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WARRIOR [948]
1 year ago
11

Solve for x: 5x+7=3x−9.

Mathematics
1 answer:
ludmilkaskok [199]1 year ago
6 0

To solve for x in the given equation;

5x+7=3x-9

We start by collecting like terms, as follows;

5x-3x=-9-7

When a number crosses the sign of equality, the sign in front of it switches. Positive numbers becomes negative, and vice versa.

We would now have;

\begin{gathered} 5x-3x=-9-7 \\ 2x=-16 \\ \text{Divide both sides by 2;} \\ \frac{2x}{2}=\frac{-16}{2} \\ x=-8 \end{gathered}

ANSWER:

The answer is x = -8

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Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below.
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Excuse me but his answer is incorrect. To find the proper rate of change you might have to solve it like you would for slope.
First you would find the points for x = 3 and x = 15 would be (3, 0.08) and (15, 327.68). Then using the slope formula you can find 327.60/ 12. That gives 27.3. So in that case the correct answer is C.
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What are the steps to divide 36.75 by 3?
Nadya [2.5K]

Answer:

12.25

Step-by-step explanation:

(1): "36.75" was replaced by "(3675/100)".

2 Simplify 147/4

3 147 /4 divided by 3

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49/4 which equal 12.25000

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3 years ago
2. What is the pay rate for someone who works 3 hours and earns $21?
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C. 7 hours because to find the hourly pay do 21 divided by 3 which is equal to 7
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Find the slope of a line parallel to the line that crosses ( 3 , − 2 ) and the y -intercept is ( 0 , − 3 ) . I finally figured o
mamaluj [8]

Answer:

y = 1/3x - 3

Step-by-step explanation:

We can find the equation of the line, by finding the slope and combine with our y-intercept (-3).

We need to use the slope formula to find the slope.

Thus, we have (-3 - (-2)) / 0 - 3 = -1/-3 = 1/3

So our equation is y = -1/3x - 3

8 0
2 years ago
What can you say about the y-values of the two functions f(x)=-5^x +2 and g(x)=-5x^2+2?
Kryger [21]

Answer:

B) The maximum y-value of f(x) approaches 2

C) g(x) has the largest possible y-value

Step-by-step explanation:

f(x)=-5^x+2

f(x) is an exponential function.

Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞

Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→

Lim x→ -∞ f(x) = 2

Then the maximun y-value of f(x) approaches 2


g(x)=-5x^2+2

g(x) is a quadratic function. The graph is a parabola

g(x)=ax^2+bx+c

a=-5<0, the parabola opens downward and has a maximum value at

x=-b/(2a)

b=0

c=2

x=-0/2(-5)

x=0/10

x=0

The maximum value is at x=0:

g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2

The maximum value of g(x) is 2

7 0
4 years ago
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