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inna [77]
3 years ago
5

Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. A

fter 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob? $ per month
Mathematics
2 answers:
LuckyWell [14K]3 years ago
5 0

Answer:

Can you tell me the concept?

Step-by-step explanation:

JulijaS [17]3 years ago
5 0

Answer: $2

Step-by-step explanation:

If Jacob makes $174 every 3 months that is $58 per month

and Victoria makes $360 every 6 months that is $60 per month

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determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2
LuckyWell [14K]
Hmmm the y-intercept is at -2?  what does that mean?  well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at.  Let's assume a vertical parabola, in which case the squared variable is the "x".

\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
y=(x-1)^2-3
\end{cases}
6 0
4 years ago
Plsss help I know I’m asking a lot of questions
ivann1987 [24]

Answer:

2,4,6,8,10,12,14,16,18,20,22,24,26,28 for 2 3,6,9,12,15,18,21,24,27 for 3

Step-by-step explanation:

for both 6,12,18,24

3 0
3 years ago
Please hurry find the measure of P
Inessa [10]

Answer:

m∠P  = 65°

Step-by-step explanation:

An Isosceles triangle has two sides of equal length and two interior angles of equal measure.

Sum of interior angles of a triangle = 180°

If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O

⇒ m∠Q + m∠P + m∠O = 180

⇒ 50 + m∠P + m∠O = 180

⇒ m∠P + m∠O = 130

As m∠P ≅ m∠O:

⇒ m∠P  = 130 ÷ 2 = 65°

7 0
2 years ago
Read 2 more answers
Can you help me plss! ​
Ksivusya [100]

(1/3) × the cone's volume = The cylinder's volume.

Step-by-step explanation:

Step 1:

The volume of any cone is obtained by multiplying \frac{1}{3} with π, the square of the radius (r^{2}) and the height (h).

So the volume of the cone, V=\pi r^{2} \frac{h}{3}.

Step 2:  

The cylinder's volume is nearly the same as the cone but instead by multiplying \frac{1}{3} we multiply with 1.

So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder (r^{2}) and the height of the cylinder (h).

So the the cone's volume, V = \pi r^{2} h.

Step 3:

Now we equate both the volumes to each other.

The cone's volume : The cylinder's volume = \pi r^{2} \frac{h}{3}: \pi r^{2} h = \frac{1}{3} : 1.

So if we multiply the cone's volume with \frac{1}{3} we will get the cylinder's volume with the same dimensions.

5 0
3 years ago
Boris wants to buy new carpet for his living room floor. The floor is in the shape of a rectangle. Its length is 16 feet and its
Flura [38]
Use the are formula for a rectangle which is Length times Width to find the amount of square feet of carpeting.(16 times 14=224ft^2) Then you need multiply 224 by 12 because you have 224 square feet at $12 per square foot. So in the end it will cost $2688 to get the new carpet.
8 0
4 years ago
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