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3 years ago

Which graph matches the equation ?

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

Pretty sure it's the first one. It's the only one with the correct y-intercept and has a positive slope.

This is in fancy form, so you want to simplify it:

y = 3/4(x+4) - 6

Multiply it all,

y = 3/4x + 3/4(4) - 6

y = 3/4x + 3 - 6

y = 3/4x - 3

The first one matches.

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Solve 4x+2=12 for using the change of base formula logby=logy over logb

s2008m [1.1K]

Answer:

log₄ 10 = log₁₀ 10 / log₁₀ 4

Step-by-step explanation:

Taking the x to be a power then;

$4^x +2 =12$

$4^x = 12-2$

$4^x=10$

Introduce log on both sides

x log 4= log 10

x= log 10/log 4

log₄ 10 = log₁₀ 10 / log₁₀ 4

8 0

3 years ago

Read 2 more answers

Why are mathematical models important to the study of climate change?

Butoxors [25]

Its important to know math inn life helps you with lots of skills like science does

5 0

3 years ago

Which value is a discontinuity of x^2+7x+1/x^2+2x-15? x=-1 x=-2 x=-5 x=-4

dsp73

$\dfrac{x^2+7x+1}{x^2+2x-15}=\dfrac{x^2+7x+1}{(x+5)(x-3)}$

which is undefined when $x=-5$ or $x=3$ . The answer is then the third choice.

6 0

4 years ago

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se

yaroslaw [1]

2/5 * (n - 1) < 3/5 * (n + 1)
2/5 * n - 2/5 < 3/5 * n + 3/5
- 2/5 - 3/5 < 3/5 * n - 2/5 * n
- 5/5 < 1/5 * n
- 1 < 1/5 * n /*5
- 5 < n
n > - 5

n = x

The correct result would be B) <span>x > - 5.</span>

7 0

3 years ago

Read 2 more answers

A cell phone tower that is 150 ft tall sits on a mountain that

aliina [53]

Answer:

angle of elevation will be $2.14^o.$

Step-by-step explanation:

Given,

height of tower = 150 ft

height of tower = 1200 ft

So, total height of peak of tower = 1200 + 150

= 1350 ft

distance of user from cell tower = 5 miles

= 5 x 5280 feet

= 26,400 feet

Since the height of user from sea level = 400 ft

so, height of peak of tower with respect to user = 1350 - 400 ft

= 950 ft

If the angle of depression is assumed as $\theta$ , then we can write

$tan\theta\ =\ \dfrac{\textrm{height of peak of tower w.r.t user}}{\textrm{distance of user from tower}}$

$=>\ tan\theta\ =\ \dfrac{950}{26400}$

$=>\ tan\theta\ =\ 0.374$

$=>\ \theta\ =\ 2.14^o$

So, the angle of elevation will be $2.14^o.$

5 0

3 years ago