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3 years ago

4v+1<4-7 for inequalities

1 answer:

6 0

4 × v + 1 - (4 - 7) < 0

4(v) + 1

Divide (÷) each side side '4'

Then subtract (-) 1 from each side

v < -1

Now we're looking for then inequality plot in: 4.000v + 4.000 < 0

Therefore, your answer would have to be
" x < -1" (:

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An angle measures 42° more than the measure of its complementary angle. What is the measure of each angle?

Vanyuwa [196]

Answer:

24° and 66°

Step-by-step explanation:

Angle 1 = x

Angle 2 = x + 42°

x + x + 42° = 90°

Subtract 42° from both sides and add

2x = 48°

Divide by 2

x = 24°

24° and 66°

Hope this was useful to you!

3 0

3 years ago

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Given that the prime factorisation of 198 is 2x(3×3)x11. State the minimum integer value of

mylen [45]

Answer:

Step-by-step explanation:

198 = 2×3²×11

For 198n to be a perfect square, each prime factor must have an even exponent. So the smallest 198n would be:

198n = 2²×3²×11²

198n = 4356

n = 22

7 0

3 years ago

Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r

kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours) Dinghy Rowboat Labor Available

Metal Work 2 3 120

Painting 2 2 110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = $2x+3y$

So, total hours for Painting = $2x+2y$

So, equation becomes:

$2x+3y\leq 120$

$2x+2y\leq 110$

$x\geq 0$

$y\geq 0$

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0

3 years ago

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Trava [24]

Answer:

y=4x+2 or f(x)=4x+2

Step-by-step explanation:

This is because the equation format for a line is y=mx+b, the slope is m and the y-intercept is b. So all you have to do is fill it out to get y=4x+2. Or the other way I listed the equation is right too. Hope this helps!

6 0

2 years ago

Read 2 more answers

Need help with this problem for my cousin

yKpoI14uk [10]

You have separated the figure into three (3) parts. There are two squares (or rectangles on the bottom. Subtract 5 from 8 to find out the length of the side (right side). 8-5=3. Then subtract 3 from 8 (8-3=5). The new length is 5 ft. 5 multiplied by 5 is the area of one of the squares on the bottom (25 ft. squared). Multiply that by two to find the area of both the squares on the bottom (50 ft. squared).

There's also a rectangle on the top. The base is 15 ft. and the height is 3 ft. Remember that you subtracted 5 from 8 to find out the area of the two bottom squares. 15 multiplied by 3 is 45 (ft.)

Add 45 to 50 to get the area of the entire figure. (45+50=95 or 95 ft. squared).

95 ft. squared is the area of the entire figure. Hope this helped you.

3 0

3 years ago