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Nat2105 [25]
3 years ago
10

Is (-2,5) a solution to the inequality y<-3x+4 show steps

Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0
We start with (-2,5) for y\ \textless \ -3x+4.  y\ \textless \ -3x+4&#10;&#10;5\ \textless \ 6+4&#10;&#10;5\ \textless \ 10  Yes.  This is true.
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Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most
romanna [79]

 4x-7\leq 9  inequality could be used to find the number of models Walt builds. Correct option B).

<u>Step-by-step explanation:</u>

Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:

Let the  the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.

⇒ 4x-7

But , according to question Dwight builds at most 9 models i.e.

⇒ 4x-7\leq 9

⇒ 4x\leq 16

⇒ \frac{4x}{4}\leq \frac{16}{4}

⇒ x\leq 4

Therefore ,  4x-7\leq 9  inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .

4 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a
Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.  

We know that height of sphere is equal to its radius. This means that r=h.

\text{Volume of sphere}=\frac{4}{3}\pi r^3  

\text{Volume of cylinder}=\pi r^2 h

Using r=h, we will get:

\text{Volume of cylinder}=\pi r^2\cdot r

\text{Volume of cylinder}=\pi r^3

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is \frac{4}{3} times volume of cylinder.

\pi r^3=21

\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21

\frac{4}{3}\pi r^3=4\cdot 7

\frac{4}{3}\pi r^3=28

Therefore, the volume of the sphere would be 28 cubic meters.

4 0
3 years ago
Read 2 more answers
I've got a math test wish me luck​
kaheart [24]

Step-by-step explanation:

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6 0
3 years ago
100 points<br> (algebra one)<br> describe and correct the error in comparing the graphs
Pepsi [2]

Answer:

The error made is that the graph of y=x^{2} +3 is a vertical translation up by 3, instead of down.

Step-by-step explanation:

Exponential functions, when they are graphed, use the function f(x)=a(x-h)^{2} +k.

In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, y=x^{2}. So, the translation is actually 3 units up compared to the graph of y=x^{2}.

Hope this helps and have an amazing day!! ❤

3 0
3 years ago
Find 1 rational number between -2/9 and 0
sergey [27]

Answer:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

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