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3 years ago

Which graph represents the solution set of - 4x - y <- 6?

Mathematics

2 answers:

satela [25.4K]3 years ago

8 0

Answer: it’s D

Step-by-step explanation:

Tomtit [17]3 years ago

7 0

Y’all give me the answer

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F(x) = x2 – 2x - 8

maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

we have

$f(x)=x^{2}-2x-8$

we know that

The y-intercept is the value of the function f(x) when the value of x is equal to zero

For x=0

$f(x)=0^{2}-2(0)-8\\f(x)=-8$

therefore

The y-intercept is the point (0,-8)

see the attached figure to better understand the problem

5 0

3 years ago

How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph

Marina CMI [18]

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

$f(x)=x^3$

The translation of a function is defined as

$g(x)=f(x+a)+b$

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down. So, a=4 and b=-2.

$g(x)=f(x+4)+(-2)$

$g(x)=(x+4)^3-2$ $[\because f(x)=x^3]$

$y=(x+4)^3-2$

Therefore option B is correct.

8 0

3 years ago

Read 2 more answers

In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.

kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

$\frac{u}{sinU} = \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}$

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

$\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in$

The length of u is 7.4inches to nearest 10th of an inch

6 0

3 years ago

Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four yea

andreev551 [17]

<span>The simple interest formula is:

A = P · (1 + r · t)
where:
A = total amount
P = principal
r = rate
t = time

Let's solve for r:
A = P + P · r · t
P · r · t = A - P

r = (A - P) / (P · t)

The quantity A - P is defined as the Interest, therefore:
r = I / (P <span>· t)
= 1020 / (8500 </span>· 4)
= 0.03

Therefore the rate was 3%.

</span>

5 0

3 years ago

Read 2 more answers

I NEED HELP ON THIS SO CROWN FOR ANSWER

garri49 [273]

Answer:

Step-by-step explanation:

16oz is one pound and the puppy is already 514 so not it's

514.5(decimal)

$514\frac{1}{2}$ (fraction)

4 0

2 years ago