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4 years ago

Which of the following word problems can be solved using the equation 4(x + 8) = 40?

Mathematics

1 answer:

Black_prince [1.1K]4 years ago

3 0

Answer:

the answer is a because ots increased by 8 inches

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To increase an amount by 28%, multiply by

blondinia [14]

To increase a number x by 28%, you do the following:
f(x) = 1.28x

4 0

3 years ago

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What is the measure of RST shown in the diagram below

Vladimir79 [104]

Answer:

A. $m\angle RST=64^o$

Step-by-step explanation:

We can see from our given diagram that angle RST is formed by intersection of two tangents of our circle.

We will use Tangent-Tangent Angle theorem, which states that if an angle is formed by two intersecting tangents, then the measure of the angle is one-half the difference of the measures of the intercepted arcs (the major arc - the minor arc).

$m\angle RST=\frac{1}{2}(\text{Major arc- Minor arc})$

We can see that major arc is RT and minor arc is UV.

Upon substituting measures of our major arc and minor arc we will get,

$m\angle RST=\frac{1}{2}(153^o-25^o)$

$m\angle RST=\frac{1}{2}(128^o)$

$m\angle RST=64^o$

Therefore, measure of RST is 64 degrees and option A is the correct choice.

5 0

3 years ago

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Sally found that a solution of x = 2 was extraneous for her function. What would be a possible denominator in Sally's function?

kondor19780726 [428]

Answer:

x² - 4 would be the denominator in Sally's function ⇒ answer (C)

Step-by-step explanation:

* In any rational function the domain of it (values of x) is all the

real numbers except the numbers which make the

denominator = 0

* Ex: In x - 3/x - 2

∵ The denominator = x - 2

∵ The value of x which make the denominator = 0 is 2

∴ The domain is all real number except 2

* So If you want to know the denominator search for the

values which make the denominator equal to zero.

* In the problem sally found that a solution of x = 2 was

extraneous for the function

- That means the function not defined at x = 2

∵ x = 2⇒ subtract 2 from both sides

∴ x - 2 = 0

* Now look to the answer and find which one when you

equate it by 0 give you the answer x = 2

A) ∵ 4x + 8 = 0 ⇒ subtract 8 from both sides

∴ 4x = -8 ⇒ ÷ 4

∴ x = -2 ⇒ not the answer

B) ∵ 2x + 12 = 0 ⇒ subtract 12 from both sides

∴ 2x = -12 ⇒ ÷ 2

∴ x = -6 ⇒ not the answer

C) ∵ x² - 4 = 0 ⇒ add 4 to the both sides

∴ x² = 4 ⇒ take √ to both sides

∴ x = ± 2 ⇒ the answer

* That means x = 2 or x = -2

* x² - 4 would be the denominator in Sally's function

6 0

4 years ago

What is the value for y

Dahasolnce [82]

Answer:

y = -2/5x + 24

Step-by-step explanation:

(5y + 10) + 2x + 50 = 180

5y + 2x + 60 = 180

5y + 2x = 120

5y = -2x + 120

y = -2/5x + 24

7 0

3 years ago

H/ 1/2 = 6 h= ? PLEASE HELP ASAP! I REALLY NEED THIS!

ad-work [718]

Answer:

h = 3

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal.

So h / (1/2) is the same as h * 2 or 2h

2h = 6

Divide both sides by 2 to isolate the variable h.

2h/2 = 6/2

h = 6/2

h = 3

8 0

3 years ago

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