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Nuetrik [128]
2 years ago
6

Look at the expression 1/2 (c + 8). Tell whether each statement about the expression is True or False. 50 points if right and if

right ill mark brainiest. here is a picture to help please do it right for test I need right answer right away please try to don't guess please.

Mathematics
2 answers:
serious [3.7K]2 years ago
7 0

Answer:

<h3>a. True</h3>

\frac{1}{2} (c + 8) \: and \:  \frac{c + 8}{2}  \\ are \: equivalent \: expression

<h3>b. True</h3>

\frac{1}{2} (c + 8) \: and \:  \frac{1}{2} c + 4 \\ are \: equivalent \: expression

<h3>c. False</h3>

The \: only \: terms \: in \:  \frac{1}{2} (c + 8) \: are \:  \frac{c}{2}  \: and \: 4, \\ not \: c \: and \: 8

<h3>d. True</h3>

You \: can \: multiply \: c \: and \: 8 \: by   \\ \frac{1}{2}  \: in \:  \frac{1}{2} (c + 8) \: to \: find \: an \\ equivalent \: expression

Alika [10]2 years ago
4 0

Answer:

a)true becuase ×1/2 and ÷2 are doing the same thing

b) true bc they simplified the equation

c)true bc a term is a number or letter and 1/2 is the coefficient

d) true bc thats what the equation is telling you to do

Step-by-step explanation:

I hope that helped

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Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat
zavuch27 [327]

Answer:

The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term x^2, which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently:

We recall that the x-position of the vertex for a quadratic function of the form f(x)=ax^2+bx+c is given by the expression: x_v=\frac{-b}{2a}

Since in our case a=1 and b=5, we get that the x-position of the vertex is: x_v=\frac{-b}{2a} \\x_v=\frac{-5}{2(1)}\\x_v=-\frac{5}{2}

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = -5/2:

y_v=f(-\frac{5}{2})\\y_v=(-\frac{5}{2} )^2+5(-\frac{5}{2} )+4\\y_v=\frac{25}{4} -\frac{25}{2} +4\\\\y_v=\frac{25}{4} -\frac{50}{4}+\frac{16}{4} \\y_v=-\frac{9}{4}

This is a negative value, which points us to the case in which there must be two real solutions to the equation (two x-axis crossings of the parabola's branches).

We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the x_v=-\frac{5}{2}. Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.

When evaluating the function at these points, we notice that two of them render zero (which indicates they are the actual roots of the equation):

f(-1) = (-1)^2+5(-1)+4= 1-5+4 = 0\\f(-4)=(-4)^2+5(-4)_4=16-20+4=0

The actual graph we can complete with this info is shown in the image attached, where the actual roots (x-axis crossings) are pictured in red.

Then, the two roots are: x = -1 and x = -4.

5 0
3 years ago
Anissa is considering buying her first home. The house she is interested in buying is priced at $139,000. Anissa qualifies for a
vazorg [7]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
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Find the value of 48 - 32 = 4.2.<br> 8
MariettaO [177]

Answer:

48 - 16 = 32

Step-by-step explanation:

Use the PEMDAS method to help you solve the problem.

Parenthesis

Exponents

Multiply (Left to right)

Divide (Left to right)

Add (Left to right)

Subtract (Left to right)

32 ÷ 4 = 8

8 x 2 = 16

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3 0
3 years ago
I really need help with 1 and 2 please help me I begg you
Lera25 [3.4K]
1.) So 1/5 of a relay, or r, is 3/4 of a mile.
1/5r = 3/4
Multiply 5 on both sides of the equation.

r = 15/4

The relay was 15/4 of a mile or 3 3/4 of a mile.

2.) No, it is not because the sum of the digits are not divisible by 3.

Hope this helps! :)
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Answer:

D, John did not make a mistake!

Step-by-step explanation:

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