Can someone help me ASAP!!

Mathematics

2 answers:

Mkey [24]3 years ago

7 0

It’s the light blue one!!!

KATRIN_1 [288]3 years ago

7 0

9514 1404 393

Answer:

(a) No, because it will not go through the origin

Step-by-step explanation:

The equation is that of a straight line, but its y-intercept is 2, not 0. Because the y-intercept is not zero, the line does not go through the origin, and the relationship is not proportional.

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How to solve and figure it out

Vilka [71]

So your equation is currently in point-slope form; however, to figure out the slope and y-intercept, you'd be better off in slope-intercept form: y = mx + b

while in point-slope form, y - y1 = m(x - x1), you can definitely see the slope as -5, you can't see the y-intercept as easily. x-intercepts are actually the solutions/zeros of a function, and it was included in the answer choices to confuse you.

you're correct about -5 being a decreasing slope. but to figure out the y-intercept, you need to convert to slope-intercept form.

y - 4 = -5(x + 1) ... distribute the -5
y - 4 = -5x - 5 ... add 4
y = -5x - 1

and in the form of y = mx + b, where m is the slope and b is the y-intercept, you can see that you have a decreasing slope of -5 and a y-intercept of -1. your correct answer is A. choices C and D were thrown in to distract you and make you think that the -5(x + 1) was somehow related to discovering the x-intercept.

5 0

3 years ago

If z varies inversely as w, and z=7 when w=8, find z when w=14

Feliz [49]

Z varies inversely as w ⇒ z*w=k
when z=7 and w=8 ⇒ 7*8=56=k

when w=14 ⇒ z*14=56
⇒z=56/14
⇒ z=4

8 0

2 years ago

F(x)=cos(x). Find the x-intercepts of f(x) on [0, 2).

balu736 [363]

The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

<h3>What is the x-intercept of the function?</h3>

The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0

<h3>How to find the x-intercepts of the function?</h3>

The function is given as

f(x) = cos(x)

And the interval is given as

[0, 2)

The above means that we determine the value of x when the function f(x) equals 0

So, we have

cos(x) = 0

The above equation can be solved graphically

See attachment for the graph of the function f(x) = cos(x)

In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2

Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2