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3 years ago

PLEASE. Help with question 12

Mathematics

1 answer:

Arlecino [84]3 years ago

7 0

Answer:

The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x| + k is solid. Use the slider to change the value of k. How does changing the value of k affect the graph? Positive values of k shift the graph . Negative values of k shift the graph .

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A student's grades in the three tests in College Algebra are 85, 60, and 69. a) How many points does the student need on the fin

Anastaziya [24]

Answer:

(a) The student need 82 points on the final to average 74.

(b) The student must score 41 points on the final, assuming that the final carries double the weight.

Step-by-step explanation:

We are given that a student's grades in the three tests in College Algebra are 85, 60, and 69.

As we know that the formula for calculating the average of numbers is given by;

Average (Mean) = $\frac{\text{Sum of all values}}{\text{Number of observations}}$

(a) Let the points student need on the final test to average 74 be ' $x$ '.

So, Average of all four test = $\frac{85+60+69+x}{4}$

$74 = \frac{85+60+69+x}{4}$

$74 = \frac{214+x}{4}$

$214+x =74 \times 4$

$x = 296-214$

$x=82$

Hence, the student needs 82 points on the final to average 74.

(b) It is given that the final carries double the weight, this means that let the points student need on the final test to average 74 be ' $2x$ '.

So, Average of all four test = $\frac{85+60+69+2x}{4}$

$74 = \frac{85+60+69+2x}{4}$

$74 = \frac{214+2x}{4}$

$214+2x =74 \times 4$

$2x = 296-214$

$x=\frac{82}{2}$ = 41

Hence, the student must score on the final 41 points, assuming that the final carries double the weight.

7 0

3 years ago

Sketch this graph using 3 points that belong to it y=-3x-2

Fynjy0 [20]

Answer:

I only found two points : (0,-2) (1,-5)

Step-by-step explanation:

6 0

3 years ago

Check my answers?

hichkok12 [17]

Answer:

3. D) $(-8, -17)$

2. D) $(-15, -16)$

1. B) $(3, -4)$

Step-by-step explanation:

{y = 3x + 7

{y = x - 9

x - 9 = 3x + 7

-3x - 3x

____________

−2x - 9 = 7

+ 9 + 9

__________

−2x = 16

____ __

−2 −2

$-8 = x$ [Plug this back into both equations above to get the y-coordinate of −17]; $-17 = y$

__________________________________________________________

{−4x + 3y = 12

{−2x + 3y = −18

−½[−4x + 3y = 12]

{2x - 1½y = −6 >> New Equation

{−2x + 3y = −18

_______________

1½y = −24

____ ____

1½ 1½

$-16 = y$ [Plug this back into both equations above to get the x-coordinate of −15]; $-15 = x$

__________________________________________________________

{−10x - 3y = −18

{−7x - 8y = 11

−⅜[−7x - 8y = 11]

{−10x - 3y = −18

{2⅝x + 3y = −4⅛ >> New Equation

_________________

−7⅜x = −22⅛

______ _____

−7⅜ −7⅜

$3 = x$ [Plug this back into both equations above to get the y-coordinate of −4]; $-4 = y$

I am joyous to assist you anytime.

5 0

3 years ago

What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?

Rudik [331]

Answer:

21in2 i think is that the enter

6 0

3 years ago

Read 2 more answers

In , there were immigrants admitted to a country. In 1960, the number was . a. Assuming that the change in immigration is lin

Arisa [49]

Answer:

The answer is below

Step-by-step explanation:

The complete question is:

In 1960, there were 237,794 immigrants admitted to a country. In 2001, the number was 1,150,729.

a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.

b. Use your result in part a to predict the number of immigrants admitted to the country in 2013.

c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.

Answer:

a) From the question, we can get two ordered pairs which are $(t_1,y_1)=(60,237794)\ and\ (t_2,y_2)=(101,1150729)$

Using the equation of a line given two points:

$y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1)\\ \\y-237794=\frac{1150729-237794}{101-60}( t-60)\\\\y-237797=22266.71(t-60)\\\\y=22266.71t-1098205.44$

b) In 2013, t = 2013 - 1900 = 113.

Hence:

$y=22266.71t-1098205.44\\\\y=22266.71(113)-1098205.44\\\\y=1417932.488\\\\y=1417933$

$y=22266.71t-1098205.44\\\\the\ y\ intercept\ is\ at\ t=0,hence:\\\\y=22266.71(0)-1098205.44\\\\y=-1098205.44$

Since the y intercept is negative, that is in 1900 the number of immigrants was -1098206 which can not be possible. Hence this equation is not valid and the growth may or may not be linear.

7 0

3 years ago