If the lines in a system of equations have different slopes and the same y-intercept, how many solutions does the system have?

Answer:

The unit rate[tex]\frac{4}{1}[/tex] of the graph is 4, the slope of the graph is 4, and the comparison between answers is that they are equal.

Step-by-step explanation:

For every increase of 1 in the X value of the graph, the Y value increases by 4, so the slope would be [tex]\frac{4}{1}[/tex] or 4.

14.81 radians/second

Step-by-step explanation:

Answer:

$38.48

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Answer:

a = 7.4

b = 9.6

Step-by-step explanation:

set up a proportion to find 'b':

XN / NY = MN / NO

8/b = 13/(b+6)

cross-multiply:

13b = 8(b+6)

13b = 8b + 48

5b = 48

b = 9.6

set up a proportion to find 'a':

XN / XY = MN / MO

8/a = 13/12

cross-multiply:

13a = 96

a ≈ 7.4

Answer: 64 inches

Step-by-step explanation: Solve using sohcahtoa for missing info

Answer:

0

Step-by-step explanation:

Answer: -2.5

Step-by-step explanation:

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

-5 is a constant because its a number on its own without a variable

Answer:

There is only 1 constant

Step-by-step explanation:

the constant is -5 because it's alone without any variables

Answer:

64

Step-by-step explanation:

(2^3)^2 = (8)^2 = 64

Los lados es = sqrt(1681)

=41cm

Answer:

5/6 or 0.83

Step-by-step explanation:

5 ÷ 6 = 0.83 or 5/6

Answer:

Mean- 14.5

Median- 15.5

Interquartile Range- 7.5

Step-by-step explanation:

The mean is a type of average. It is the sum (total) of all the values in a set of data.

The median is the middle number in a sorted, ascending or descending, list of numbers.

The interquartile range describes the middle 50% of values when ordered from lowest to highest.

Answer:

3x2+6x−10

y=3x2+6x−10

Rewrite the equation in vertex form.

y=3(x+1)2−13

Use the vertex form, y=a(x-h)2+k, to determine the values of a h, and k.a=3h=−1k=−13 (h,k).(−1,13)

Step-by-step explanation:

Given:

The equation is

[tex]y=5x^3-6x^2-4x+8[/tex]

To find:

The coordinates of the turning point.

Solution:

We have,

[tex]y=5x^3-6x^2-4x+8[/tex]

Differentiate with respect to x.

[tex]\dfrac{dy}{dx}=5(3x^2)-6(2x)-4(1)+(0)[/tex]

[tex]\dfrac{dy}{dx}=15x^2-12x-4[/tex]

For the turning points [tex]\dfrac{dy}{dx}=0[/tex].

[tex]15x^2-12x-4=0[/tex]

Using quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(15)(-4)}}{2(15)}[/tex]

[tex]x=\dfrac{12\pm \sqrt{144+240}}{30}[/tex]

[tex]x=\dfrac{12\pm \sqrt{384}}{30}[/tex]

Now,

[tex]x=\dfrac{12+\sqrt{384}}{30}\text{ and }x=\dfrac{12-\sqrt{384}}{30}[/tex]

[tex]x\approx 1.053\text{ and }x\approx-0.253[/tex]

Putting x=1.053 in the given equation, we get

[tex]y=5(1.053)^3-6(1.053)^2-4(1.053)+8[/tex]

[tex]y\approx 2.973[/tex]

Putting x=−0.253 in the given equation, we get

[tex]y=5(-0.253)^3-6(-0.253)^2-4(-0.253)+8[/tex]

[tex]y\approx 8.547[/tex]

Therefore, the turning points are (1.053,2.973) and (-0.253, 8.547).

Answer:

Total time Shirley spent  going and coming back from the mall= 152.5 minutes

Step-by-step explanation:

Usual time it takes to reach mall from home = 40 minutes

New time she took to reach the mall=12.5 minutes later than her usual time

= 40 minutes + 12.5 minutes= 52.5 minutes

New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes  + 80 minutes

=100 minutes

Total time  going and coming back from the mall =52.5 minutes  +100 minutes = 152.5 minutes

Answer:

400 in²

Step-by-step explanation:

Consider the figure as a triangle on top of a parallelogram. The tic marks on the sides mean that the lengths with the same tic marks are equal.

The area of the parallelogram is 20×16=320

The area of the triangle is (20×8)/2= 80

Add the two areas: 320 + 80 = 400

8r^2 eight r squared hope this is right

It is the simplest fraction form

Answer:

its WG, WS, WC, WT

Step-by-step explanation:

Answer:

wgt, wgf, wsc, wsh

Step-by-step explanation:

Answer:

w=5

Step-by-step explanation:

Answer:

Hey! Your answer is , x >20

Step-by-step explanation:

Hope this helps! :)

Have a nice day!

Answer:

a is how many times bella went 2 yard depot

b is how many gardening gloves she bought

c is how many gardening hats she bought

Answer:

6

Step-by-step explanation:

-(-6)=6

Answer:

54.5%

Step-by-step explanation:

Given data

Cost price= $15

Selling price= $33

Mark up percent =????

%markup= selling-cost/selling*100

substitute

%markup= 33-15/33*100

%markup= 18/33*100

%markup=0.545*100

%markup= 54.5%

Hence the Percent markup is 54.5%

Answer:

7745 -40374 is the correct statement

Answer:

I think it is b but I could be wrong

Answer: John is now 18 years old

Step-by-step explanation:

Let, John's age is now x years.

5 years ago, he was (x - 5) years old

In 8 years, he will be (x + 8) years old

By the given condition,

x - 5 = 1/2 (x + 8)

⇒ 2 (x - 5) = x + 8

⇒ 2x - 10 = x + 8

⇒ 2x - x = 8 + 10

⇒ x = 18

Answer:

85 for each person including kevin