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GarryVolchara [31]
2 years ago
8

Solve the equation below

Mathematics
2 answers:
Elina [12.6K]2 years ago
7 0

Answer:

(-5,3)

Step-by-step explanation:

-40+8y=-16

8y=24

y=3

Anastasy [175]2 years ago
6 0

Answer:

(-5, -7)

Step-by-step explanation:

insert -5 where you see the variable 'x':

-8(-5) + 8y = -16

40 + 8y = -16

8y = -56

y = -7

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Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
Yanka [14]

Answer:

The sum is t.

Step-by-step explanation:

Consider the provided information.

The given expression are - 10t and t - 10t

We need to find the sum of the opposite of -10 t and t - 10t.

The opposite of -10 t is 10 t.

10t+(t-10t)

Remove the parenthesis.

10t+t-10t

Simplify the number

10t-10t+t

Use Additive inverse.

t

Hence, the sum is t.

4 0
2 years ago
What is the complete factorization of the polynomial below
DerKrebs [107]

Answer:

a. \ (x-2)(x+i)(x-i)

Step-by-step explanation:

First of all let's notice that (x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C} while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of (x-\alpha) it means tha \alpha is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)

p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0

p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20

At this point 2 is a zero, and our final factoring is a(x-2)(x+i)(x-i)

7 0
2 years ago
What must be true and what letter is the answer?
Zanzabum

Answer:

4th one is correct for x/y

5 0
3 years ago
you burn 200 calories by walking for 60 minutes how many calories will you burn if you walk 12 minutes?​
shusha [124]

Answer:

16.666

Step-by-step explanation:

divid 200 by 12

6 0
3 years ago
A restaurant chain has two locations in a medium-sized town and, believing that it has oversaturated the market for its food, is
scoray [572]

Answer:

Yes, since the test statistic value is greater than the critical value.

Step-by-step explanation:

Data given and notation

\bar X_{1}=360000 represent the mean for the downtown restaurant

\bar X_{2}=340000 represent the mean for the freeway restaurant

s_{1}=50000 represent the sample standard deviation for downtown

s_{2}=40000 represent the sample standard deviation for the freeway

n_{1}=36 sample size for the downtown restaurant

n_{2}=36 sample size for the freeway restaurant

t would represent the statistic (variable of interest)

\alpha=0.05 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the true mean of revenue for downtown is higher than for freeway restaurant, the system of hypothesis would be:

Null hypothesis:\mu_{1}\leq \mu_{2}

Alternative hypothesis:\mu_{1} > \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Determine the critical value.

Based on the significance level\alpha=0.05 and \alpha/2=0.025 we can find the critical values from the t distribution dith degrees of freedom df=36+36-2=55+88-2=70, we are looking for values that accumulates 0.025 of the area on the right tail on the t distribution.

For this case the value is t_{1-\alpha/2}=1.66

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{360000-340000}{\sqrt{\frac{50000^2}{36}+\frac{40000^2}{36}}}}=1.874

What is the p-value for this hypothesis test?

Since is a right tailed test the p value would be:

p_v =P(t_{70}>1.874)=0.033

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

The best option would be:

Yes, since the test statistic value is greater than the critical value.

5 0
2 years ago
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