All categories

3 years ago

Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

You might be interested in

Write 337,060 in expanded form using exponents

Agata [3.3K]

1. expand using place value.

337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0

Next, we will use exponents:

300,000 = 3 * 10^5

30,000 = 3 * 10^4

7,000 = 7 * 10^3

000 = 0 * 10^2

60 = 6 * 10

0 = 0 * 10^0

then after combing these exponents, we can write the number as:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0

Finally, removing the meaningless zeroes, we would end up with:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10

3 0

3 years ago

If a line has slope a, what is the slope of its reflection across the line y=x?

aleksandrvk [35]

Check the picture below.

notice the reflected gray line on the red one over the y=x line, the slope of either line across the y=x line is simply the other's upside-down.

$\stackrel{\textit{slope of line "a"}}{a\implies \cfrac{a}{1}}\hspace{5em}\stackrel{\textit{slope of its reflection}}{\cfrac{1}{a}}$

3 0

2 years ago

19% and 19-100 true or false show work

Cerrena [4.2K]

True because it is 19 out of 100. If it were 19% and 19-50 that would be false because the answer to that one would be 9.5. So the answer is true.

6 0

3 years ago

Read 2 more answers

If alvin sold 60% of his baseball cards, gave away 30% of those that were left, and still had 40 baseball cards in his possessio

kipiarov [429]

Answer:

The number of baseball card to begin with is 143

Step-by-step explanation:

Let The number of baseball cards = x

The number of sold baseball card = 60% of x

= 0.6 x

The number of left baseball card = x - 0.6 x = 0.4 x

The number of card gave away = 30 % of left cards

= 0.3 × 0.4 x = 0.12 x

The number of card left in his possession = 40

So, 0.6 x + 0.12 x + 40 = x

Or, 40 = x - 0.6 x - 0.12 x

Or, 40 = 0.28 x

∴ x = $\frac{40}{0.28}$ = 142.85 ≈ 143

Hence The number of baseball card to begin with is 143 Answer

3 0

4 years ago

A clothing designer had 173.4 meters of fabric to make identical sweaters, of all the same size. If each sweater used 3 meters o

s344n2d4d5 [400]

57 sweaters can be made from 173.4 meters of fabric

Step-by-step explanation:

Given,

Total fabric available = 173.4 meters

Fabric used for one sweater = 3 meters

Let,

x be the number of sweaters.

Fabric used for one sweater * Number of sweaters ≤ Total fabric available

$3x\leq 173.4$

Dividing both sides by 3

$\frac{3x}{3}\leq \frac{173.4}{3}\\x\leq 57.8$

57 sweaters can be made from 173.4 meters of fabric

Keywords: inequality, division

Learn more about inequalities at:

#LearnwithBrainly

8 0

3 years ago