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3 years ago

What value of x makes f(x) = -2 if f(x) = 3.4x - 7.1

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Option C

For x = 1.5 we get f(x) = -2

<em><u>Solution:</u></em>

Given function is:

$f(x) = 3.4x - 7.1$

We have to find the value of "x" so that f(x) = -2

Substitute f(x) = -2 in given function

$-2 = 3.4x - 7.1$

Solve for "x" by moving the constants to one side and variables to other side

$3.4x = -2 + 7.1\\\\3.4x = 5.1\\\\ \text{Divide both the sides of equation by 3.4 }\\\\x = \frac{5.1}{3.4}\\\\x = 1.5$

For x = 1.5 we get f(x) = -2

We can verify by substituting x = 1.5 in given function

$f(1.5) = 3.4(1.5) - 7.1\\\\f(1.5) =5.1-7.1\\\\f(1.5) = -2$

Thus for x = 1.5 we get f(x) = -2

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In a quiz-based program, there are three teams A, B and C. There is a total of five rounds in a game; 20 marks are given for eac

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From the given scenarios, the positions of winning of each team is; Team C came first, Team A came second and Team B came third

<h3>How to find probability of winning?</h3>

From the question, we can derive the following;

Marks gained by team A = 3 × 20 = 60 marks

Marks deducted = 2 × 10 = 20 marks

Hence;

Total marks for Team A = 60 - 20 = 40 marks

Marks gained by team B = 2 × 20 = 40 marks

Marks deducted = 2 × 10 = 20 marks

Hence, total marks of team B = 40 - 20 = 20 marks

Marks gained by team C = 3 × 20 = 60 marks

Marks deducted = 1 × 10 = 10 marks

Hence, total marks of team C = 60 - 10 = 50 marks

Thus, we can conclude that;

Team C came first, Team A came second and Team B came third

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1 year ago

What is 7/12 in simplest form?

ikadub [295]

If it stays as fraction the answer would be 7/14

8 0

2 years ago

Read 2 more answers

Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

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5 0

2 years ago

solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41

Serjik [45]

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

19(2) + 3y = 41 so

38 + 3y = 41 and

3y = 3. Therefore,

y = 1

The solution set then is (2, 1)

6 0

2 years ago

Read 2 more answers

Help with this problem please!

exis [7]

1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24

2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1

3. 180 = 101 = 79° = ∠2

4. 180 - 79 = 101° = ∠3

5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4

6. 180 - 101 = 79° = ∠5

7. 180 - 101 = 79° = ∠6

8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7

9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8

10. Angles 2 and 3 are supplementary, which means they add up to 180°.

I hope this helps! :)

4 0

3 years ago