Solve this system of linear equations. Separate
the x- and y-values with a comma.
-2x = 8 - 6y
-15x = 21 - 6y

Answer:

Sales tax= $6.30

Jacket= $0.9630

Step-by-step explanation:

Jacket price= $90

Sales tax= 7%

Sales tax in dollars

=7/100×90

=$6.30

Jacket in cents

=$90+$6.30

=$96.30 ÷100

=$0.9630

Answer:

8 1/2

Step-by-step explanation:

17 goes into 2 8 times with a remainder of 1

so you get 8 1/2

Answer:

1

53421 divided by three is 17807

Answer:

x = 135

Step-by-step explanation:

m = length of perpendicular line to hypotenuse

81/m = m/144

m² = 81 x 144 = 11664

m =√11664 = 108

Using the Pythagorean theorem:

x² = 81² + 108² = 6561 + 11664 = 18225

x = √18225 = 135

9514 1404 393

Answer:

  x = 135

Step-by-step explanation:

Side x is the geometric mean of the hypotenuse segments it touches.

  x = √(81×(81+144)) = √81×√225 = 9×15

  x = 135

Answer:

15

Step-by-step explanation:

14+14=28+7=35-50=15

Hope that helped (your free to ask any question or if you are confused)

Answer:

[tex](6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} [/tex]

Answer: The most typical symmetric histogram or dot plot has the highest vertical column in the center. This shape is often referred to as being a "normal curve" (or normal distribution). ... Skewed Right (positively skewed) - fewer data plots are found to the right of the graph (toward the larger numeric values).

Answer:

17 ft

Step-by-step explanation:

The triangle on the bottom left is a right triangle.

a² + b² = c²

(8 ft)² + (15 ft)² = (RQ)²

64 ft² + 225 ft² = (RQ)²

(RQ)² = 289 ft²

RQ = 17 ft

Answer:

[tex]-6x^{3} + 322-7x - \frac{b}{x}[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

[tex] \large \boxed{y = mx + b}[/tex]

We already know m-value as we substitute it.

[tex] \large{y = - \frac{1}{9} x + b}[/tex]

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]

Finally, we know b-value. Then we substitute it in our equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Answer:

$4.02

Step-by-step explanation:

Answer:

Is B

Step-by-step explanation:

Answer:

      B

Step-by-step explanation:

Answer:

2nt one

Step-by-step explanation:

Answer:

Expanded Notation Form:

 630.052 =

 600  

+ 30  

+ 0  

+   0.0

+   0.05

+   0.002

Expanded Factors Form:

   630.052 =

 6 × 100  

+ 3 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 5 ×   0.01

+ 2 ×   0.001

Expanded Exponential Form:

 630.052 =

6 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 5 × 10-2

+ 2 × 10-3

Word Form:

630.052 =

six hundred thirty and fifty-two thousandths

Step-by-step explanation:

Answer:

Expanded Notation Form:

630.052 =

600  

+ 30  

+ 0  

+   0.0

+   0.05

+   0.002

Expanded Factors Form:

  630.052 =

6 × 100  

+ 3 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 5 ×   0.01

+ 2 ×   0.001

Expanded Exponential Form:

630.052 =

6 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 5 × 10-2

+ 2 × 10-3

Step-by-step explanation:

Answer:

(f - g)(x)  = -x³ -5x² + 4x + 14

Step-by-step explanation:

        f(x) = 2x³ - 3x² + 5

       g(x) = 3x³ + 2x² - 4x - 9       subtract

(f - g)(x)  = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)

(f - g)(x)  = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)

(f - g)(x)  = (-1)x³ + (-5)x² + (4)x + (14)

(f - g)(x)  = -x³ -5x² + 4x + 14

Answer:

(-4,-3,-2,-1,0,1,2)

Step-by-step explanation:

..........i hope it is............

Answer:

I would say 54 units (sorry if I'm wrong)

Answer:

48 crayons

Step-by-step explanation:

There are 6 boxes total, each with 8 crayons in them. Notice that if you would count all the crayons, you would add 8 to the total number of crayons each time you counted a box. There are 6 boxes, so that would be equivalent to adding 8 a total of six times. You would use multiplication: 6 x 8 which is 48.

Answer:

marley has 48 crayons he bought

step by step equation:

6 times 8 =48

you use multiplication to answer this question

Answer:

The answer is "[tex](25.32, 30.68)[/tex]"

Step-by-step explanation:

Given:

[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]

When [tex]98\%[/tex] confidence level so, the z:

[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]

[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]  

[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]

When  98% confidence interval estimate of the population mean  is,

[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]

Answer:

Clearly, the probability of drawing a heart out of the deck is 13/52, or 1/4. The probability of drawing an even number as card #2 (∈{2,4,6,8,10}) for any suit is 20/51, except when the first card drawn is an even heart, then the probability of the second draw is 19/51.

Answer:

90 degrees it looks like

Step-by-step explanation:

Answer:

9.

h(x)=-x-1

let y =-x-1

interchanging role of x & y

x=-y-1

y=-x-1

h-¹(x)=-x-1

again

f(x)=(2-3x)/2

let

y=(2-3x)/2

interchanging role of x & y

x=(2-3y)/2

2x-2=-3y

y=(2-2x)/3

f-¹(x)=(2-2x)/3

Given function are not inverse of each other.

10.

f(x)=-x+3

let y=-x+3

interchanging role of x & y

x=-y+3

y=3-x

f-¹(x)=-x+3

equal to g(x)=-x+3

Given function are inverse of each other.

Answer:

Step-by-step explanation:

Call h(x) = y (It's easier to see).

y = -x - 1

The first step is always to interchange x and y

y = -x - 1

-x = y - 1

Solve for y

-x + 1 = y

If I understand the question, these two (f(x) and h(x)) are not inverses.

10 is a bit tricky. An inverse can invert into itself: This is called an involution. But if they are differently labeled, I'm not sure. I don't think that this is exactly what is men by an involution. Something like y = x would be. But you have 2 different inverses. I'm not sure that this qualifies.

y = x + 3      

g = x + 3

x = y + 3

x - 3 = y

Answer:

299

Step-by-step explanation:

23x13 = 299

Answer:

A

Step-by-step explanation:

You can see they are multiplying x by 3 every time.

Answer:

A) y=3x

Step-by-step explanation:

find the pattern between x and y. if we try using the equation y=3x, plug in the values to check if its correct.

input(x) = 2

output(y)=6

6=3(2)

6=6

Answer:

55°

Step-by-step explanation:

180-125= 55

since they are supplementary, just subtract from 180