1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Phoenix [80]
3 years ago
10

Use a ratio box to solve this problem. The road was steep.

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

540 feet

Step-by-step explanation:

\frac{36}{100} = \frac{x}{1500}  Cross multipy

100x = 54000

54000/100 = 540

x = 540

You might be interested in
G(x)=2x -3<br> What is the value of<br> G(2) - g(3)
Stells [14]

Answer:

-2

Step-by-step explanation:

You plug the values in. 2(2)-3=1, and 2(3)-3=3

1-3=-2

Hope I helped!

8 0
2 years ago
[Will mark as brainliest]
Aleks04 [339]

The answer is: f^{-1} = 4x^2-3,\quad\text{for  } x \leq 0

The inverse of a function f(x) is another function, f^{-1}(x), with the following property:

f(f^{-1}(x)) = f^{-1}(f(x)) = x

In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.

Think for example to a function that doubles the input, f(x)=2x, and one that halves it: f(x)= \frac{x}{2}. Their composition is clearly the identity function f(x)=x, since you consider "twice the half of something", or "half the double of something".

In general, to invert a function y=f(x), you have to solve the expression for x, writing an expression like x = g(y). If you manage to do so, then g is the inverse of f.

In your case, you have

f(x) = y = -\frac{1}{2}\sqrt{x+3}

Multiply both sides by -2 to get

-2y = \sqrt{x+3}

Square both sides to get

4y^2 = x+3

Finally, subtract 3 from both sides to get

x = 4y^2 - 3

Since the name of the variables doesn't really have a meaning, you can say that the inverse function is

f^{-1}(x) = 4x^2 - 3

As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain b \in B such that there exists a \in A : f(a)=b. So, we need the range of f(x).

We know that the range of g(x)=\sqrt{x} is [0,\infty). When you transform it to g(x)=\sqrt{x+3} you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times -\frac{1}{2} you affect both extrema of the range, turning it into (-\infty,0], which you can simply write as x \leq 0

4 0
2 years ago
In triangle ABC, m∠ABC = (4x – 12)° and
Anestetic [448]

Answer:

A triangle is equilateral if all three angles are same. but here two angles are 64° but third angle is 52°. so, Yin is incorrect.

Step-by-step explanation:

x = 19,

Putting value of x to find m∠ABC and m∠ACB

m∠ABC = (4x – 12)°

m∠ABC = (4(19) – 12)°

m∠ABC = (76 – 12)°

m∠ABC = 64°

m∠ACB = (2(19) + 26)°

m∠ACB = (38 + 26)°

m∠ACB = 64°

now we know sum of angles of triangle is 180°. We can find the measure of third angle.

180 = 64+64 +x

x= 180 - 64 - 64

x = 52°

A triangle is equilateral if all three angles are same. but here two angles are 64° but third angle is 52°. so, Yin is incorrect.

5 0
3 years ago
Read 2 more answers
When using the quadratic formula, can you predict when the solutions will be real versus imaginary? Explain.
jok3333 [9.3K]
If the part inside the square root is negative, there are imaginary roots. Otherwise they are real.
4 0
3 years ago
Use conversions to solve the problem. Devante buys 1 1/2
melomori [17]

Answer:

45 oz

Step-by-step explanation:

1.5 lb = 24 oz

3/4 = 12 oz

24+12+9 = 45 oz

6 0
2 years ago
Other questions:
  • Tess has 42 words of an essay typed and is typing about 1.3 words per second. Margo 122 words of an essay typed and is erasing a
    10·1 answer
  • (01.02 LC)
    7·1 answer
  • What is (-2x)+5+3x-4x+(-1)+(-x) simplified
    10·1 answer
  • How many times greater is 9 x 105 than 8 x 102?
    15·1 answer
  • Corresponding angles are _______________.
    13·1 answer
  • There were 6 dogs at the dog park last Saturday, and 2 of them were German shepherds. Considering this data, how many of the nex
    5·1 answer
  • Write an expression that represents the area of
    5·1 answer
  • Consider the sequence whose first five terms are shown below.
    5·1 answer
  • Brainliest if it is right
    8·2 answers
  • What is 10-12d +6c in standard form
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!