What is the solution to the system of linear equations?
5
-4
f(x)
(3.0)
(-3.3)
(02)
(3, 1)
1
5
2.
3
4
5
х
432
g(x)
2-
-3

Answer:

x=5

Step-by-step explanation:

2(x-4)+3x=17

You distribute

2x-8+3x=17

Simplify

5x-8=17

add 8 to both sides

5x=25

x=5

Boom. :0

Answer:

x=1

Step-by-step explanation:

1. add 7/3x and 1/3x

2. subtract 5/3x because its the lowest number with a variable and you'll get 3/3x = 1

3. divide 3/3 from both sides (3/3) equals 1, so its 1/1 which is 1

4. x=1

Answer:

One of the most important differences between the sine and cosine functions is that sine is an odd function (i.e. while cosine is an even function (i.e. . Sine and cosine are periodic functions; that is, the above is repeated for preceding and following intervals with length .

Step-by-step explanation:

Hope that helps

Answer:

Strong positive correlation, 0.9663

Step-by-step explanation:

The value of the correlation coefficient will be; -0.2985, and the relation between x and y is a weak negative.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

The value of the correlation coefficient can be found as;

r = -0.2984713607

After rounding off we get;

r = -0.2985

As the value of r is not close to the -1 therefore, the relation between x and y is weak negative.

Hence, the value of the correlation coefficient will be; -0.2985, and the relation between x and y is a weak negative.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ5

Answer:

F

Step-by-step explanation:

The square root of 10 is 3.16. Point F is between 3.1 and 3.2.

The point on the number line best represents √10 is point F.

The following information should be considered:

Learn more:

https://brainly.com/question/4626564?referrer=searchResults

Answer:

O 25,600r ft

Step-by-step explanation:

Volume =πr2h

=  π×82×100

=  6400π

=  20106.192982975 feet ^3

Answer:

6,400π ft3

Step-by-step explanation:

took test and got it right

Answer: $80536.9

Step-by-step explanation:

From the question, at the end of a year, the total debt of a country stood at about $24 trillion and the country has a population of 298 million.

To calculate the amount in dollars per person, we divide the gross debt by the population. This will be:

= 24 trillion ÷ 298 million

= 24,000,000,000,000 ÷ 298 000 000

= 80536.9

The amount in dollar per person will be $80536.9

you know that (0,3) is a point and (1,1) is another point.

so now you have to replace them in the follow equations.

i did that and the right answer is the first equation => y=-2x+3

Answer:

a

Step-by-step explanation:

i did the question

Answer:

Yes

Step-by-step explanation:

In order to form a triangle sum of the lengths of any two sides must always be greater than the length of the third side.

Here,

6 + 5 = 11 > 8

5 + 8 = 13 > 6

8 + 6 = 14 > 5

Given side lengths satisfy above condition. Hence the given segment can form a triangle.

Answer:

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers.

Which algebraic inequality represents this situation?

(correct) One-fourth x + 5 and one-half greater-than-or-equal-to 20

One-fourth x + 5 and one-half less-than-or-equal-to 20

One-fourth x + 5 and one-half greater-than 20

One-fourth x minus 5 and one-half greater-than 20

Step-by-step explanation:

The first one is correct.

Answer:

it's A :P

One-fourth x + 5 and one-half greater-than-or-equal-to 20

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

Answer:

124(cm)^2

Step-by-step explanation:

total surface area of a cuboid=[tex]2(LB+BH+HL)[/tex]

length=7cm

Breadth=5cm

Height=4cm

2{(2*7)+(5*4)+(4*7)}

2{14+20+28}

2*62

124(cm)^2

Answer:

(IQR) interquartile range = 5

Step-by-step explanation:

Lower quartile: 48

Upper quartile: 53

Median: 52

Lowest value: 46

Highest value: 55

(IQR) interquartile range: Upper quartile - Lower quartile = final answer

(IQR) interquartile range: 53 - 48 = 5

Answer: C, E, F

Step-by-step explanation:

Answer:

C, E, and F

Step-by-step explanation:

Substitute each pair in for the variables and see which pairs are true.

Answer: D. 1 Month, 1/12 =1÷12 = 0.08

Step-by-step explanation:

Hi, to answer this question we have to convert the fraction into decimals and compare:

A. Three Months, 1/4 = 1÷4 = 0.25

B. Six Months, 6/12 = 6÷12 =0.5

C. Nine Months, 9/12 = 9÷12 = 0.75

D. 1 Month, 1/12 =1÷12 = 0.08

The option that matchs the rate 0.08 is D.

Feel free to ask for more if needed or if you did not understand something.

Answer:

The correct constraint is:

0 ≤ x ≤ 15

Step-by-step explanation:

The function given to us in the question is:

y = -2x² + 30x + 200

It is given that the function is at least 200, we can write is as:

-2x² + 30x + 200 ≥ 200  ⇒  Equation (i)

To find the constraint, replace ≥ sign with = sign and solve for x:

-2x² + 30x + 200 = 200

-2x² + 30x = 0

x(-2x + 30) =0

x = 0         ,      -2x + 30 = 0

x = 0         ,      -2x = -30

x = 0         ,       x = -30/-2

x = 0         ,       x = 15

So the end values of constraint are 0 and 15.

Take any value between 0 and 15 and substitute in equation (i) to see whether it satisfies the equation or not.

-2x² + 30x + 200 ≥ 200

Substitute x = 5 in the equation:

-2(5)² + 30(5) +200  ≥  200

-50 + 120 +200 ≥ 200

270 ≥ 200

As the equation satisfies. it means that the solution lies between 0 and 15, including the end values.

Hence.

0 ≤ x ≤ 15

Answer:

0 ≤ x ≤ 15

Step-by-step explanation:

got it right on flvs

Answer: i would say no there not always negative

Answer:

Step-by-step explanation:

Answer:

D) About 2,700 in^2

Step-by-step explanation:

Equation for area of a circle is A=3r² (it would usually be A=πr² but we are using the approximation)

The diameter is 60, we want to find the radius for the equation. We can use the equation d=2r to find the radius of the circle.

60=2r

30=r

Put radius into the area equation.

A=3(30)²

A=3(900)

A=2700

Answer:

2,700 in^2 ; Option D

Step-by-step explanation:

If it is known that the diameter of Circle B ⇒ 60 inches,

[tex]Diameter - 60 inches,\\\\Radius - 60 / 2 = 30 inches,\\\\Area of Circle B ( \pi stands for 3 ) - \pi * ( r )^2 = ( 3 ) * ( 30 )^2 = ( About ) 2,700 square inches\\\\Solution; 2,700 square inches[/tex]

( About ) 2,700 square inches; Option D

Answer:

6.63 ft

Step-by-step explanation:

In this case we use pythagora's theorem which is

[tex]hyp^{2}[/tex] = [tex]adj^{2}[/tex] + [tex]opp^{2}[/tex]

in this case, the hypotenuse (hyp) is the length of the ladder, the opposite (opp) is the height of the tree house and, the adjacent (adj) is the distance of the ladder's bottom to the base of the tree.

hpy = 12 ft

opp = 10 ft

adj = ?

substituting into the equation above, we have

[tex]12^{2}[/tex] = [tex]adj^{2}[/tex] + [tex]10^{2}[/tex]

144 = [tex]adj^{2}[/tex] + 100

144 - 100 = 44 = [tex]adj^{2}[/tex]

the image is shown below

adj = [tex]\sqrt{44}[/tex] = 6.63 ft

Answer:

The input is the letter in the parentheses.

Step-by-step explanation:

f(h) is h

g(f) is f

h(g) is g

[tex]\text{Simplify:}\\\\13y + x - 7y\\\\\text{Combine like terms}\\\\13y + x - 7y\\\\6x+y\\\\\text{Since you can't combine anything else, that will be your answer}\\\\\boxed{6y+x}[/tex]

Answer:

The answer is D) The girls are generally taller than the boys.

Step-by-step explanation:

The heights of a group of boys and girls at a local middle school are shown on the dot plots. When comparing the shapes of the two sets of data, the girls are generally taller than the boys.

I hope I helped, please correct me if I'm wrong!

Answer:

8.880,8.808,8.018,8.008

The numbers 8.008, 8.018, 8.088, 8.88, and 8.808 are in ascending order will be 8.008, 8.018, 8.088, 8.808, and 8.88.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The numbers are given

8.008, 8.018, 8.088, 8.88, and 8.808.

Then we are arranging in ascending order, then we have

8.008, 8.018, 8.088, 8.808, and 8.88.

More about the ascending order link is given below.

https://brainly.com/question/320500

Our first step is to get rid of the fraction by multiplying both sides by 3.

So in our second step we have x - 4 > -36.

Now add 4 to both sides to get x > -32.

Since x is greater than -32, the values that would

make this inequality true are -31 and 31.

Answer:

(-infinity, 1)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

16 - 4y  =-4 • (y - 4)

-4 • (y - 4)  = 0

y-4 = 0

y = 4

Answer: Then the sample space is 36.

Step-by-step explanation:

n is the number of possible combinations.

Now, as the die are of different colors, the case where:

white = 1 blue = 2, sum = 1+ 2 = 3

white = 2 blue = 1, sum = 2 + 1 = 3

are different.

So the number of possible combinations is:

6 options for the white dice and 6 options for the blue dice, so we have:

6*6 = 36 different combinations.

Then the sample space is 36.

Answer:

A). Surface area = 222 cm²

Volume = 180 cm³

B). Surface area = 375 cm²

Volume = 360 cm³

C). % increase in surface area = 67.57%

% increase in volume = 100%

Step-by-step explanation:

In the figure attached base of a prism has been given.

A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                       = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off

                                  = 8×5×5 - 2×2×5

                                  = 200 - 20

                                  = 180 cm³

B). Surface area of the prism if it's height is 10 cm,

Surface area = 30×10 + 2×(36) = 372 cm²

Volume of the prism = 8×5×10 - 2×2×10

                                   = 400 - 40

                                   = 360 cm³                                      

C). Increase in surface area = 372 - 222 = 150 cm²

% increase in the surface area = [tex]\frac{150}{222}\times 100[/tex] = 67.57%

Increase in volume = 360 - 180 = 180 cm³

% increase in volume = [tex]\frac{180}{180}\times 100[/tex] = 100%

Answer:

A.

Step-by-step explanation:

1 radian = 180/π

So

Multiplying both sides by 25π/18

We'll get,

25π/18 (r) = (180/π)×(25π/18)

= (180×25)/18

= 10×25

= 250 degrees