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3 years ago

Solve for a: 5a – 5 = 4a + 4

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

7 0

This is the answer a = 9

vova2212 [387]3 years ago

6 0

Answer:

a=9

Step-by-step explanation:

Reorder terms:

a=9

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The sum of three consecutive odd integers is 69. find the integers

Marta_Voda [28]

Let the integers be x-2, x, x+2.

Given,

x -2 + x + x + 2 = 69

3x = 69

x = 23

Hence, the integers are 21, 23 and 25.

6 0

3 years ago

Consider three events A, B and C with following properties.

lisov135 [29]

By the inclusion/exclusion principle,

$\mathbb P(D)=\mathbb P(A\cup B\cup C)$
$\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)$
$\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}$
$\mathbb P(D)=\dfrac{16}{39}\neq1$

So the union of A, B, and C does not constitute the entire sample space.

5 0

3 years ago

Please help me stats

Korolek [52]

The answer is A.....

5 0

3 years ago

What is the inverse equation for h(x) = 2log(x-3) ?

marshall27 [118]

Given the function:

$h(x)=2log\left(x-3\right)$

To find its inverse:

$\begin{gathered} y=2log\left(x-3\right) \\ x=2log\left(y-3\right) \end{gathered}$

solving for y:

$\frac{x}{2}=log(y-3)$ $\begin{gathered} 10^{\frac{x}{2}}=y-3 \\ \\ 10^{\frac{x}{2}}+3=y \end{gathered}$

ANSWER

$h^^{-1}(x)=10^{\frac{x}{2}}+3$

8 0

1 year ago

The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width

liraira [26]

Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm

8 0

4 years ago