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taurus [48]
3 years ago
15

Without drawing the graph of the equation, determine how many points the given equation have in common with the x-axis and where

is the vertex in relation to the x-axis?
y = -2x^2 + x + 3

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0
Remark
It's asking you to complete the square to find the vertex. 

Solve
y = -2x^2 + x + 3 Put brackets around the first 2 terms.
y = (-2x^2 + x) + 3    Pull out the 2.
y = -2(x^2 - 1/2 x) + 3 Be especially observant of the sign on 1/2x Divide the middle term's number by 2 and square it. 
y = -2(x^2 - 1/2 x + [(1/2) / 2]^2 ) + 3 [1/2 divided by 2 is 1/4. (1/4)^2 = 1/16; 2*(1/16) = 1/8
y = - 2(x^2 - 1/2 x + (1/4)^2 ) + 3 + 1/8
y = -2(x - 1/4)^2 + 3 1/8

Comment
Answer to your question. The maximum value (3 1/8) is above the y axis. That means the graph of the equation crosses the x axis twice. I'm going to include the graph because in answering the question, there is no harm in seeing the graph.

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5 0
3 years ago
She has one board that is 2 m 3 cm long and another that is 2 m 98 cm long. How long are the two boards together in meters?
miss Akunina [59]

Answer:

5 meters and 1 cm

Step-by-step explanation:

well their are 100 cm in 1 meter

so add 2m and 3 cm to 2 m and 98 cm

to get 4 m and 101 cm what is 5 meters and 1 cm

4 0
3 years ago
The question is in the photo.
netineya [11]

Answer:

1

0.8

0.4

Step-by-step explanation:

y = 5x

Substituting '5':

5 = 5x

x = 5/5

x = 1

Substituting 4:

4 = 5x

x = 4/5

x = 0.8

Substituting 2:

2 = 5x

x = 2/5

x = 0.4

5 0
2 years ago
Read 2 more answers
The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –1 6 0 4
iren2701 [21]

I think you need to retype this one. The formatting makes this question difficult to understand.

8 0
3 years ago
20) Which of the following is in ascending order?
Lelechka [254]
<h3><u>Answer:- </u></h3>

\longrightarrow \sf h)  \:\:\dfrac{2}{3},0.67,70\%,0.8

<h3><u>Solution:-</u></h3>

Let us first write all the provided number in decimal

\quad\leadsto\sf  \dfrac{2}{3}= 0.\bar{66}

\quad\leadsto\sf 70 \% =  \dfrac{70}{100}

\quad\quad\quad\implies\sf  0.7

\quad\leadsto 0.67

\quad\leadsto 0.8

<u>Comparing all the numbers </u><u>now </u><u>-</u>

\longrightarrow \sf 0.\bar{66}

\longrightarrow\sf \dfrac{2}{3}

6 0
2 years ago
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