Solve using substitution
y= 7x + 6
4x - 3y =16

Answers

Answer 1

Answer:

{y,x} = {-8,-2}

Step-by-step explanation:

Hope this helps.


Related Questions

8 = 3y - 12 - 8y What is the value of y?

Answers

Answer:

y = -4

Step-by-step explanation:

8 = 3y - 12 - 8y

Combine like terms

8 = -5y -12

Add 12 to each side

8+12 - 5y-12+12

20 = -5y

Divide each side by -5

20/-5 = -5y/-5

-4 =y

hey there!

3y-8y = 12+8

=> -5y=20

=> -y = 20/5

=>[tex]\fbox{y=-4}[/tex]

Hope this helps you :)

Solve for x: 12x= 36

Please show all the steps that were given above that you must take to solve for x.

Answers

Step-by-step explanation:

x=36/12

x=2

I hope it's helpful for you

12x = 36

x = 36÷12

x = 3

Hope it helps......

Find the critical points of the function f(x)=45x^4/5+x^9/5​

Answers

Answer:

Step-by-step explanation:

[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]

Critical Point Definition:

Critical points are points where the function is defined and its derivative is zero or undefined.

Find where [tex]f'(x)[/tex] is equal to zero or undefined

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

Identify critical points not in [tex]f(x)[/tex] domain

Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]

All critical points are in domain

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

In circle K with m/JKL = 30 and JK = 15 units, find the length of arc JL.
Round to the nearest hundredth.

Answers

Answer:

7.85

Step-by-step explanation:

Arc Length Formula

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})[/tex],
where r is radius.

Given information:

m<JKL = 30°

JK = r = 15 units

Substitute in equation and solve.

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})\\\text{arc length} = 2 \pi (15) (\frac{30^\circ}{360^\circ})\\\text{arc length} = \frac{5}{2} \pi \approx 7.85398\\\text{arc length} = 7.85 \text{ units}[/tex]

Solve Angle B please

Answers

Answer:

x = 9

Angle B = 40°

Step-by-step explanation:

Angle A = Angle B

[tex]5x-5=3x+13[/tex]

[tex]5x-3x=13+5[/tex]

[tex]2x=18[/tex]

[tex]x=18/2=9[/tex]

Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°

Hope this helps

Y= x^2-4x+2 what is the vertex

Answers

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -4}{2(1)}~~~~ ,~~~~ 2-\cfrac{ (-4)^2}{4(1)}\right)\implies (2~~,~~2-4)\implies (2~~,~~-2)[/tex]

Mr. Benito just purchased 24 paint sets and a few sketch books for his art class. The total bill wūs $241. The paint sets cost a total of $105 and the sketch books $8 each. How many sketch books did he buy?​

Answers

Answer:

He bought 32 sketchbooks

Step-by-step explanation:

E equals 32

Answer:

17

Step-by-step explanation:

We know:

The total bill was $241

The paint sets cost $105

Each sketchbook is $8

First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.

241-105=136

Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.

136/8=17

Therefore, Mr. Benito bought 17 sketchbooks.

Volume of prisims ssssssssssss

Answers

Answer:

x = 5

Step-by-step explanation:

Volume of Rectangular Prism: Volume = Length*Width*Height

300 = x * x * 12

300 = x^2 * 12

25 = x^2

x = 5

Find the solution(s) to the system of equations represented in the graph. (2,0) (0,-2)

Answers

the solution to a system of equation is the point where they intersect. This occurs at (0, -2) and (2, 0).

The edge of the square is 33 cm.
Calculate the square diagonally!
Take out the multiplier before the root sign!

Answers

Answer:

46.6

Step-by-step explanation:

[tex] {x}^{2} = {33}^{2} + {33}^{2} \\ x = \sqrt{2178} \\ x = 46.6 \: cm[/tex]

can someone help me with this q?

Answers

Answer:

rounded = 170 in^3 and 2nd question =2.772 in^3

Step-by-step explanation:

h: 12 1/8 = 12.125

w: 1 3/4 = 1.75

l: 8

----------------------------------

h*w*l = 169.75 in^3

rounded = 170 in^3

oh there's another.. wait

same with this question

.----------------------------------

h*w*l

10.5 * 12 * 22 = 2.772 in^3

What is the approximate area of the following circle?

Answers

Answer:

[tex]38.47 {m}^{2} [/tex]

Step-by-step explanation:

The formula to find the area of a circle is

[tex] a= \pi {r}^{2} [/tex]

We know that

[tex]\pi = 3.14 \: \: \: \: \: \: r = 3.5[/tex]

Therefore the area is

[tex] a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}[/tex]

Answer: 38.47 m^2

work is shown in picture :)


How many solutions over the complex number system does this
polynomial have?
3x6x³4x² + 3x+52=0

Answers

Answer:

For this case we have the following polynomial.

We note that the polynomial graph cuts only the vertical axis at one point.

The graph has no other cut points on the x axis

Therefore, the polynomial has:

6 complex solutions

0 real solution

Step-by-step explanation:

In one particular suburb, there are 13 families that own a terrier. If there are a total of 20 families that own a dog in general, then what percentage of dog owners have a terrier?


153% have terriers

65% have terriers

7% have terriers

None of these answers are correct.

33% have terriers

Answers

Answer:

from what i got it is 65% have terriers

Step-by-step explanation:

13 / 20 = 0.65 meaning there is 65%

Hope This Helped

A small college with 1,200 total students has a student government of 40 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than 1 of these 4 positions.
The permutation formula n Pr can be used to find the number of unique ways the student government can arrange its members into these positions,
What are the appropriate values of n and r?

Answers

Answer:

20 New professors

Step-by-step explanation:The current ratio is 1200%2F80 = 15.

The new ratio/proportion should be %281500%29%2Fx = 15.

From here, find x = 1500%2F15 = 100 professors.

They must hire 100-80 = 20 new professors.

Answer: N=40

r=4

Step-by-step explanation:

We use the notation

P

nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select

rr objects without replacement from a set of

nn distinct objects.

In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?

Hint #22 / 3

The student government is electing

4

44 of its

40

4040 members to fill the positions of president, vice president, secretary, and treasurer. So

nn should be

40

4040 and

rr should be

4

44.

Hint #33 / 3

These are the appropriate values of

nn and

rr:

=

40

=

4

n

r

 

=40

=4

Solve for x, please show work!

Answers

Answer:

  x = 3°

Step-by-step explanation:

The external angle where secants/tangents meet is half the difference of the intercepted arcs.

__

Here, that means ...

  18x = (1/2)(194° -86°)

  18x = 1/2(108°) = 54° . . . . . simplify

  x = 3° . . . . . . divide by 18

Question 1 of 10
Which of the following statements regarding the expansion of (x + y)" are
correct?
A. The coefficients of X" and y both equal 1.
B. For any term xyl in the expansion, a + b = n
c. For any term xay in the expansion, a - b = n.
D. The coefficients of yn - 1 and yn – 1 both equal 1.
SUBMIT

Answers

The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.

How to expand?

It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.

Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.

Learn more about expansion on:

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What is the greater common factor of 24 and 32

Answers

Answer:

8

Step-by-step explanation:

To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.

Answer:

8

(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)

https://www.flocabulary.com/unit/gcf-lcm/

what fraction of one day is 36 mins​

Answers

Answer:

1 day = 1440min

so 36min of a day = 36/1440 = 1/40

What’s the length of QR?

Answers

Answer:

QR = 5.9

Step-by-step explanation:

QR = √(RP^2 - QP^2)

QR = √((7.6)^2 - (4.8)^2) = √(57.76 - 23.04) = √34.72 ≈ 5.9

As a single logarithm, 2log2 6- log29+ 1/3log2 27 = log2 12.

Answers

Answer:

true

Step-by-step explanation:

2log2 6- log2 9+ 1/3log2 27 =

= log2 6² - log2 9 + log2 27^(1/3)

= log2 36 - log2 9 + log2 3

= log2 [(36 × 3)/9]

= log2 12

The statement is true.

x + 14 = 28

Solve for ‘x’.

Answers

Answer: x = 14

Step-by-Step Explanation:

=> x + 14 = 28
=> x = 28 - 14 = 14

Therefore, x = 14
Answer :

[tex] \Large{\boxed{\sf x = 14}} [/tex]

[tex] \\ [/tex]

Explanation :

Given equation:

[tex] \sf x + 14 = 28 [/tex]

[tex] \\ [/tex]

Subtract 14 from both sides :

[tex] \sf x + 14 - 14 = 28 - 14 \\ \\ \\ \boxed{\boxed{\sf x = 14}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about equations here:

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whats the distance between the points (2, 7) and (2, 15)

Answers

Answer:

The distance between the points (2, 7) and (2, 15) is 8.

Step-by-step explanation:

What is the Distance between Two Points?

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

How to Solve:

Formula:[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Putting Values:

[tex]=\sqrt{(2-2)^2+(15-7)^2}[/tex]

[tex]=\sqrt{(0)^2+(8)^2}[/tex]

[tex]=\sqrt{0+64}[/tex]

[tex]=\sqrt{64}[/tex]

[tex]=8[/tex]

(d) develop a questionnaire for the based on the research under the study (5 marks) QUESTION TWO (10 MARKS) A marketing company which specializes in the sale of mobile phones has engaged you to investigate into what influences customers in the purchase of its wide range of phones. In your analysis of your administered questionnaires, you performed a regression analysis of certain features and benefits of the phones on customer purchase. Use the summary of the regression output in table 1 to answer the following questions Table I Models Unstandardized Coefficients Standardized Coefficients Sig (Significant) B Standard error Beta (Constant) 1.06 727 0.000 Shape 0.124 0.091 495 Colour 0.217 319 0.003 Sine 0.323 0.069 018 0.020 Name -0.429 0.012 4.023 0.102 Dependent Variable: Customer Purchase Required a. At 95% confidence level, interpret your data with respect to the objectives of the study (3 marks) b. From the analyzed data, what recommendation(s) will you make to the marketing company? (3 marks) c. What would be your answer if the analysis was performed at 99% confidence level (3 marks) dWhich variable makes the greatest impact or influence on customer purchase​

Answers

Answer:

wait who you again have we met before wait what

Step-by-step explanation:

I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys

What is the independent variable in d= 43t ?

Answers

Answer:

t (based on the information you have given)

Step-by-step explanation:

d is dependent on the equation and 43 will probably change

Answer:

43

Step-by-step explanation:

In the expression d = 43t, two variables are visible. One represents constants and the other represents the dependent variable. X is often used to represent the independent variable which is the one that is always manipulated ( I CHANGE ). The 43 represents the variable that is always changing and being manipulated. 43 represents X as it is the representing the manipulated variable.

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 5859 MB. How many downloads of the standard version were there?

Answers

The number of the standard versions downloaded will be 2790 standard versions.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

A Web music store offers two versions of a popular song.

The size of the standard version is 2.1 megabytes (MB).

The size of the high-quality version is 4.9 MB.

Yesterday, the high-quality version was downloaded four times as often as the standard version.

The total size downloaded for the two versions was 5859 MB.

Then the number of the standard versions were downloaded will be

→ 5859 / 2.1

→ 2790 standard versions

More about the division link is given below.

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Find AC.

brainly is forcing me to make this longer but its just that

Answers

Answer:

24.49 units

Step-by-step explanation:

It si NOT a right triangle, so you'll have to use law of sines

angle C = 180 - 45-75 = 60 degrees

30 / sin60 =  AC / sin 45

AC = 30 * sin 45 / sin 60 = 24.49 units

Based on a sample of 55 people, the sample mean GPA was 3.33 with a standard deviation of 0.08

The test statistic is:
(to 2 decimals)

The p-value is: (to 2 decimals)

Answers

Using the t-distribution, it is found that the desired measures are given as follows:

The test statistic is t = 2.78.The p-value is of 0.01.

What are the hypotheses tested?

At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:

[tex]H_0: \mu = 3.3[/tex]

At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:

[tex]H_1: \mu \neq 3.3[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The values of the parameters are given as follows:

[tex]\overline{x} = 3.33, \mu = 3.3, s = 0.08, n = 55[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.33 - 3.3}{\frac{0.08}{\sqrt{55}}}[/tex]

t = 2.78.

We are testing if the mean is different of a value, hence we have a two-tailed test. Using a t-distribution calculator, with 55 - 1 = 54 df and t = 2.78, the p-value is of 0.01.

More can be learned about the t-distribution at https://brainly.com/question/16162795

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Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.



An angler casts a fishing line into a body of water and its distance is recorded in centimeters.



, 1 of 2.
Select Choice
; , 2 of 2.
Select Choice

Answers

Based on the fact that the distance of the fishing line is the sample space being classified, we can say that it is Infinite and Continuous.

Is Distance a continuous variable?

Distance is said to be a continuous variable because it can be described as an unlimited value between the objects being measured.

As a result, the distance of the fishing line in this case must be continuous which means that it is infinite by nature.

Find out more on continuous variables at https://brainly.com/question/15007385.

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An initial population of 415 quail increases at an annual rate of 32%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?

Answers

Answer:

Below in bold.

Step-by-step explanation:

The population P will increase by a factor of 1.32 each year.

The function is

P = 415(1.32)^t  where t is the time in years.

After 5 years:

P = 415(1.32)^5  = 1663.

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