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3 years ago

What is the vertex of y=-2x^2+10x+1 and is it a minimum or maximum

Mathematics

1 answer:

Reika [66]3 years ago

7 0

Answer:

Step-by-step explanation:

it is maximum.

when leading coefficient of x² is negative,

It is downward parabola.

y=-2x²+10x+1

=-2(x²-5x+(-5/2)²-(-5/2)²)+1

=-2(x-5/2)²+2×25/4+1

=-2(x-5/2)²+25/2+1

=-2(x-5/2)²+27/2

maximum value of y is 27/2 and is attained at x=5/2

vertex is (5/2,27/2)

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Halp how to factor 4x-2

denis-greek [22]

Answer:

2(2−1)

Step-by-step explanation:

4−2

Grouping

Common factor

4−2

2(2−1)

Solution

2(2−1)

7 0

2 years ago

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How many triangles can be made with the angle 70°, 70°, and 70°

seraphim [82]

Hey there!
Your answer is 0.
All the angles of a triangle must add up to 180 degrees.
However, the sum of these angles is not equal to 180 degrees.
70 + 70 + 70 = 210
210 is not equal to 180.
Hence, no triangles can be made using the angles 70, 70, and 70.
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2 years ago

Number of Boxes Cost 18 $7.38 27 $15.39 30 $13.50 36 $18.36 40 $18.80 An office is restocking office supplies. The table shows t

malfutka [58]

Answer:

18 clips for $7.38 is the best value deal.

Step-by-step explanation:

An office is restocking office supplies. The table below shows the cost for the number of boxes of paperclips. We need to find what is the best value is.

To find the best value for money we can check the price of each paperclip.

To check the price of each paper clip we can use the following formula:

$\text{Price of each paper clip} =\frac{\text { price of the box }} {{\text {number of clips in the box }}}$

Now we can calculate the best value deal as follows:

$\text{Price of each clip is box 1}=\frac{7.38}{18}=0.41$$

$\text{Price of each clip is box 2}=\frac{15.39}{27}=0.57$$

$\text{Price of each clip is box 3}=\frac{13.50}{30}=0.45$$

$\text{Price of each clip is box 4}=\frac{18.36}{36}=0.51$$

$\text{Price of each clip is box 5}=\frac{18.80}{40}=0.47$$

So, from looking at the prices of each paperclip we can conclude that the 18 clips for $7.38 is the best value deal.

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2 years ago

Solve 4/9x+7=1/2. Solve 1/8x−12=3/4.

Elenna [48]

$\# 1 \\\\ \frac{4}{9}x+7=\frac{1}{2} \\\\ \frac{4x}{9}=\frac{1}{2}-7^{(2} \\\\ \frac{4x}{9}=\frac{1-14}{2} \\\\ \frac{4x}{9}=-\frac{13}{2} \\\\ 4x=-\frac{9*13}{2} \\\\ x=-\frac{\frac{9*13}{2}}{4} \\\\ x=-\frac{117}{2}*\frac{1}{4} \\\\ \boxed{x=-\frac{117}{8}=-14\frac{5}{8}}$

$\#2 \\\\ \frac{1}{8}x-12=\frac{3}{4} \\\\ \frac{1}{8}x=\frac{3}{4}+12^{(4} \\\\ \frac{x}{8}=\frac{3+48}{4} \\\\ \frac{x}{8}=\frac{51}{4} \\\\ x=\frac{\not8*51}{\not4} \\\\ x=2*51 \\\\ \boxed{x=102}$

4 0

2 years ago

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Hey can you please help me out posted picture

abruzzese [7]

We have for this case:
For each language we have:
Number of people who speak Spanish:
Spanish = 8 + 4 = 12
Number of people who speak Chinese:
Chinese = 5 + 6 = 11
Number of people who speak both languages:
Both = 3 + 2 = 5
Adding we have:
12 + 11 + 5 = 28
Answer:
28
option A

7 0

2 years ago

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