Can someone help me with number 18 please!!!!

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Work Shown:

We have this set of data

[tex]\begin{tabular}{|l|l|}\textbf{game} & \textbf{goals}\\ 1 & 5 \\ 2 & 6 \\ 3 & 6\\ 4 & x \end{tabular}[/tex]

where x is some positive whole number. Add up everything in the second column:

5+6+6+x = x+17

This represents the total number of goals made over the four games.

Divide this over the number of games played (4) and set that equal to the mean of 6. Solve for x.

(x+17)/4 = 6

x+17 = 4*6

x+17 = 24

x = 24-17

x = 7

7 goals were scored in the fourth game.

Answer:

Second Choice

Step-by-step explanation:

The vertex form can be expressed as:

[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]

We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:

[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]

Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.

[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]

Therefore a = 2.

Hence:-

[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]

Given:

[tex]f(x)=3x^2-5x-2[/tex]; find f(-2/3)

Answer:

[tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]

Step-by-step explanation:

1. Insert [tex]-\frac{2}{3} \\[/tex] as X; [tex]f(-\frac{2}{3}) = 3 (-\frac{2}{3} )^2 - 5 (-\frac{2}{3}) - 2[/tex]

2. Solve equation; [tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]

Answer:

62.24

Step-by-step explanation:

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A cup of coffee's temperature was measured over a 30-minute period in degrees Celsius.

Let T be the temperature and t be the time. Then the regression equation is given as,

ln T = 4.20 - 0.023 t

Then predicted temperature after 3 minutes is given as,

ln T = 4.20 - 0.023 x 3

ln T = 4.20 - 0.069

ln T = 4.131

T = 62.24 °C

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

A? It makes the most sense i gues... So sorry if wrong!

Answer:

D. 5i

Step-by-step explanation:

edge 2021

Answer:

When putang ina mo one said i hated yepero mahal kita yiee kilig to the bones ang potcha haha

Answer:

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

Step-by-step explanation:

Answer:

[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]

Answer:

Third option

Step-by-step explanation:

[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]

Answer:

-34/45

Step-by-step explanation:

first step you wanna do is Multiply the numbers -1/5- 1 (-2/3)- (5/6)= -1/5 and -5/9 then subtract those two fractions and you get -34/45 since both of the fractions were negative the answer results as a negative aswell

Answer:

[tex]y = x + 4[/tex]

Step-by-step explanation:

[tex]1 = 1(- 3 )+ b \\ 1 = - 3 + b \\ b = 4 \: \: \: \: y - intercept[/tex]

A number is divisible by another number if the quotient is a counting number and the remainder is 0.

Answer: 22/3 I think

sorry if it’s wrong

Answer:

7 1/3

i hope this helps you can do it

Answer:

not sure about it this one is tuff

Answer:

4/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.

12 ÷ 33 ÷ 3.

Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.

Answer:

i think you divide 12/3 and you get the answer of 4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

270 divided by 45

=6

Answer:

D 130º

Step-by-step explanation:

3x-70=x+10

so 2x-70=10

x=40

Answer:

0.0226122585576093

Answer:

-2 = -2/7

-1= -1/7

0=0

1= 1/7

2= 2/7

Step-by-step explanation:

it gives you a function of 1/7 so you multiply it by x and u get the g(x) also know as Y

Answer:

A

Step-by-step explanation:

count both sides divide by missing pieices

Answer:

m/4

Step-by-step explanation:

Step-by-step explanation:

Circumference (C):

[tex]C = 2\pi r = 2\pi(5\:\text{ft}) = 31.4\:\text{ft}[/tex]

Area (A):

[tex]A = \pi r^2 = \pi(5\:\text{ft})^2 = 78.5\:\text{ft}^2[/tex]

Answer:

208 ft^3

Step-by-step explanation:

Let the plane through the 4 ft X 4ft square at the top of the figure break the figure into 2 boxes, one has dimensions (8-7) by 3 by 4 = 1ft X 3ft X 4ft, and the other has dimensions 7 by 7 by 4 = 7ft X 7ft X 4ft.

They have volumes of (1)(3)(4) = 12 ft^3, and (7)(7)(4) = 196 ft^3, respectively, so the total volume = 12 + 196 = 208 ft^3, the answer.

Answer:

8 vehicles

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

         Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

$2000 need to be earned only through incentive, which is $250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle=

8 vehicles need to be sold by salesperson to get total earning as $4400.