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2 years ago

Given h(x)=3x+4, solve for x when h(x)=1

Mathematics

2 answers:

Dmitrij [34]2 years ago

6 0

Step-by-step explanation:

h(x) = 3x + 4

h(1) = 3(1) + 4

h(1) = 3 + 4

h(1) = 7 ans.

aivan3 [116]2 years ago

3 0

Answer:

Step-by-step explanation:

Given,

h ( x ) = 1

To find : -

h ( x ) = 3x + 4

h ( 1 ) = 3 ( 1 ) + 4

= 3 + 4

h ( 1 ) = 7

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9.50 One way to evaluate the effectiveness of a teaching assistant is to examine the scores achieved by his or her students on a

EleoNora [17]

Answer:

Step-by-step explanation:

Given that a professor sets a standard examination at the end of each semester for all sections of a course. The variance of the scores on this test is typically very close to 300.

$H_0: s^2 = 300\\H_a: s^2 \neq 300$

(Two tailed test for variance )

Sample variance =480

We can use chi square test for testing of hypothesis

Test statistic = $\frac{(n-1)s^2}{\sigma^2} \\=62.4$

p value = 0.0100

Since p <0.05 our significance level, we reject H0.

The sample variance cannot be claimed as equal to 300.

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3 years ago

Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an

Mrrafil [7]

Answer:

10.14 years

Step-by-step explanation:

The following equation describes the percentage of all eligible voters that are registered to vote as a function of time:

V=100-30e^{-0.04t}

The time 't' for which V(t) = 80 is the amount of years required for the percentage of registered voters to reach 80%:

80=100-30e^{-0.04t}\\\frac{20}{30}= e^{-0.04t}\\ln(\frac{2}{3})=-0.04t*ln(e)\\ t=10.14\ years

It will take 10.14 years until 80% of all eligible voters in your county are registered to vote

8 0

2 years ago

Read 2 more answers

Let x^2+15x=49

Slav-nsk [51]

x^2 + 15x + 56.25 = 105.25

"Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
x^2 + 15x + 56.25 = 49 + 56.25
Which is
x^2 + 15x + 56.25 = 105.25
Which is the answer desired.

Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
(x+7.5)^2 = 105.25

Now take the square root of each side
(x+7.5) = sqrt(105.25)

And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
and
x+7.5 = -10.25914226

And let's find X.
x+7.5 = 10.25914226
x = 2.759142264

x+7.5 = -10.25914226
x = -17.75914226

So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226

3 0

3 years ago

Read 2 more answers

Brainlist for the right answer no link or bot 60 points only smart people

Arisa [49]

Answer:

1. -3

2. 0

3. .363636

4. Non-recurring Decimal, Recurring Decimal, Decimal Fraction

5. Going in order- irrational, rational, rational, irrational, integer, integer, irrational, integer, irrational, rational, rational.

6. 8

7. 12

8. 20

9. -5

10. False, only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.

11. No, only decimals that never end and never repeat are irrational. a decimal is rational if it can be written as a fraction or ratio of two numbers. for example: .3434343434343434

12. Yes, 9.5 can be written as a simple fraction like this: 9.5 = 192

13. 10,920

14. 40,000

15. 0.0702

16. .003

17. 18000000000 meters

18. 1- 2,000,000,000

18. 2- 3,800,000,000

19. 36, 49. or- So, the square root of 40 will be greater than 6 but less than 7.

20. You can just add the coefficients together. If the exponents are not equal, then you must make them equal by moving one of the decimals.

Step-by-step explanation:

Your welcome <3

4 0

2 years ago

Find the solution set of the inequality 4x-1< 11. PLEASE HEP I NEED THIS ASAP!!!!

maxonik [38]

Answer: x > 3

Step-by-step explanation:

In order to find x, we must isolate it first.

Add one to both sides. It's now 4x < 12.

Now we divide both sides by 4, remember that every time we divide or multiply we must flip the inequality symbol.

The final answer is x > 3

6 0

2 years ago