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2 years ago

Solve the inequality 4(x – 3) – 7 < 2(x – 3).

Mathematics

2 answers:

enot [183]2 years ago

4 0

Answer:

x < 13/2

Step-by-step explanation:

4(x-3) -7: 4x - 19

4x - 19 < 2x-6

4x - 19 + 19 < 2x - 6 + 19

4x < 2x + 13

4x - 2x < 2x + 13 - 2x

2x < 13

2x/2 < 13/2

x < 13/2

natima [27]2 years ago

3 0

Answer:

{x}\lt\frac{{13}}{{2}}

Step-by-step explanation:

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In the right triangle shown, A= 30° and AB = 8.

zloy xaker [14]

Answer:

$BC=4\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

$sin(30^o)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

we have

$AB=8\ units\\\\sin(30^o)=\frac{1}{2}$

solve for BC

$BC=sin(30^o)(AB)$

substitute the values

$BC=(\frac{1}{2})(8)$

$BC=4\ units$

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2 years ago

Factorise the following completely 3ax+2ay+6bx+4by

marissa [1.9K]

Answer:

(a+2b)(3x+2y)

Step-by-step explanation:

3ax+2ay+6bx+4by = a(3x+2y)+2b(3x+2y) = (a+2b)(3x+2y)

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3 years ago

Read 2 more answers

In the data set, what is the variance? 6 8 1 9 4

Juli2301 [7.4K]

The answer is s² ≈ 10.3

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3 years ago

Mrs Cobb makes and sells her own apple-cranberry juice. In pitcher A, she mixed 4

meriva

If you put them into fractions you get 4/3 and 3/2

Now let's give them the same denominator.

3*2=6 and vice versa

So let's multiply the numerators by the same numbers

4/3= 8/6

And 3/2 = 9/6

The second fraction has more parts cranberry so....
She you should ask for 3 cranberry cubes and 2 Apple cubes!

5 0

2 years ago

1. **What is the slope of a line that passes through the points (-1,30) and (4, 10)

tresset_1 [31]

Answer:

Slope = -4

Step-by-step explanation:

Given points are :

(-1,30) and (4, 10)

We need to find the slope of the line that passes through these points.

We know that, the formula for the slope of line is given by :

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10

Put values in the above formula.

$m=\dfrac{10-30}{4-(-1)}\\\\=\dfrac{-20}{5}\\\\=-4$

So, the slope of the line is -4.

8 0

2 years ago