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3 years ago

The sum of eight times a number and three is fifty-nine. Find the number.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

6 0

Answer:

x=7

Step-by-step explanation:

8x +3 = 59

8x= 56

x = 7

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Identify the vertex of the function, F(x) =3(x-1)2 + 5.

agasfer [191]

Answer:

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)

(

−

)

Use the vertex form,

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−

)

, to determine the values of

, and

Find the vertex

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image of graph

8 0

2 years ago

How do you find the sum of cube ?

SIZIF [17.4K]

Answer:

$(2x+5)(4x^{2} -10x+25)=0$

Step-by-step explanation:

Given:

The given equation is.

$8x^{3} +125=0$

Find the some of cube.

Solution:

$8x^{3} +125=0$

$2^{3}x^{3} +5^{3}=0$

$(2x)^{3} +5^{3}=0$ ----------(1)

The sum of the cube formula is given below.

$(a^{3} +b^{3})=(a+b)(a^{2} -ab+b^{2} )$ -----------(2)

By comparing equation 1 and equation 2

$a=2x, b=5$

substitute a and b value in equation 2

$((2x)^{3} +5^{3})=(2x+5)((2x)^{2} -(2x)(5)+5^{2})$

$((2x)^{3} +5^{3})=(2x+5)(4x^{2} -(10x)+25)$

$((2x)^{3} +5^{3})=(2x+5)(4x^{2} -10x+25)$

Therefore the sum of the cube $(2x+5)(4x^{2} -10x+25)=0$

4 0

3 years ago

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Lady bird [3.3K]

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3 years ago

Find the quotient of (11 ^ 18)/(11 ^ 3)

astraxan [27]

Answer:

The first choice, $11^{15}$ .

Step-by-step explanation:

The numerator, $11^{18}$ , is equivalent to eighteen " $11$ " multiplied together:

$11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}$ .

On the other hand, the denominator, $11^{3}$ , is equivalent to three " $11$ " multiplied with one another:

$11^{3} = 11 \times 11 \times 11$ .

Dividing $11^{18}$ by $11^{3}$ would eliminate three " $11$ " from the numerator:

$\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}$ .