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zimovet [89]
3 years ago
6

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

x ≥ −5 and x < 4

Step-by-step explanation:

-4x + 1 ≤ 21 and 5x + 2 <  22

5x + 2 < 22 =<u> x < 4</u>

We can plug it in: 5 x 3 + 2 < 22 = <u>17 < 22</u>

-4x + 1 ≤ 21 = x= -5 and lower

Plug it in: -4 x -5 + 1 ≤ 21 = 21 ≤ 21 = <u>x ≥−5</u>

So both answers would be:

x ≥−5 for -4x + 1 ≥ 21

x < 4 for 5x + 2 <  22

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bagirrra123 [75]
Let us assume the cost of a soft drink = x dollars
Value of the gift certificate that Angela had = $5
Cost of the movie ticket = $10
Cost of a medium popcorn = $5.50
Then
27.90 + 5 = 2(10) + 2(5.50) + x
32.90 = 20 + 11 + x
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From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the first option or $1.90.
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3 years ago
a spherical ball with a volume of 7776pi cm cubed is packaged in a box that is in the shape of a cube. the edge length of the bo
Elenna [48]

Answer:

that is the solution to the question

3 0
4 years ago
Answer as soon as possible
alexandr1967 [171]

Answer:

C −2a^3+9a^2+45a+6ab^2+18b^2

Step-by-step explanation:

(a+3) ( −2a^2+15a+6b^2)

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a ( −2a^2+15a+6b^2)+3  ( −2a^2+15a+6b^2)

−2a^3+15a^2+6ab^2 −6a^2+45a+18b^2

Combine like terms

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3 0
3 years ago
Read 2 more answers
Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
3 years ago
ON TIMER!!!
Anton [14]

Answer:

I'm sure it is 180 degrees

8 0
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