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Elan Coil [88]
3 years ago
14

Solve each equation. Show your thinking. a. 5x-10=30 b. 3x+8=21

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0
Add ten from both sides and then divide 40 of 5x its 8
B subtract 8 from both sides 13 divide by 3 answer is 13/3
Kay [80]3 years ago
4 0

Answer:

A) X = 8

B) X = 4.3 or 13/3

Step-by-step explanation:

A) 5x - 10 = 30

(add ten to both sides)

    5x = 40

(divide by 5 on both sides)

    <u>x = 8</u>

<u></u>

B) 3x + 8 = 21

(subtract 8 to both sides)

    3x = 13

(divide by 3 on both sides)

    <u>x = 4.3 or 13/3</u>

Hope this helped!

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Mateo went out to eat dinner, and the meal cost $30.00. If Mateo received a 12% discount, what was the total value of the discou
Vanyuwa [196]

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3.6

Step-by-step explanation:

4 0
3 years ago
Let f and g be functions. (a) The function (f + g)(x) is defined for all values of x that are in the domain(s) of ____________.
krok68 [10]

Answer:

a) for all values of x that are in the domains of f and g.

b) for all values of x that are in the domains of f and g.

c) for all values of x that are in the domains of f and g with g(x)≠0

Step-by-step explanation:

a) By definition (f+g)(x)=f(x)+g(x). Then x must be in the domain of f and g.

b) By definition (fg)(x)=f(x)g(x).  Then x must be in the domain of f and g.

c) By definition (f/g)(x)=f(x)/g(x).  Then x must be in the domain of f and g and g(x) must be different of 0.

5 0
3 years ago
Can someone help me on this question?
notsponge [240]

Answer:

x = 19.6

Step-by-step explanation:

By applying cosine rule in ΔBCD,

cos(30)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

              = \frac{BC}{BD}

\frac{\sqrt{3}}{2}=\frac{BC}{16}

BC = 8\sqrt{3}

Now, by applying sine rule in ΔBAC,

sin(45)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{1}{\sqrt{2}}=\frac{AB}{BC}

\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}

x = 8\sqrt{6}

x = 19.59

x ≈ 19.6  

3 0
3 years ago
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