seven times the sum of a number and three

Answer:

Step-by-step explanation:

h(2)= 2

g(2)= 3(2) + 2 = 6 + 2 = 8

f(8)= 2(8) - 1 = 16 - 1 = 15

Answer:

27

Step-by-step explanation:

Set up the composite result function.

F(G(H(x)))

Evaluate F(G(H(x))) by substituting in the value of H into G.

Multiply 3 by x^2

F(G(x2))=F(3x2+2)

Evaluate F(G(x)) by substituting in the value of G into F

F(3x2+2)=2(3x2+2)-1

Simplify each term.

Apply the distributive property.

F(3x2+2)=2(3x2)+2⋅2-1

Multiply 3 by 2

F(3x2+2)=6x2+2⋅2-1

Multiply 2 by 2

F(3x2+2)=6x2+4-1

Subtract 1 from 4

F(3x2+2)=6x2+3

Evaluate the result function by replacing x with 2 in the function.

6(2)2+3

Simplify the evaluated function.

Simplify each term.

Raise 2 to the power of 2

6⋅4+3

Multiply 6 by 4

24+3

27

Answer:

My friend Cody can eat a sandwich swiftlier  than any human or animal I have ever seen.

Answer:

The square root of numbers like 4, 9, and 16 is a square number.

Answer:

yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)

Step-by-step explanation:

Complete question :

A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:

City - - - - - Price ($) -- - Sales

River City - - 1.30 - - - - - - 100

Hudson - - - 1.60 - - - - - 90

Ellsworth - - - 1.80 - - - - - 90

Prescott - - - - 2.00 - - - - 40

Rock Elm - - 2.40 - - 38

Stillwater - - 2.90 - - 32

Answer:

78.39%

Step-by-step explanation:

what is the percentage of the total variation in candy bar sales explained by the regression model?

The question could be interpreted as meaning the percentage of the total variation in the dependent variable (candy bar sales) which can be explained by the regression model. Hence the independent variable is price. This variance can be known by calculating the Coefficient of determination (R^2) value of the regression model.

To save computation time, the R^2 value can be obtained using an online Coefficient of determination calculator.

To obtain the R^2 value, the values of the dependent and independent variables are entered. The R^2 value obtained is : 0.7839

Therefore the total proportion of variance in candy bar sales explained by the regression model is 0.7839 which is equivalent to:

(0.7839 * 100) = 78.39%

Answer:

$240

Step-by-step explanation:

If she earns 60% commission, that means she only earns 60% of all sales. So if you take that 60% or (.60) you can multiply that 400 by .60, that equates to 240.

Answer:

he could by 2 pounds and still have a dollar left over because

15 11 6

-4 -5 -5 so yeah

11 6 1

Divide 4 by 15:

4/15 = 0.2666666

Some of the possible rounding are: 0.267, 0.27 or 0.30

Answer:

-4-5

Step-by-step explanation:

The temp was at -4 and if it dropped that means you subtract another 5 from it which is -4-5

Answer:

The correct answer is -4 - 5.

Step-by-step explanation:

The original temperature is -4 degrees.  Then, the temperature falls by 5 degrees.  The temperature "falling" means that it is getting colder or that the temperature is getting lower.  This lets us know that we need to use subtraction.  The final answer is -4 - 5, which would give us the temperature of -9 degrees as the new temperature.

Hope this helps!

Answer:

Step-by-step explanation:

y - 5 = 8

y = 13

Answer:

[tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Step-by-step explanation:

The given data set is

45, 47, 23, 30, 27, 31, 21, 31, 22, 38

Arrange the data is ascending order.

21, 22, 23, 27, 30, 31, 31, 38, 45, 47

Divide the data in 4 equal parts.

(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)

Now,  

Minimum value = 21

First quartile, [tex]Q_1=23[/tex]

Median, [tex]M=\dfrac{30+31}{2}=30.5[/tex]

Third quartile, [tex]Q_3=38[/tex]

Maximum value = 47

Therefore, the five-number summary for the given data set is [tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Answer:

A (12, 24)

Step-by-step explanation:

The pattern in the ordered pair is (Add 3, Times itself)

Answer:

(x, y) → (x + 6, y + 13)

Step-by-step explanation:

Let's use one of the points to determine the transition:

Transition:

So the rule is:

Answer:

up 13 , right 6

Step-by-step explanation:

up 13 , right 6

E(-8,-3)

right 6 for x : -8+6=-2

up 14 for y : -3+13=10

E'(-2,10)

for D : (-5,-7)

right 6 : -5+6=1

up 13 : -7+13=6

D'(1,6)  and E'(-2,10)

Answer:

-23

Step-by-step explanation: Because when you are adding to negatives together, they add up forward, not backword.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{r = 1.9}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(r + 1) = 20.3}[/tex]

Distribute 7 through the parentheses

⇒[tex] \sf{7r + 7 = 20.3}[/tex]

Move 7 to right hand side and change it's sign

⇒[tex] \sf{7r = 20.3 - 7}[/tex]

Subtract 7 from 20.3

⇒[tex] \sf{7r = 13.3}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7r}{7} = \frac{13.3}{7} }[/tex]

Calculate

⇒[tex] \sf{r = 1.9}[/tex]

Hope I helped!

Best regards!!

r is 1.9

Solve  7(r+1) = 20.3

Remove the brackets by dividing both sides by 7:

7(r+1) / 7 = 20.3 / 7

r + 1 = 2.9

Take 1 to the other side so that you can be left with r. When you do this, the sign will change from positive to negative:

r = 2.9 - 1

r = 1.9

r is therefore 1.9

Find out more at https://brainly.com/question/17289311.

Step-by-step explanation:

Use segment addition/subtraction:

GK = GJ − HJ + HK

GK = 2x + 5 − x + 4x − 1

GK = 5x + 4

If GK = 39, then the value of x is:

39 = 5x + 4

5x = 35

x = 7

Use segment subtraction to find GH and JK.

GH = GJ − HJ

GH = 2x + 5 − x

GH = x + 5

GH = 12

JK = HK − HJ

JK = 4x − 1 − x

JK = 3x − 1

JK = 20

Answer:

7/10x hope it helps

Answer:

let, one number be x

then, other number be x-3

X+X-3=15

or, 2X=15+3

or,2X=18

or,X=18÷2

or,X=9

one number =9

then another number=X-3=9-3=6

The system of equations with two numbers x ad y are,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Given that,

The sum of two numbers is fifteen.

And, One number is three less than the other.

Let us assume that,

Two variables for the numbers in the system of equations are x and y.

Hence, we can write the system of equations as,

The sum of two numbers is fifteen.

⇒ [tex]x + y = 15[/tex]

And, One number is three less than the other.

⇒ [tex]x = y - 3[/tex]

So, the system of equations is,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Learn more about systems of equations at:

brainly.com/question/14323743

#SPJ4

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 + x - 6x = - 5}[/tex]

Collect like terms

⇒[tex] \sf{5 - 5x = - 5}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{ - 5x = - 5 - 5}[/tex]

Calculate

⇒[tex] \sf{ - 5x = - 10}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{x=2}[/tex]

Step-by-step explanation:

[tex]5+x-6x=-5[/tex]

Combining like terms.

[tex]5-5x=-5[/tex]

Subtracting 5 from both sides.

[tex]-5x=-10[/tex]

Dividing both sides by -5.

[tex]x=2[/tex]

Answer:

5

Step-by-step explanation:

a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial

A polynomial with one quadratic obtains the forms ( ax² +bx +c ) with 3 linear factors.

Suppose the three linear fractions are :

(x- P) (x-Q) (x- R)

∴

The polynomial = ( ax² +bx +c )(x- P) (x-Q) (x- R)

By factorization, the highest degree of the polynomial = 5

Answer:

Below.

Step-by-step explanation:

The initial factors do not affect the prime factorisation.

Continuing the factorisation will lead to the same result whichever initial factors you choose.

    48  

 4   *   12

2*2  *  2*2*3

= 2*2*2*2*3

      48

  6  *    8

2*3  *  2*2*2

= 2*2*2*2*3.

Answer:

A prime factorization is the product of the prime numbers that multiply to give the original number. 48 will have a prime factorization of 2(2)(2)(2)(3), or 24(3), regardless of the initial factors.

Step-by-step explanation:

It is correct!

You would need to include the center of rotation. For many problems, the center is usually the origin (0,0). This is a default assumed center. Though the center could easily be any other point.

In addition, you also need the amount of rotation that is being applied (eg: 90 degrees).

The last bit of info you need is whether you're going clockwise or counterclockwise. For 180 degree rotations, it doesn't matter, but for everything else it does matter.

Answer:

Divide −x - x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x3 f - 1 ( x ) = - x 3 is the inverse of f(x)=−3x f ( x ) = - 3 x

Answer:

x+14.

Step-by-step explanation:

Sum of a number and 14 is x+14.

Answer:

≈0.76

Step-by-step explanation:

P(A) = 0.33

P(A and B) = 0.25

P(B) = ?

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

Probability of two events happening is the product of individual probabilities

Then to find the probability of one of the events:

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.