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BabaBlast [244]
3 years ago
7

PLEASE HELP WITH MATH QUESTION!! EXPLANATION NEEDED TOO!

Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Answer:

Matt should have factored out the leading coefficient 2 on the second step before completing the square

Step-by-step explanation:

To complete the square, you must first factor the leading coefficient from the first two terms.

y = 2x² − 10x − 4

y = 2 (x² − 5x) − 4

y = 2 (x² − 5x + 25/4 − 25/4) − 4

y = 2 (x² − 5x + 25/4) − 25/2 − 4

y = 2 (x − 5/2)² − 33/4

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Slav-nsk [51]

Answer:

B

Step-by-step explanation:

20*3=60

20*7=140

20*11=220

8 0
3 years ago
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What is the equation, in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4?
Arturiano [62]
Y - 6 = 4x
y = 4x + 6
4 0
3 years ago
Can a triangle be made with sides of length 7, 10, and 20 units?
Anarel [89]
It can't, in triangle sum of 2 sides have to be more than 3rd side, and we know that 7+10 isn't more than 20 I also add picture to make it more clear, circles represents range of each side

8 0
3 years ago
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Is this relation a function? Explain how you know.
vodka [1.7K]

Answer:

The relation is a linear function with the equation: y = -6/5x + 3/5

Step-by-step explanation:

                                            Question 5)

The given graph is a straight line.

We know that the graph of a linear function is a straight line that can be written in the form

y = mx+b

where m is the slope and b is the y-intercept

The slope of the line can be determined by taking two points

(3, -3)

(-2, 3)

Finding the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(3,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:3\right)

m=\frac{3-\left(-3\right)}{-2-3}

m=-\frac{6}{5}

From the graph, the y-intercept can be obtained by setting x=0 and check the corresponding y-value of y.

or substituting m = -6/5 and (3, -3) in the slope-intercept form to determine y-intercept 'b'.

y = mx+b

-3\:=-\frac{6}{5}\left(3\right)\:+\:b

-\frac{18}{5}+b=-3

b=\frac{3}{5}

now substituting m = -6/5 and b = 3/5 in the slope-intercept form to determine the equation of the linear function

y=mx+b

y = -6/5x + 3/5

Therefore, the relation is a linear function with the equation: y = -6/5x + 3/5

7 0
3 years ago
Box 1 contains 2 red balls and 1 blue ball. Box 2 contains 3 blue balls and 1 red ball. A coin is tossed. If it falls heads up,
vlada-n [284]

Answer:

\frac{17}{24}

Step-by-step explanation:

Given that Box 1 contains 2 red balls and 1 blue ball. Box 2 contains 3 blue balls and 1 red ball. A coin is tossed. If it falls heads up, box 1 is selected and a ball is drawn. If it falls tails up, box 2 is selected and a ball is drawn.

P(selecting Box 1) = 0.5 = P(selecting II box) (assuming a fair coin is tossed)

P(Red/Box I ) = \frac{2}{2+1} =\frac{2}{3}

P(Red/Box II) = \frac{3}{3+1} =\frac{3}{4}

Box 1 and Box 2 are mutually exclusive and exhaustive events.

So probability of selecting a red ball.

=  probability of selecting a red ball from box 1 +  probability of selecting a red ball frm box 2

=P(B1)*P(Red/B1) + P(B2)*P(Red/B2)\\= \frac{1}{2} * \frac{2}{3} + \frac{1}{2} * \frac{3}{4} \\= \frac{1}{3} + \frac{3}{8} \\= \frac{17}{24}

7 0
4 years ago
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