Please help me, please

If f(x-1) = 2x+3 for all values of x, what is the value of f(-3)?

stiks02 [169]

$f(x-1)=2x+3 \\ f(-2-1)=2 \cdot (-2)+3 \\ f(-3)=-4+3=-1 \\ answer \ D)$

7 0

3 years ago

A wedding website states that the average cost of a wedding is $25,809. One concerned bride hopes that the average is less than

lapo4ka [179]

Answer:

1)

Null hypothesis H₀ : μ = 25,809

Alternative hypothesis H₁ : μ < 25,809

2) Test Statistic = -1.44

3) Conclusion:

The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.

Step-by-step explanation:

Given the data in the question;

Sample mean x" = 24,638

sample size n = 46

standard deviation σ = 5531

level of significance ∝ = 0.10

NULL and ALTERNATIVE HYPOTHESIS

Null hypothesis H₀ : μ = 25,809

Alternative hypothesis H₁ : μ < 25,809

TEST STATISTICS

Z = (x"-μ) / σ√n

we substitute

Z = (24,638 - 25,809) / (5531/√46)

Z = -1171 / 815.5

Z = -1.44

Test Statistic = -1.44

Now, from normal z-table;

P-value = P( Z < -1.44 ) = 0.0749

P-value = 0.0749

Since P-value ( 0.0749 ) is less than level of significance ( 0.10 ), we reject H₀.

Conclusion:

The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.

6 0

3 years ago

ANSWER ASAP

NeX [460]

When you're given a parallel line, that means you know that both lines should have the same slope m.
And you're given a point (x,y) so you plug in the x for $x_{1}$ in the equation and y for $y_{1}$ in the equation.
Also plug in m because that was given.

y - $y_{1}$ = m(x - $x_{1}$ )

Then you can simplify the equation to get y = mx + b

8 0

3 years ago

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One side of a triangle is half the longest side. The third side is

Illusion [34]

Answer:

The length of the sides are 9 units, 18 units and 11 units

Step-by-step explanation:

Let

x ----> one side of the triangle

y ----> the longest side of the triangle

z ----> the third side of the triangle

we know that

The perimeter of triangle is equal to

$P=x+y+z$

we have

$P=38\ units$

so

$38=x+y+z$ ----> equation A

$x=\frac{y}{2}$ -----> equation B

$z=y-7$ ----> equation C

substitute equation B and equation C in equation A

$38=\frac{y}{2}+y+(y-7)$

solve for y

$38=\frac{5}{2}y-7$

$\frac{5}{2}y=38+7$

$\frac{5}{2}y=45$

$y=45(2)/5$

$y=18\ units$

Find the value of x

$x=\frac{y}{2}$ ---> $x=\frac{18}{2}=9\ units$

Find the value of z

$z=y-7$ ----> $z=18-7=11\ units$

therefore

The length of the sides are 9 units, 18 units and 11 units

4 0

3 years ago

find the distance between point A(-3,5) and point B(4,-6) in the coordinate plane. 1- What is the distance formula? 2- plug in t

IrinaK [193]

1- What is the distance formula?
distance = √(x2-x1)² + (y2-y1)²

2- plug in the correct values from the problem, write the diatance formula with substituted values
distance = √(4-(-3))² + (-6-5)²

3- simplify the expression, what is the distance between the two points?
distance = √170 = 13.04

4 0

3 years ago

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