please help me find the answer to the following photo

Answer:

(-1,7)

Step-by-step explanation:

Equations:

x + y = 6

y + 3x = 4

Slope-Intercept Form:

y = -x + 6

y = -3x + 4

Graph:

Graph them yourself!

(On the graph they intersect at -1,7)

Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

Answer:

10/9

Step-by-step explanation:

Answer:

10/9

Step-by-step explanation:

The largest possible area for a rectangle with a base on the x-axis and both upper vertices on the curve y=5−x² , is equals to the 20√15/ 9 .

In optimizing the objective function f(x), solve for the critical points by putting the first derivative f′(x), equals to zero. Then the objective function is evaluated at the critical points to determine the it's minimum or maximum. We have, a rectangle with base as x-aixs and both upper vertices on the curve y = 5 − x², which is a parabola equation. Thus width of the rectangle is based from the equation of the parabola y= 5 - x² --(1)

Area of rectangle is expressed as A = xy , where x -->length of it and y-->width or vertices of curve. The length of the rectangle with base x- axis is equal to 2x. Therefore, the area is A = w× l

= 2x( 5 - x² )

A = 10x - 2x³ --(2)

If area is maximum, then dA/dx = 0

Differentiating the equation (2) with respect to x

dA/dx = 10 - 6x²

so, 10 - 6x² = 0

=> 6x² = 10

=> x² = 10/6

=> x² = 5/3

=> x = ±√5/3

but x represents the length so, it's value always be positive. Thus, x = √5/3. The area is equal to A = 10x - 2x³

= 10(√5/3) - 2(√5/3)³

=> A = 10√5/3 - 10/3(√5/3)

=> A = √5/3( 10 - 10/3) = 20√5/3√3

=> A = 20√15/ 9 ( using rationalzation )

Hence, the required area is 20√15/ 9 .

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:

$4515

Step-by-step explanation:

Given data

Principal=$2500

Rate= 3%

Time= 20years

The compound interest formula is given as

A=P(1+r)^t

substitute

A=2500(1+0.03)^20

A=2500(1.03)^20

A=2500*1.806

A=$4515

Hence the final Amount is $4515

Answer:

Step-by-step explanation:

-18 is a integer because it has negative sign

☽------------❀-------------☾

Hi there!

~

-18 is an integer number because of the " - " sign. I hope the picture will explain why -18 is an integer number!

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

2sqr3, the first option

Step-by-step explanation:

Answer:

if you're talking about slope intercept then

y= 8/5x + 11/5

Answer:

Intercept on y-axis is

\(b=\frac{11}{5}\)

Step-by-step explanation:

Equation of line in slope intercept form is given as

\(y=mx+b\) ------(1)

where m is slope and b is y-intercept

Re-arranging g 8x-5y=-11 yields

\(y=\frac{8}{5} x + \frac{11}{5}\)----------(2)

Comparing equation (1) and equation (2)

\(b=\frac{11}{5}\)

The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?

5 sticks / 2 bottles

25 sticks / x bottles

10 bottles

Answer:  10 bottles

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?

8 finished

4 finished / 1 left

8 finished / 2 left

10 total

Answer:  10 total problems

A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?

7 sugar / 3 flour

63 oz sugar / x oz flour

27 oz flour

Answer:  27 oz flour

Write an equation for each using the variables provided.

For each pound there are 16 ounces.

Write an equation to express the total number of ounces (Z) in (Y) pounds.

1 lb / 16 oz

Z = 16Y

Equation:  Z = 16Y

Every dollar is 4 quarters.

Write an equation to express the total number of quarters (Q) in dollars (D).

1 dollar = 4 q

Q = 4D

Equation:  Q = 4D

Word Problems. You must show your work and answer to get full credit.

Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?

You may create a tape diagram to help you.

(copy & paste)

( H - 28 ) / ( G - 16 ) = 2 / 5

H - 28 = 2

H = 30

G - 16 = 5

G = 21

Henry:  30

Grace:  21

Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?

3 clerks take 12 days to write 6 docs

1 clerk takes 4 days to write 2 docs

2 clerks take 8 days to write 4 docs

8 : 4

3/4 * ( 8 ) : ( 4 ) * 3/4

6 : 3

6 days

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

x = 9. 177

Step-by-step explanation:

Answer:

y⁸/x¹⁰

\( \\ \)

Step-by-step explanation:

\( \sf{\large{( \frac{ {x}^{ - 4}y }{ {x}^{ - 9} {y}^{5} } ) ^{2} }}\)

\( \large{ \sf{= \frac{ {x}^{ - 4 \times 2} {y}^{2} }{ {x}^{ - 9 \times 2} {y}^{5 \times 2} } }}\)

\( \large{ \sf{= \frac{ {x}^{ - 8} {y}^{2} }{ {x}^{ - 18} {y}^{10} } }}\)

\( \large{ \sf{ = {x}^{ - 8 - ( - 18)} {y}^{2 - 10} }}\)

\( \large{ \sf{ = {x}^{ - 8 + 18} {y}^{ - 8} }}\)

\( \large{ \sf{ = {x}^{10} {y}^{ - 8} }}\)

\( \large{ \sf{ = \frac{ {x}^{10} }{ {y}^{8} } }} \)

\( \large{ \sf{ = \frac{ {y}^{8} }{ {x}^{10} } }}\)

Answer:

Step-by-step explanation:

To convert the mixed angle measure 96° 29' 1" to decimal degrees, we can use the following formula:

decimal degrees = degrees + (minutes / 60) + (seconds / 3600)

Using this formula, we have:

decimal degrees = 96 + (29 / 60) + (1 / 3600)

decimal degrees = 96.4836111

Therefore, mHJ = 96.4836111 degrees (rounded to seven decimal places).

Answer:

1 3/4, 0

Step-by-step explanation:

You have to go 1 3/4 to the right and 0 up.

Answer:

Hey there!

0.28 times 0.86 is equal to 0.2408

Let me know if this helps :)

Answer:

83%

Step-by-step explanation:

I think this is the correct answer

Answer:

h= 5hx4     c= 6cx4

Step-by-step explanation:

The answer is D ...........

Answer:

the answer is Actually A believe me i did the test

Step-by-step explanation:

The solution to the equations are b = 15, b = 22, c = 21 and n = 28

From the question, we have the following equations that can be used in our computation:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

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Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

The value of \(b_{1}\) is 69/4h and value of \(b_{2}\) is 43/4h if the area of trapezoid is 14 square units.

Given that area is equal to 1-2(\(b_{1} -b_{2}\))h and area is 14 square units.

We know that area of trapezoid is equal to (a+b)h/2.

We have to put the given equation equal to 14 to get our first equation.

14=1-2(\(b_{1} -b_{2}\))h

14=1-2\(b_{1}\)h+2\(b_{2}\)h

2\(b_{1}\)h-2\(b_{2}\)h=-13------------1

Now put the value of area in the formula of area of trapezoid.

14=\((b_{1} +b_{2})h/2\)

\(b_{1}\)h+\(b_{2}h\)=28-----------------2

Multiply equation 2 by 2 and then subtract 2 from 1

\(2b_{1}h -2b_{2}h -2b_{1}h-2b_{2}h\)=-13-56

-4\(b_{2}h\)=-43

\(b_{2}\)=43/4h

Put the value of \(b_{2}\) in 2 to get the value of \(b_{1}\).

\(b_{1} h+43/4h*h=28\)

\(b_{1}\)=69/4h

Hence The value of \(b_{1}\) is 69/4h and value of \(b_{2}\) is 51/4h if the area of trapezoid is 14 square units.

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If g is an exponential function, it has the form:

We know two values of the function, and we will use them to find a and b.

We start by finding b, as we have:

Then, we use one of the points to find a:

We can then write g(x) as:

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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Answer:

6

Step-by-step explanation:

Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 6.

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

The 95% confidence interval for the true proportion of the given population that smokes is (0.1630, 0.2204).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

Sample of 725, 139 smoke:

This means that \(n = 725, \pi = \frac{139}{725} = 0.1917\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1917 - 1.96\sqrt{\frac{0.1917*0.8083}{725}} = 0.1630\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1917 + 1.96\sqrt{\frac{0.1917*0.8083}{725}} = 0.2204\)

The 95% confidence interval for the true proportion of the given population that smokes is (0.1630, 0.2204).

Answer:

a. y = 12400x + 26800

b. $113600

c. end of the 5th year

Step-by-step explanation:

a.

We are given 2 points, (1, 39200) and (4, 76400).

We are looking for the equation of the line that passes through those two points.

slope = (76400 - 39200)/(4 - 1) = 12400

y = mx + b

y = 12400x + b

We have when x = 1 y = 39200.

39200 = 12400(1) + b

b = 26800

The equation is

y = 12400x + 26800

b.

y = 12400x + 26800

x = 7

y = 12400(7) + 26800

y = 113600

c.

y = 12400x + 26800

88800 = 12400x + 26800

62000 = 12400x

x = 5

Answer:

Step-by-step explanation:

Firstly let's just simplify the expression to: \(log_5(x^3)=1\)

From here the domain needs to be positive and not zero, since the cubic is only positive for positive values. So your domain is correct

Now for the solution part, we can rewrite the log into exponential form as such: \(5^1=x^3\)

and from here we can take the cube root to get: \(x=\sqrt[3]{5}\)

so both of your answers look correct, and I would recommend asking your teacher about this as it may be a mistake.

Answer:

The answer is 112

Step-by-step explanation:

Area= base + base divided by 2 times height.

So 12+16 divided by 2 times 8.