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Mekhanik [1.2K]
3 years ago
8

Simplify -6 x (-5) x 3 x (-2) x 4

Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer:

-720

Step-by-step explanation:

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X+5 divided by 3 is less than or equal to 2
hichkok12 [17]
\frac{x+5}{3}  \leq 2
times both sides by 3
x+5≤6
minus 5 both sides
x≤1
5 0
3 years ago
A is set of positive multiples of 5 less than 23
Juli2301 [7.4K]

9514 1404 393

Answer:

  {5, 10, 15, 20}

Step-by-step explanation:

Multiples of 5 are of the form 5n, where n is an integer. The ones of interest will satisfy ...

  0 < 5n < 23

  0 < n < 4.6

That is, the multiples of 5 we want are for values of n that are 1 through 4. The set is ...

  5 × {1, 2, 3, 4} = {5, 10, 15, 20}

3 0
3 years ago
Two sisters, Lily and Suri, have been saving money for college for the past several years. At the end of the first year, each si
andriy [413]

Answer:

1st year:

Lily:20

Suri:20

2nd year

L:20*3=60

S:20+80=100

3rd year

L:60*3=180

S:100+80=180

4th year

L 180*3=540

S 180+80=260

It will take Lily 4 years to hve more money saved than Suri

Step-by-step explanation:

8 0
3 years ago
Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2
kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is x=-83.25

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

(y - k)^{2}=4p(x - h)

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

x=y^{2} +18y-2

Convert to standard form

x+2=y^{2} +18y

x+2+81=y^{2} +18y+81

x+83=(y+9)^{2}

so

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

so

The vertex is the point (-83,-9)

step 2

we have

x+83=(y+9)^{2}

<em>Find the value of p</em>

4p=1

p=1/4

<em>Find the focus</em>

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

x=h-p

substitute

x=-83-1/4

x=-83.25

6 0
3 years ago
Evaluate the following expression:<br> 4 + (3x +y)<br> When x = 2 and y = 9
aev [14]
3 x 2 is 6 after that you jus add 6+9+4 which is 19
5 0
3 years ago
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