Help and explain ( solve using the substitution method )

Answer:

Step-by-step explanation:

See the table made based on the given values.

It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.

So we can say that:

Correct choice is C

In geometry, several transformations (such as dilation, rotation, reflection, etc.) can be applied to move a parent function to a new function. The function that represents g(x) is [tex]g(x) = 3|x|[/tex]

Given that:

[tex]f(x) = |x|[/tex]

First, we reflect over the y-axis.

The rule of this transformation is: [tex](x,y) \to (-x,y)[/tex]

So, the function becomes

[tex]f'(x) = |-x|[/tex]

[tex]f'(x) = |x|[/tex]

Next, shrink horizontally by 1/3

The rule of this transformation is: [tex](x,y) \to (\frac{x}{a},y)[/tex]

Where:

[tex]a = \frac{1}{3}[/tex]

So, we have:

[tex]g(x) = |\frac{x}{1/3}|[/tex]

[tex]g(x) = |3x|[/tex]

[tex]g(x) = 3|x|[/tex]

Hence, the function that represents g(x) is [tex]g(x) = 3|x|[/tex]

Read more about function transformations at:

https://brainly.com/question/12865301

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem

diagonal² = 16² + 12² = 400

diagonal = √400 = 20 cm

Answer:

0.1294

Step-by-step explanation:

Number of chocolates in box = 38

Number of nuts = 8

Number of caramel = 16

Number of solid chocolate = 14

Since 2 are selected in a row and not replaced, then;

Probability of first being solid chocolate = 14/38

Probability of second being solid chocolate after first one = 13/37

Thus;

P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294

Complete question is;

Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?

Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.

If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.

A) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 < 0

B) H0: μ1 - μ2 = 0

Ha: μ1 < μ2

C) H0: μ1 - μ2 > 0

Ha: μ1 - μ2 = 0

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

E) None of the above

Answer:

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

Step-by-step explanation:

We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.

Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;

It means we want to find out if µ1 > µ2 as the alternative hypothesis.

Thus, alternative hypothesis is;

Ha: µ1 - µ2 > 0

Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.

Thus, null hypothesis is;

H0: μ1 - μ2 = 0

The only correct option is D.

Answer:

3?

Step-by-step explanation:

A little confused by the question but is it just

1/5 2/5 3/5 4/5

1     2     3     4

so theres 3 in between

Answer:

As Doris Day said: Good morning to you

Answer 27/2

Step-by-step explanation:

[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]

Answer:

Card picked=2

P(factors of 28)={1,2,4,7,14,28}

total cards=4

in percentage=4 x 20 + 20

80+20=100

Therefore 2 in percentage will be

2 x 20 + 20

=40+20=60%

Answer:

B. 4

Step-by-step explanation:

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer: D. -4

Step-by-step explanation: took the quiz and got it right.

Answer:

-natural

-whole

-integer

-rational

Brainliest is very much appreciated! :)

Answer:

√x

Step-by-step explanation:

1/(x^(-3/6)

= x^(3/6)

= x^(1/2)

= √x

Answer:0.6666...

Step-by-step explanation:

Dividing

Answer:

D

Step-by-step explanation:

f(x) < 25

x² - 11 < 25

x² < 36

-6 < x < 6

Answer:

See below.

Step-by-step explanation:

When Brian passes Alex they both have travelled the same distance.

Call this distance d.

Let the speed that Brian passes = x miles/hour.

Distance = speed * time  so:

For Alex:

d = (x - 5) * 1.5        ( Alex cycles for 1 + 30 minutes =  1.5 hours)

For Brian:

d = x * 1

So substituting d = x in Alex's equation:

x = 1.5(x - 5)

x = 1.5x - 7.5

7.5 = 0.5x

7/5 / 0.5 = x

15 = x.

ANSWER:

Brian's speed is 15 miles/hour.

Alex's speed is 15 - 5 = 10 miles/hour.

I don't know how you want it solved but, I am giving u -2 I hope this helps

Answer:

Pressure is 80,000 pascals.

Step-by-step explanation:

Area:

[tex] = { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}[/tex]

Pressure:

[tex]{ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}[/tex]

Answer:

A' (-6,3)

B' (-3,0)

C' (-7,1)

Answered by GAUTHMATH

Answer:

A -6, 3

C -7 1

B -3,0

Step-by-step explanation:

Answer:

SA = 37.5 units^2

Step-by-step explanation:

2 1/2 = 2.5

the Surface Area of the cube

SA = 6a^2

SA = 6(2.5)^2

SA = 6(6.25)

SA = 37.5 units^2

Answer: The marked price is 40% more than the original price

40% - 25% = 15% or 1450

Marked price = 140%

140 × 1450 ÷ 15 = 13533. 33

Step-by-step explanation:

Answer:

(-9,1.5)

Step-by-step explanation:

(-6*1.5, 1*1.5)

Answer:

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

2²+4² = h²

20 = h²

h = √20

h = 2√5

Therefore two sides of the rectangle will 2√5

No using pythagoreus theorem in the bigger triangle

x² + (2√5)² = 9²

x² = 9² - (2√5)²

x² = 81 - 20

x = √61

x = 7.8102496759

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 7.81

Please click thanks and mark brainliest if you like

Answer:

[tex]Max\ z = 1[/tex]

[tex]Min\ z = -9[/tex]

Step-by-step explanation:

Given

[tex]z = 4x + 5y[/tex]

[tex]x \ge -1[/tex]

[tex]y \le 2x +3[/tex]

[tex]y \le -1[/tex]

Required

The maximum and minimum of z

To do this, we make use of the graphical method

See attachment for graphs of

[tex]x \ge -1[/tex]

[tex]y \le 2x +3[/tex]

[tex]y \le -1[/tex]

The corner points of the function are:

[tex](x,y) = (-1,1)[/tex]

[tex](x,y) = (-1,0)[/tex]

[tex](x,y) = (-1,-1)[/tex]

We have:

[tex]z = 4x + 5y[/tex]

Calculate z with  the above values

[tex]z = 4(-1) + 5(1) = 1[/tex]

[tex]z = 4(-1) + 5(0) = -4[/tex]

[tex]z = 4(-1) + 5(-1) = -9[/tex]

So, we have:

[tex]Max\ z = 1[/tex]

[tex]Min\ z = -9[/tex]

Answer:

shift of 1 unit to the right

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Given the parent function is y = x² , then

y = (x - 1)² is a shift to the left of 1 unit of the parent function

Answer:

1. 3x^3 - 2x^2 - x

2. -4x^2 + x

Step-by-step explanation:

Answer:

1/6 = 0.16 = 16%

restate the question: 16% of 20.5 is what? multiply: 20.5*.16 = 3.28 now, to find the weight of the object on the moon, subtract 16% from 20.5. 16% of 20.5 is 3.28 20.5-3.28 = 17.22 = 17 22/100 = 17 11/50

the weight of the object is 17 11/50 pounds on the moon.

9514 1404 393

Answer:

  A.  x = ±2

Step-by-step explanation:

Add 14, then take the square root.

  x^2 -14 +14 = -10 +14

  x^2 = 4

  x = ±√4

  x = ±2

Answer:

A

Step-by-step explanation:

X^2-14=-10

X^2=14-10

X^2=4

√X2=√4

X=±2

Answer:

4

Step-by-step explanation:

4 because 4^2 = 16.

Answer:

C

D

Step-by-step explanation:

Point slope form is written in

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is a point on the line.

Looking at the values we have m = 1/2 and x1 = 1, y1 = 4.

Therefore the slope is 1/2 and the point is (1,4)

Answer:

156,567

Step-by-step explanation:

782,835 ÷ 5 = 156,567

Answer:

it is 165,567

Step-by-step explanation:

u divide

Answer:

[tex]\frac{12}{16} =\frac{16-x}{12}[/tex] → [tex]144=256-16x[/tex]

[tex]16x=256-144[/tex]

[tex]16x=112[/tex] → [tex]x=7[/tex]

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