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3 years ago

What is the vertex of the function y=|x+3| - 2?

Mathematics

2 answers:

dmitriy555 [2]3 years ago

8 0

Answer:#3

Step-by-step explanation: The vertex form of this equation is y= | x-a | + b. So -(-x) would equal x. In the third answer choice, the x coordinate would be represented by a negative 3 (because two negatives make a positive). The y coordinate would be -2 because N + (-2) = N - 2, thus giving the answer of (-3,-2)

I hope this helped!!

mylen [45]3 years ago

4 0

Answer:

3. (-3,-2)

Step-by-step explanation:

For an absolute value the equation, the transformations are as shown:

y= ±a|b(x-h)|+k.

'h' and 'k' are the vertex coordinates, meaning if y= |x+3|-2:

h= -3

and k= -2

Therefore, we get:

(-3,-2)

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Order the rational numbers from least to greatest.

Verdich [7]

Answer:

d. -7 1/8, -3.62, -1/2, 0, 1.75

Step-by-step explanation:

7 0

3 years ago

Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.

melomori [17]

V=basearea times 1/3 times height
basearea=64π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

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4 0

3 years ago

Mario says that the expression 4+3n² has four terms: 4, 3, n, and 2. Is he correct? explain.

stich3 [128]

Mario says that the expression $4+3n^2$ has four terms: 4, 3, n, and 2. Mario is incorrect

Solution:

Given that the expression is:

$4+3n^2$

Given that, Mario says that the above expression has four terms

But Mraio is incorrect

Because the given expression has two terms only

4 is one of the term

$3n^2$ is another term

So there are totally 2 terms only

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

Here 3 is a constant multiplied by $n^2$

So, $3n^2$ is one term

Each term in an algebraic expression is separated by a + sign or - sign

Thus there are two terms in mario expression

8 0

2 years ago

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus

Iteru [2.4K]

solve the equation ax – c = bx + d for x:

1) Group the x terms together on the left: ax - bx - c = d

2) Group the constant terms together: ax - bx = c + d

3) factor out x: x(a - b) = c + d

4) Divide both sides of the equation by (a - b) to obtain a formula for x:
c+d
 x(a - b) = c + d => x = ---------
a-b

This shows that the given equation CAN be solved for x, but there is a restriction: a must NOT equal b, because if a-b = 0, we'd have division by zero (which is not defined).

Where is Victoria's solution? Please share it if you want to discuss this problem further. Thank you.

8 0

3 years ago

Read 2 more answers

Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1).

eduard

Reading that as

$F(x)=\displaystyle\int_1^{3x}(\ln t)^2\,\mathrm dt$

By the fundamental theorem of calculus, the first derivative is

$F'(x)=3(\ln(3x))^2$

and so the second derivative would be

$F''(x)=\dfrac{6\ln(3x)}x$

which means

$F''(1)=6\ln3$

7 0

2 years ago

Read 2 more answers