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nikklg [1K]
2 years ago
12

I need some help with these two questions please help!

Mathematics
1 answer:
antoniya [11.8K]2 years ago
6 0

Answer:

Step-by-step explanation:

-10.6*0.5=m+11.7

-5.3=m+11.7

-5.3-11.7=m

-17=m

14.2=2(-5.8+t)

14.2=-11.6+2t

14.2+11.6=2t

25.8=2t

25.8/2=t

12.9=t

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The table below represents a linear function f(x) and the equation represents a function g(x):
Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

m = \frac{f(0) - f(1)}{0 - 1}

m = \frac{f(0) - f(1)}{- 1}

Substitute values for f(0) and f(1)

m = \frac{-1 - 7}{- 1}

m = \frac{-8}{- 1}

m = 8

The slope of g(x) can be gotten using the following comparison

g(x) = mx + b

m \to slope

So:

g(x) = 3x -2

m = 3

m_{f(x)} > m_{g(x)}

Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

f(0) = -1

From the equation of g(x)

g(x) = 3x -2

g(0) = 3*0-2

g(0) =-2

<em></em>f(0) > g(0)<em></em>

6 0
3 years ago
Value expression of 3^5 / 3^3
suter [353]

Answer:

9

Step-by-step explanation:

3^5 = 243

3^3 = 27

243 / 27 = 9

Hope this helps :)

3 0
3 years ago
What is the x-intercept of the line 10x-5y=40
jasenka [17]

Answer:

4

Step-by-step explanation:

The x-intercept occurs when y=0, if you think about it graphically.  Plug y=o into your equation:

10x - 5(0) = 40

10x = 40 (divide each side by 10)

x=4

8 0
3 years ago
How do you do this promblem?
Sladkaya [172]
I don’t know but I need to answer a question so this is my answer
7 0
3 years ago
Read 2 more answers
in one day Annie traveled 5 times the sum of the number of hours Brian traveled and two together they travel 20 hours find this
Stels [109]

Use the distributive property:

5*b+5*2+b=20

5b+10+b=20.

Combine like terms:

6b+10=20.

Subtract 10 from both sides:

6b+10-10=20-10

6b=10.

Divide both sides by 6:

6b/6=10/6

b=5/3=1 2/3.

Brian travels 1 2/3 hours. This means Annie travels

5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.

Hope this helps!

3 0
3 years ago
Read 2 more answers
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