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3 years ago

Solve the inequality. Negative 3 x + 6 greater-than negative 2

Mathematics

1 answer:

slavikrds [6]3 years ago

7 0

Answer:

$x < 2 \frac{2}{3}$

Step-by-step explanation:

The symbol for greater than is '>'.

-3x +6 > -2

Bring constants to one side:

-3x > -6 -2

Simplify:

-3x > -8

Divide both sides by -1, change sign:

3x < 8

Divide by 3 on both sides:

$x < \frac{8}{3} \\ x < 2 \frac{2}{3}$

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Evaluate the expression: v ? w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2> . If the answ

Snezhnost [94]

Answer:

-13

Step-by-step explanation:

Given are two vectors v and w.

v=(6,7,-3) and

w=(-7,5,2)

We are to find the dot product of v.w

We have

Dot product is obtained by multiplying corresponding pairs and adding them

Here we have

v.w=6(-7)+7(5)-3(2)

=-13

7 0

3 years ago

Question 3 of 10 What is the solution to this equation? 4(x-8) + 10 = -10 O A. x= 3 OB. x = 5 O c. x=2 O D. x= 4

krek1111 [17]

Answer:

O A. x = 3

Step-by-step explanation:

4(x - 8) + 10 = -10

4x - 32 + 10 = -10

4x = 12

x = 3

5 0

2 years ago

write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

Answer:

$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ add 9 to both sides

$7x+9=2y$ divide both sides by 2

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

$-4=14+b$ subtract 14 from both sides

$-18=b\to b=-18$

Finally we have the equation:

$y=\dfrac{7}{2}x-18$

8 0

3 years ago

Find the volume of the figure. Round answer to nearest hundredths place.

nalin [4]

Answer: 540 nearest hundred is 500

Step-by-step explanation:

I multiplyed them together to get the answer.

7 0

2 years ago

Read 2 more answers

Please help meeee!!!!!!!!

ivanzaharov [21]

Answer:

$840$

Step-by-step explanation:

This is a good example of permutations. For the first slot on his shelf, Dylan has 7 trophies to choose from. Then 6, 5, and so on. Since he is only fitting 4 trophies on his shelf, we only continue until we have the slots filled. Thus, we have $7\cdot 6 \cdot 5\cdot 4=\boxed{840\:\text{ways}}$ to do so.

*Note: We do not divide by $4!$ because in this case, order matters. A different order of the same four books still produces different arrangements, so the order matters.

6 0

3 years ago