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MariettaO [177]
2 years ago
11

What is the quadratic function f(x)= x^2 + 8x − 2 in vertex form?

Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0
Well vertex formula is A(x-h) + k
Where H and K are the X and Y coordinates of the minimum of the parabola
so using a graphing calculator to find the vertex of the graph you can plug it all in to get

(x + 4)^2 -18

you have no A value because it is 1
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Which expression results from using the Distributive Property? 2(5 + 3r)
Natasha_Volkova [10]

Answer:

6r + 10

Explanation:

2(5 + 3r)

= (2)(5 + 3r)

= (2)(5) + (2)(3r)

= 10 + 6r

= 6r + 10

5 0
2 years ago
Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with
yan [13]

Answer:

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

<em></em>

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, s_A = 12 inches

Height of A, h_A = 8 inches

Side Length of B, s_B = 48 inches

Height of B, h_B = 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

OR

V_B is how many times bigger than V_A ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}

Here, base is square, so:

V=\dfrac{1}{3} \times s^2 \times h

Volume of pyramid A:

V_A=\dfrac{1}{3} \times s_A^2 \times h_A

\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3

Volume of pyramid B:

V_B=\dfrac{1}{3} \times s_B^2 \times h_B

\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

3 0
3 years ago
Steel Factory Workers Ages
igor_vitrenko [27]

Solution: We are given the population mean =42

Now, in order to find which shift's mean is closest to population mean, we will find the mean of each shift.

The mean of shift 1 is:

Mean=\frac{18+25+56+42+29+38+54+47+35+30}{10}=\frac{374}{10}=37.4

The mean of shift 2 is:

Mean=\frac{23+19+50+49+67+34+30+59+40+33&#10;}{10}=\frac{404}{10}=40.4

The mean of shift 3 is:

Mean=\frac{19+22+24+40+45+29+33+29+39+59  }{10}=\frac{339}{10}=33.9

The mean of shift 4 is:

Mean=\frac{21+23+25+40+35+19+70+40+22+23  }{10}=\frac{318}{10}=31.8

We clearly see the mean of shift 2 is close to the population mean. Hence the option B) Shift 2 is correct.

7 0
3 years ago
Read 2 more answers
Write each number without exponent 6.453 x 10^-3
Solnce55 [7]

Answer:

.006453

Step-by-step explanation:

6.453 x 10^-3

Move the decimal 3 places to the left since the exponent is negative

006.453

.006453

7 0
2 years ago
A 16 pound bag of dog food normally sells for $16.98 it is on sale for 18% off the regular price what is the discount
tiny-mole [99]
The price is now 13.92 (13.9236) <span>16.98-13.92 </span>It's a $3.06 discount 

4 0
2 years ago
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