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Illusion [34]
3 years ago
14

Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0

Mathematics
2 answers:
boyakko [2]3 years ago
5 0

Step-by-step explanation:

5 - 10x - 3 \times 2 = 0

multiply \: the \: numbers \\  \\ 5 - 10 x- 6 = 0

collect \: like \: terms \\  \\ 5  - 6 - 10x

- 1 - 10x = 0

- 10x = 1

divide \: both \: sides \: of \: the \: equation \: by \:  - 10

x =  -  \ \frac{1}{10}

alt \: form \:  =  \\  \\  =  0.1 \\   x =  - 10 {}^{ - 1}

Hope this helps. :)

horsena [70]3 years ago
4 0

Answer:

x = (-5 ± 2√10) / 3

Step-by-step explanation:

5 − 10x − 3x² = 0

Write in standard form:

-3x² − 10x + 5 = 0

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)

x = [ 10 ± √(100 + 60) ] / -6

x = (10 ± 4√10) / -6

x = (-5 ± 2√10) / 3

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Nathan usually drinks 32 ounces of water per day. He read that he should drink 56 ounces of water per
MariettaO [177]

Answer:

20

Step-by-step explanation: you have to find the amount of change then determine the percent of increase and round it to the nearest percent

       32 -56=24     then round to the nearest number you get 20

7 0
3 years ago
Help me pls math genius
Alecsey [184]

Answer:

x = -3

y = -1

Step-by-step explanation:

in the given question :-

=》x - 4y = 1

=》x = 4y + 1

now replacing the value of x as ( 4y + 1 ) in equation (2)

=》3x + 2y = -11

=》3 (4y + 1) + 2y = -11

=》12y + 3 + 2y = -11

=》14y = -11 - 3

=》y = -14 ÷ 14

=》y = -1

now, putting the value of y in equation (1)

=》x - 4y = 1

=》x - ( 4 × -1 ) = 1

=》x + 4 = 1

=》x = 1 - 4

=》x = -3

6 0
3 years ago
Read 2 more answers
What are the intercepts of y = 4x − 2?
maw [93]

Answer: y = −2

Step-by-step explanation:

  • 0 = −4x − 2
  • x = −1/2
  • To find the y-intercept, substitute in 0 for x and solve for y. Y = − 4 * 0 −2
  • Which then gives you y = - 2

* Hopefully this helps:) Mark me the brainliest:)

4 0
2 years ago
The thickness of a plastic film (in mils) on a substrate material is thought to be influenced by the temperature at which the co
statuscvo [17]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if rising the process temperature reduces the thickness of the plastic film that coats a substrate material To do so, two samples of substrates are coated at different temperatures:

Sample 1

X₁: Thickness of the plastic film after the substrate is coated at 125F

n₁=11

X[bar]₁= 101.28

S₁= 5.08

Sample 2

X₂: Thickness of the plastic film after the substrate is coated at 150F

n₂= 13

X[bar]₂= 101.70

S₂= 20.15

Does the data support this claim? Use the P-value approach and assume that the two population standard deviations are not equal.

Now if the higher the heat, the thinner the thickness of the plastic coating, then the average thickness of the coating done at 150F should be less than the average thickness of the coating done at 125F, symbolically: μ₂ < μ₁

Then the hypotheses are:

H₀: μ₂ ≥ μ₁

H₁: μ₂ < μ₁

α:0.05 (there is no α level stated so I've chosen the most common one)

Assuming that both variables have a normal distribution since the population standard deviations are not equal, the statistic to use is the Welch's t-test:

t= \frac{(X[bar]_2-X[bar]_1)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} } } ~~t_w

t_{H_0}= \frac{(101.7-101.28)-0}{\sqrt{\frac{(20.15)^2}{13} +\frac{(5.08)^2}{11} } } = 0.072

This test is one-tailed to the left, meaning that you'll reject the null hypothesis at small values of t. The p-value is also one-tailed and has the same direction as the test. To calculate it you have to first calculate the degrees of freedom of the Welch's t:

Df_w= \frac{(\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} )^2}{\frac{(\frac{S^2_1}{n_1})^2 }{n_1-1}+\frac{(\frac{S^2_2}{n_2} )^2}{n_2-1}  }

Df_w= \frac{(\frac{5.08^2}{11} +\frac{20.15^2}{13} )^2}{\frac{(\frac{5.08^2}{11})^2 }{10} +\frac{(\frac{20.15^2}{13} )^2}{12} } = 13.78

The distribution is a Student's t with 13 degrees of freedom, then you can calculate the p-value as:

P(t₁₃≤0.072)= 0.4718

Using the p-value approach, the decision rule is:

If the p-value ≤ α, the decision is to reject the null hypothesis.

If the p-value > α, the decision is to not reject the null hypothesis.

The p-value is greater than the significance level, so the decision is to nor reject the null hypothesis.

Using a significance level of 5%, there is no significant evidence to support the claim that the average thickness pf the plastic coat processed at 150F is less than the average thickness pf the plastic coat processed at 125F.

I hope you have a SUPER day!

4 0
3 years ago
Find the value of x to the nearest tenth.
vladimir1956 [14]

Answer:

The answer to your question is  x = 14.7  

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

                   x / sin 46 = 7 / sin 20

-Solve for x

                          x = 7 sin 46 / sin 20

-Simplification

                          x = 7 (0.719) / 0.342

                          x = 5.035/0.342

-Result

                         x = 14.7  

6 0
3 years ago
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