that shows the relationship between two or more numbers and variables.

a) The circumference of the wheel = π * diameter = 3.14 * 80 cm = 251.2 cm = 2.512 m

The unicycle would move 2.512 meters if the wheel turns once

b) For a 100m race:

Number of wheel rotation = 100 m / 2.512 m = 39.8

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

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Answer:

±[tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex]

Step-by-step explanation:

We can rewrite [tex]sin(\frac{7\pi }{12} )[/tex] as [tex]sin(\frac{7\pi }{6} (\frac{1}{2} ))[/tex]. The half-angle identity for sin tells us that [tex]sin(\frac{x}{2} ) = \sqrt{\frac{1 - cos(x)}{2} }[/tex] (plus or minus). Now, we can plug in [tex]\frac{7\pi }{6}[/tex] for x. When we do that, we get [tex]\sqrt{\frac{1 - (-\frac{\sqrt{3}}{2}) }{2} }[/tex] =  ± [tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex].

Hope this helped! :)

The circumference of the circle with a radius of 49mm is 308mm

The circumference of the circle is also known as its perimeter. The formula is expressed as:

C = 2pi r

r is the radius = 49mm

pi = 22/7

Substitute

C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm

Hence the circumference of the circle with a radius of 49mm is 308mm

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Answer:

B

Step-by-step explanation:

Answer:

14.

Step-by-step explanation:

42 = 2 8 3 * 7

Largest prime factor = 7

28 = 2 * 2 * 7

Smallest prime factor = 2

Answer = 2*7 = 14.

Answer:

4.33

Step-by-step explanation:

1/3=0.33 recuring

4 just eqauls 4

so you add 0.3 recuring to 4

and depending on significant figures it wants you round it ill assume it wants 3 and go 4.33

Using it's concept, it is found that the desired probability is given by:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.

Then:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A computer generates 50 integers from 1 to 8 at random.

Total number of outcomes = 5+8+9+7+4+6+5+6  = 50

Computer generating a 2 = 8

Computer generating a 4 = 7

P(computer generating a 2) = 8/50

P(computer generating a 4) = 7/50

P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or

= 0.3×100

= 30%

Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

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Answer:

Expression D has the least value

Answer:

no solution

Step-by-step explanation:

6x + 33 = 6x + 36

33 ≠ 36

Answer:

no solutions

Step-by-step explanation:

6x + 33 = 6(x + 6) ← distribute parenthesis

6x + 33 = 6x + 36 ( subtract 33 from both sides )

6x = 6x + 3 ( subtract 6x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

]

Answer:

62, since positive doesn't change to negative.

Answer:

d)142º

Step-by-step explanation:

[tex]\widehat{AB}=2\times71\º=142\º[/tex]

[tex]7 \times {10}^{ - 3} [/tex]

Hopefully you got what I meant, this is easy.

Answer:

diameter - B

central angle - E

radius - A

tangent - D

minor arc - F

chord - C

The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We know the perimeter of the rectangle = 2(w+l)

The sum of w+w+l = 120  (given)

2w + l = 120

From the above equation, we can calculate the l of the rectangle:

We have w = 10 feet

l = 100 feet

Area = 10×100 = 1000 square feet

When w = 30

l = 60 feet

Area = 60×30 = 1800 square feet

When w = 40

l = 40 feet

Area = 40×40 = 1600 square feet

Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

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Answer:

here we go

Step-by-step explanation:

Stirring a cup of hot tea causes a metal spoon to get warm. Which statement best explains why the spoon gets warm? Heat energy transfers from the hot tea to the spoon.

Answer:

Step-by-step explanation:

Answer:

d=6 & p=13

Step-by-step explanation:

1. P+d=19

×9

2. 9p +5.50d=150

×1

9p+9d=171

-

9p +5.50d=150

3.5d=21

d=6

Substituting d=6 in 1.

P+6=19

P=13

Answer: 40.69°

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Answer:

1) yes--common difference is 3.

Answer:

By multiplying -2 by 5 you get:

Step-by-step explanation:

- 10

Answer:

1,514,919

Step-by-step explanation:

I just used a calculator cuz in 6th you can use one but here's the answer

Answer:

If the couple purchases a house and they made all their payments, their total cost of the house would be $1,541,919.

Explanation:

$256,000
$443,504
$513,765
$328,650 +
------------------

$1,541,919