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zaharov [31]
3 years ago
11

2 Points What is the solution to this equation? 4x + 16 - X= 22 + 6

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

Answer:

x=12/5

Step-by-step explanation:

4x + 16 - x= 22 + 6

5x+16=28

5x=28-16

5x=12

x=12/5

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Find the slope of the line passing through the points (-8, 3) and (7,3)
Aliun [14]

Answer:

0 I think??

Step-by-step explanation:

M=\frac{x2-x1}{y2-y1}

M=\frac{7-(-8)}{3-3}

M=\frac{15}{0}

M=0

5 0
3 years ago
For f(x)=1/x^2-3, find<br> a) f(3)<br> b) f(2+h)<br> Show/explain work
valentina_108 [34]

f(x)=\dfrac{1}{x^2-3}\\\\a)\ f(3)\to\text{put x=3 to the equation of the function f}\\\\f(3)=\dfrac{1}{3^2-3}=\dfrac{1}{9-3}=\dfrac{1}{6}\\\\Answer:\ \boxed{f(3)=\dfrac{1}{6}}\\\\b)\ f(2+h)\to\text{put x=2+h to the equation of a function f}\\\\f(2+h)=\dfrac{1}{(2+h)^2-3}\ \ \ |\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\dfrac{1}{2^2+2(2)(h)+h^2-3}=\dfrac{1}{4+4h+h^2-3}=\dfrac{1}{h^2+4h+1}\\\\Answer:\ \boxed{f(2+h)=\dfrac{1}{h^2+4h+1}}

6 0
3 years ago
4 students spent $12 on School lunch at this rate find the amount 10 students would spend on the same school lunch
Vedmedyk [2.9K]
10 students would pay $30
7 0
3 years ago
Identify the sine function with the given attributes.
Thepotemich [5.8K]

Answer:

<em>Last option </em>

f(t)=sin(\pi(t -3)) + 4

Step-by-step explanation:

The general sine function has the following form  

y = Asin(bt-\phi) + k

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.  

\frac{2\pi}{b} is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

\phi phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

A =1

\frac{2\pi}{b}=2

b=\pi

\phi=3

k=4

Then the function is:

f(t)=sin(\pi(t -3)) + 4

The answer is last option

4 0
3 years ago
Give the domain and range.
yaroslaw [1]

Given:

The graph.

To find:

The domain and range of the graph.

Solution:

The three points on the graph are (-3,3), (0,0) and (3,3).

We know that, domain is the set of input values or x-values. So,

Domain = {-3,0,3}

We know that, Range is the set of output values or y-values. So, elements for range are 3,0,3. But a set contains only distinct elements. So, consider 3 once in range.

Range = {0,3}

Therefore, the correct option is b.

8 0
3 years ago
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