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VMariaS [17]
3 years ago
14

Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conf

erence games. y = 40x − 25 and y = 35x − 5 (x = total games and y = amount earned) Beth determined that at 135 games, the referee would earn the same salary for each conference game. Is she correct?
Mathematics
1 answer:
notka56 [123]3 years ago
6 0

Answer:

She is incorrect

Step-by-step explanation:

Step 1: substitute

135 into x in both equations

Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect

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Let g(x) = – x^2 + 4x + 3. Find and simplify g(-3).​
Evgen [1.6K]

Steps to solve:

g(x) = – x^2 + 4x + 3 when g(-3).

~Substitute x with -3.

g(-3) = -(-3)^2 + 4(-3) + 3

~Simplify

g(-3) = -9 - 12 + 3

~Simplify using PEMDAS

g(-3) = -18

Best of Luck!

7 0
3 years ago
Read 2 more answers
If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a
Crank

Answer:

m_2 = -\frac{3}{4} -- (a)

m_2 = -\frac{7}{3} -- (b)

m_2 = -\frac{1}{4} --- (c)

m_2 = -3 -- (d)

Step-by-step explanation:

Given

a.\ m = \frac{4}{3}

b.\ m = \frac{3}{7}

c.\ m = 4

d.\ m = \frac{1}{3}

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

m_2 = -\frac{1}{m}

This formula will be applied in solving these questions.

a.\ m = \frac{4}{3}

m_2 = -\frac{1}{m}

Substitute 4/3 for m

m_2 = -\frac{1}{4/3}

Express as a proper division

m_2 = -1/ \frac{4}{3}

Convert to *

m_2 = -1* \frac{3}{4}

m_2 = -\frac{3}{4}

b.\ m = \frac{3}{7}

m_2 = -\frac{1}{m}

Substitute 3/7 for m

m_2 = -\frac{1}{3/7}

Express as a proper division

m_2 = -1/ \frac{3}{7}

Convert to *

m_2 = -1* \frac{7}{3}

m_2 = -\frac{7}{3}

c.\ m = 4

m_2 = -\frac{1}{m}

Substitute 4 for m

m_2 = -\frac{1}{4}

d.\ m = \frac{1}{3}

m_2 = -\frac{1}{m}

Substitute 1/3 for m

m_2 = -\frac{1}{1/3}

Express as a proper division

m_2 = -1/ \frac{1}{3}

Convert to *

m_2 = -1* \frac{3}{1}

m_2 = -\frac{3}{1}

m_2 = -3

4 0
3 years ago
three times the sum of a number and 4 is 8 less than one-half the number. write and solve an equation to find the answer
garri49 [273]

3(x + 4) = 1/2x - 8

...multiply 3

3x + 12 = 1/2x - 8

...subtract 1/2x

2.5x + 12 = -8

...subtract 12

2.5x = -20

...divide by 2.5

x = -8

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3 years ago
HELLPP 8 MINUTES LEFT!!!!!!!!For the following graph, identify the intervals of increase
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Answer:

it is b

Step-by-step explanation:

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Look at the figure shown below: Which step should be used to prove that point A is equidistant from points C and B?
kobusy [5.1K]

Answer:

Combine points A with C and A with B. Consider ΔABD and ΔACD:


1. AD is common side, then  AD\cong AD;


2.   CD\cong BD  - given in the diagram;


3.  \angle ADB\cong \angle ADC .


By SAS Postulate,  \triangle ABD\cong \triangle ACD . Congruent triangles have congruent corresponding sides and congruent corresponding angles, so  AC\cong AB .


From this proof you can see that correct choice is option D (In triangles ABD and ACD, two sides and an included angle are equal.)



Step-by-step explanation:


3 0
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