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pogonyaev
3 years ago
9

What is the slope and the y-intercept of the line on the graph below? Answer / a. Slope = -4, y-intercept = 1 B. Slope = -4, y-i

ntercept =4 C. Slope = -1/4, y-intercept = 1 D. Slope = -1/4, y-intercept = 4

Mathematics
2 answers:
Darya [45]3 years ago
8 0
C. Line crosses y-axis at 1. Line goes 1 unit down and 4 units across.
Helen [10]3 years ago
7 0

Answer: The correct answer is C.

Step-by-step explanation: The y-intercept is the point on the graph at which the line crosses over the y-axis. In this case, your y-intercept is 1, because the line crosses over the y-axis at 1. The slope formula is rise/run, or y2 -y1/x2-x1. However since you were not supplies with any coordinates, you'll have to go with rise (up/down) over run (left/right). The slope of the line falls one cube down ward, making the slope negative 1. The slope  "runs" to the right 4 cubes, making the slope -1 (falls 1 cube)/4 (moves to the left/right 4 cubes).

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Y=-x^2<br> y=-7x^2<br> y=2/3x^2
valentinak56 [21]
Y = -x²
y = -7x²
<u>y = 2/3x²</u>
<u>3y</u> = <u>-7 1/3x²
</u> 3         3
  y = -2 4/9x
7 0
3 years ago
Someone help me plz!!
likoan [24]

Answer: x=15

Step-by-step explanation:

Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....

(7x-10)+ (6x-5)=180

Kay so now we can combine like terms.

13x-15=180

Now we can add 15 to both sides.

13x=195

Finally Divide 13 on both sides.

X would then now equal 15.

6 0
2 years ago
Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9
SSSSS [86.1K]

Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

f(g(9)) = 945/16

7 0
3 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
Evaluate 5^-4<br> A.1/625<br> B.-1/625<br> C.625<br> D.-625
Vaselesa [24]

Answer:

A

Step-by-step explanation:

that's the right answer

8 0
2 years ago
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