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2 years ago

What is the equation of a slope of -3 and a 4- intercept of -8

Mathematics

1 answer:

pashok25 [27]2 years ago

3 0

If it says "what is the equation of a slope of -3 and a y-intercept of -8"

Slope-intercept form: y = mx + b

("m" is the slope, "b" is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]

Since you know:

m = -3

b = -8 Substitute/plug it into the equation

y = mx + b

y = -3x - 8

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F(3)= 5x^2 - 4x + 9<br> evaluate this quadratic function

Neporo4naja [7]

Answer:

$f(3) = 38$

Step-by-step explanation:

Given the quadratic function

$f\left(x\right)=\:5x^2\:-\:4x\:+\:9$

Evaluating the quadratic function

$f\left(x\right)=\:5x^2\:-\:4x\:+\:9$

substitute x = 3

$f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9$

$f(3) = 45-16+9$

$f(3) = 38$

Therefore,

$f(3) = 38$

6 0

2 years ago

Pyramid A is a right square pyramid with a height of 100 m and a square base with a perimeter of 356 m. Pyramid B has a square b

Tomtit [17]

Answer:

The volume of pyramid B is 3.5 times greater than the volume of pyramid A

Step-by-step explanation:

The area of squared based a pyramid is given by:

$Area = \frac{1}{3}*s*s*h$

Where 's' the length of the side of the base and 'h' is the height.

For pyramid A:

h= 100 m

s= 356/4 = 89 m

$Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3$

For pyramid B:

h= 215 m

s= 456/4 = 114 m

$Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3$

Pyramid B has a greater volume and the ratio between volumes is:

$\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5$

3 0

3 years ago

There are 25 marbles, 5 are red, 5 are blue, 5 are green, 5 are yellow, and 5 are purple. Picking one without looking, what is t

Dvinal [7]

Even chance/possibly with all the other colors
because there is 5 of each colour making it not so likely to pull one color more then the other but less likely of not pulling that color at all

hope this helps

7 0

3 years ago

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The first step in the process for factoring the trinomial x2-3x - 40

Alexxx [7]

We need two numbers that when multiplied will give you -40 and when added will give you -3:
(x+5) (x-8) this is your answer. And you want to know the process Here it goes. And attached is a chart I made you so you can visually see what this process is telling you:
1) identify a,b, and c in the trinomial ax^2 + bx+c (in your case it's 1x^2-3x-40= x^2-3x-40)
2) write down all factor pairs of c (numbers that multiplied produce -40)
3) identify which factor pair from the previous step sums up to b
4) Substitute factor pairs into two binomials

3 0

2 years ago

If f(x)=5x^4+3, then what is the remainder when f(x) is divided by x-1?

KatRina [158]

8

This is actually fairly simple. If you take the x-1 and set it equal to 0 you get 1. And if you plug that value into the x you get 8, which is the remainder. This is called the remainder value theorem.

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2 years ago

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