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SVEN [57.7K]
3 years ago
11

Solve the compound inequality.

Mathematics
1 answer:
andreev551 [17]3 years ago
5 0

Answer: 2u+4 <8= u<2

2u+4<8

Step 1: Subtract 4 from both sides.

2u+4−4<8−4

2u<4

Step 2: Divide both sides by 2.

2u/2<4/2

u<2

<u>4u-53 15</u>

=4u−795

Step-by-step explanation:

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Angle A and angle C are vertical angles. If m∠A=(3x+7)∘ and m∠C=(x+53)∘, what is the value of x
777dan777 [17]

Since it is a given that the angles are vertical, then that means they have to be congruent or = to each other so we can now set up an equation:

3x+7=x+53

Now we need to get the variable alone on one side so subtract 7 from the left (remember what you do, you must do to both sides)

3x=46

Now we can divide by three to get x alone

x=15.333333333 or rounded to 15.33


6 0
3 years ago
Read 2 more answers
Find the equation of a line parallel to y=4x−4 that contains the point (−2,0). Write the equation in slope-intercept form.
Allushta [10]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

y=\stackrel{\stackrel{m}{\downarrow }}{4} x-4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 4 and passes through (-2 , 0)

(\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{4}(x-\stackrel{x_1}{(-2)}) \\\\\\ y=4(x+2)\implies y=4x+8

8 0
2 years ago
-2 1/3 - (-5) = []<br><br> A. 2 2/3<br> B. 3 1/3<br> C. 3 2/3<br> D. -7 1/3
iren [92.7K]

Answer:

2 \ \frac{2}{3}

Step-by-step explanation:

−2 \frac{1}{3} −(−5) \\ =− \frac{7}{3} −(−5) \\ = \frac{ - 7}{3} −(−5) \\ = \frac{8}{3}  \\ =2 \ \frac{2}{3}

7 0
2 years ago
Read 2 more answers
Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1030 was collected. First
Marrrta [24]

Answer:

170 tickets.

Step-by-step explanation:

Write formulas for the question.

N_2+N_3=400

2N_2+3N_3=1030

Then use substitution.

N_2=-N_3+400

2(-N_3+400)+3N_3=1030

-2N_3+800+3N_3=1030

N_3=230

So number of $3 tickets sold is 230. But they ask for the tickets bought in advance (i.e. the tickets sold for $2). Use substitution again.

N_2+230=400\\N_2=400-230\\N_2=170

6 0
3 years ago
WILL MARK BRAINLIEST!!! A pyrotechnician plans for two fireworks to explode together at the same height in the air. They travel
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Answer:

What can u show pic

Step-by-step explanation:

3 0
3 years ago
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