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2 years ago

12. Solve the following inequality.

Mathematics

1 answer:

Feliz [49]2 years ago

3 0

Answer:

C. The solution set is {x|x < 6}.

Step-by-step explanation:

Given :

7x + 4 < 46

Subtract 4 from both sides.

7x + 4 - 4 < 46 - 4
7x < 42

Divide 7 from both sides.

7x/7 < 42/7
x < 6

C. The solution set is {x|x < 6}.

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Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x rep

Ksenya-84 [330]

Answer:

Step-by-step explanation:

We are given two points. Let the points be A and B

A ( 8 , -2 ) ------> ( x1 , y1 )

B ( 12 , 4 ) ------> ( x2 , y2 )

Now, let's find the slope of the given points:

$slope \: = \frac{y2 - y1}{x2 - x1}$

plug the values

$= \frac{4 - ( -2)}{12 - 8}$

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

$= \frac{4 + 2}{12 - 8}$

Subtract the numbers

$= \frac{4 + 2}{4}$

Add the numbers

$= \frac{6}{4}$

Reduce the fraction with 2

$= \frac{3}{2}$

$= 1.5$

Hope this helps..

Best regards!!

8 0

3 years ago

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PLEASE HELP ASAP!! WILL MARK BRAINLIEST!!

kipiarov [429]

It’s B. Dan is 124 miles from home at noon and is traveling at 62 miles per hour

7 0

3 years ago

Write the equation of the line in fully simplified slope-intercept form.

PtichkaEL [24]

Answer:

Consider points (0, -5) and (-6, -1)

» General equation of a line:

${ \tt{y = mx + c}}$

m is slope
c is y-intercept

 Slope (m):

${ \tt{m = \frac{ - 1 - ( - 5)}{ - 6 - 0} }} \\ \\ { \tt{m = \frac{4}{ - 6} }} \\ \\ { \tt{m = - \frac{2}{3} }}$

 y-intercept (c):

${ \tt{y = mx + c}}$

consider point (0, -5)

${ \tt{ - 5 = c}} \\ { \tt{c = - 5}}$

Equation:

${ \boxed{ \tt{y = - \frac{2}{3} x - 5}}}$

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2 years ago

What is the product

Fynjy0 [20]

Answer:

in math its the answer to two numbers that are multiplied

Step-by-step explanation:

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3 years ago

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Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.

Serga [27]

Answer:

Yes

Step-by-step explanation:

ΔMNL ≅ ΔQNL by ASA or AAS

by ASA

Proof:

∠ LNM = ∠LNQ =90

LN = LN {Common}

∠MLN = ∠QLN {LN bisects ∠ L}

By AAS

∠Q + ∠QLN + ∠LNQ = 180 {Angle sum property of triangle}

∠Q + 32 + 90 = 180

∠Q + 122 = 180

∠Q = 180 -122 =

∠Q = 58

∠Q = ∠M

∠MNL =∠QNL = 90

LN = LN {common side}

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3 years ago