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3 years ago

7x−4≥−15+2x solve in interval notation

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

Answer:

[-11/5,∞)

Step-by-step explanation:

1. Add 4 to both sides: 7x-4+4≥-15+2x+4

2. Simplify: 7x≥2x-11

3. Subtract 2x from both sides: 7x-2x≥2x-11-2x

4. Simplify: 5x≥-11

5. Divide both sides by 5: 5x/5≥-11/5

6. Simplify: -11/5

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8/9 x 1/2 show your work

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3 years ago

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Is 11/16 less than 3/8

Brilliant_brown [7]

$\dfrac{11}{16} \ \textless \ \dfrac{3}{8}-FALSE\\\\because\\\\\dfrac{3}{8}=\dfrac{3\cdot2}{8\cdot2}=\dfrac{6}{16} \ \textless \ \dfrac{11}{16}$

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3 years ago

Miss Sullivan owns a farm where she has a total of 28 birds and dogs the total number of legs on those animals is 70 how many do

Sergeeva-Olga [200]

Answer:

21 birds and 7 dogs

Step-by-step explanation:

Represent Birds with B and Dogs with D

$B + D = 28$ ----- Total Animals

A bird has 2 legs and a dog has 4, so:

$2B + 4D = 70$ ---- Legs

Required

Solve for D and B

Make D the subject in the first equation

$D = 28 - B$

Substitute 28 - B for D in the second

$2B + 4(28 - B) = 70$

$2B + 112 - 4B = 70$

Collect Like Terms

$2B - 4B = 70 - 112$

$-2B = -42$

Solve for B

$B = -42/-2$

$B = 21$

Recall that: $D = 28 - B$

$D = 28 - 21$

$D = 7$

Hence, there are 21 birds and 7 dogs

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3 years ago

What is the square root of 61 to the nearest integer? A. 7 B. 31 C. 8 D. 9

gregori [183]

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3 years ago

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Write the equation of a line parallel to 3x - y= -2 and passes through the point (0, -3).

adoni [48]

Answer:

The equation of a line parallel to 3x - y= -2 and passes through the point (0, -3) is -3x + y + 3 = 0

Step-by-step explanation:

Here , the given equation of line 1 : 3x - y= -2

The Slope form of the equation is y = m x + c

⇒3x + 2 = y , where m = 3 is the slope for the line 1

Now, as the Line 2 is parallel to Line 1,

Slope of Line 1 (m1) = Slope of Line 1 (m2)

Hence, the slope of line 2 = 3

Now, by POINT SLOPE FORMULA

The equation of line with point (x0, y0) is given as

(y - y0) = m (x - x0)

⇒ For the point (0,-3) the equation of Line 2 is:

y - (-3) = 3 ( x-0)

or, y + 3 = 3x ⇒ -3x + y + 3 = 0

Hence, the equation of a line parallel to 3x - y= -2 and passes through the point (0, -3) is -3x + y + 3 = 0

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3 years ago