if y varies directly with an x and y=12 when x=-1, find y if x=2

Answer:

Step-by-step explanation:

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.766 = x /3

0.766*3 = x

2.298 = x

2.30  = x

Answer:

3 : 8

Step-by-step explanation:

[tex]\frac{x}{1} = \frac{3y}{8}[/tex]

cross multiply

8x = 3y

x = 3/8

x : y = 3 : 8

Answer:

f(x) approaches positive infinity.

g(x) approaches negative infinity.

the y-intercept of f(x) is less than the y-intercept of g(x).

Step-by-step explanation:

the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.

therefore, with x going to positive infinity, also f(x) goes to positive infinity.

the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.

the y-intercept of f(x) = f(0).

that means the functional value when x=0.

so, for x=0 this means

y = 2×0³ - 3×0² + 5×0 + 7 = 7

the graph of g(x) shows that g(0) is 8.

so f(0) is less than g(0).

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

Polynomials are algebraic expressions whose form is described below:

[tex]y = \sum \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex]     (1)

Where [tex]c_{i}[/tex] is the i-th coefficient of the polynomial.

In this question we have two polynomials in two distinct presentations, an analytical and a graphical one, whose behaviors must be analyzed to fill the blanks of the paragraph given. The complete paragraph is shown below:

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

To learn more on polynomials, we kindly invite to check this: https://brainly.com/question/20121808 #SPJ5

Answer:

A. Amplitude: 1; midline: y = 1

Answer:

A. Amplitude: 1; midline: y = 1

Step-by-step explanation:

i took the test

The total of the two cars is 0.46 + 0.34 = 0.8

The total of all probabilities needs to equal 1

The probability of not buying either car is 1 - the sum of the two probabilities

1-0.8 = 0.20

The probability of not buying either car is 0.20

Answer:

20mins

Step-by-step explanation:

3/4 * 60 = 45 mins

1/4 * 60 = 15mins

15mins + 10mins = 25 mins

45 - 25 = 20mins

Answer:

h = 5

Step-by-step explanation:

6/8 - h/8 = 1/8

Multiply each side by 8 to clear the fractions

8*(6/8 - h/8) = 1/8*8

6 - h = 1

Subtract 6 from each side

6-h-6 = 1-6

-h = -5

Multiply each side by -1

h = 5

Answer:

[tex]h = 5[/tex]

Step-by-step explanation:

Solve the equations:

[tex] \frac{6}{8} - \frac{h}{8} = \frac{1}{8} [/tex]

Reduce fractions to the lowest term by canceling the greatest common factor:

[tex] \frac{3}{4} - \frac{h}{8} = \frac{1}{8} [/tex]

Rerreange unknown terms to the left side of the equation:

[tex] - \frac{h}{8} = \frac{1}{8} - \frac{3}{4} [/tex]

Find the common denominator and write the numerator above common denominator:

[tex] - \frac{h}{8} = \frac{1 - 6}{8} [/tex]

Calculate the sum or difference:

[tex] - \frac{h}{8} = \frac{ - 5}{8} [/tex]

Reduce the greatest common factor on both sides of the equation:

[tex] - h = - 5[/tex]

Divide both sides of the equation by the coefficient variable:

[tex]h = 5[/tex]

Write the additive inverse of [tex]\frac{ - 1}{3} [/tex].

➼ The additive inverse of [tex] \frac{ - 1}{3} [/tex] is [tex]\frac{+ 1}{3} [/tex].

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Answer:

They are not similar

Step-by-step explanation:

Angles dont match

Answer:

152 cups were ordered.

Step-by-step explanation:

Let the number of small size cups = x

And the number of medium size cups = y

Total number of cups used = 63

Therefore, first equation will be,

x + y = 63 -------(1)

Brewers emptied = 147 oz

Quantity of coffee in a small cup = 8 oz

Total amount of coffee in small cups = 8x

Quantity of coffee in a medium cup = 12 oz

Total amount of coffee in medium cups = 12y

Therefore, second equation will be,

8x + 12y = 147 -------(2)

Multiply equation (1) with 12 and subtract is from equation (2)

(8x + 12y) - (12x + 12y) = 147 - 756

-4x = -609

x = 152.25

Therefore, 152 cups of small size coffee were ordered.

Answer:

huh

Step-by-step explanation:

?

The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]

An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.

Time period = x years

The number of archaeological sites discovered in a country  in x years = S(x) = [tex]2(1.1)^{x}[/tex]

The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]

The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]

Learn more about exponential function here

https://brainly.com/question/11487261

#SPJ2

C. 270

Hope this helps! :)

Answer:

A.)90 degrees

Step-by-step explanation:

Answer:

3x-2=25

x=9. .

Answer:

9

Step-by-step explanation:

Answer:

113mm^2

Step-by-step explanation:

Firstly work out the area of the pink circle using πr^2, which is the area of a process.

So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.

Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.

72π - 36π = 36π

36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2

Answer:

the probability that it will be either red or blue is 7/9

Step-by-step explanation:

There are 9 disks altogether.  Since there are 4 red disks, the probability that a red disk will be drawn is 4/9.  The probability that a blue disk will be drawn is 3/9.  These two events are independent of one another.

The probability that it will be either red or blue is that of the union of the two events.  Thus, we add together 4/9 and 3/9, obtaining 7/9

Step-by-step explanation:

a) Since there are 2 #1 in the spinner, the probability of landing on a 1 is 2/8 or 1/4

b) Since there is only one #2, the probability is only 1/8.

c) Probability of landing on #3 is 2/8 or 1/4.

d) Probability of landing on a #4 is 1/8

e) Just like the case of #1 & #3, there are 2 chances out of eight that it will land on a #5 so the probability is 2/8 or 1/4

Answer:

i think its yz but not sure

Step-by-step explanation:

Answer:

i think . it is c

Step-by-step explanation:

Answer:

4(b + 2)

Step-by-step explanation:

Given data

The expression is

( 4b + 8)

Looking at the expression, 4 is common

factor 4 out

4(b + 2)

Hence the equivalent expression is

4(b + 2)

Answer:

28/43

Step-by-step explanation:

The question asks what is the probability that Marley picks out a blue or yellow marble.

In total, there are 43 marbles.

In total, there are 28 blue and yellow marbles. (18+10=28)

So, the answer would be 28/43

Hope this helps

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

Answer:

The independent variable (IV) is the depths at the Altantic Ocean and the dependent variable (DV) is the water temperatures.

Step-by-step explanation:

The IV is what is changed between the groups of the study.

The DV is what is being measured for the groups.

You can say that the DV depends on the IV because changes and differences in the DV depends on the changes for the IV.

I hope this helps! :)

Answer:

C

Step-by-step explanation:

Slope

Y-intercept = -4

Knowing the slope is 3 and the y-intercept is -4, the answer should be y=3x-4.

2×12=24

24+3= 27

12*12=144

144/24=6

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

When there is no linear term in the equation, the axis of symmetry is x=0.

__

The values 'a' and 'c' represent a vertical scale factor and a vertical translation, respectively. They do not change the axis of symmetry from that of the parent function, which is x=0.

Answer:

D

Step-by-step explanation:

7.17 x 10(4) = 71,700

8.17 x 10(5) = 817,000

Any numbers between 71,700 and 817,000 is obv the answer

I did the math

A 69,200

B 7,200,000,000

C 7,570

D 80,530

Pretty obv that D be the only one that is inbetween 71,700-817,000

(excuse my spelling pls)

[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex] 

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[tex] \frac{1}{2} + \frac{1}{3} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]

[tex]= \frac{3}{6} + \frac{2}{6} [/tex]

Now that the denominators are equal, we can add them.

[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]

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