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3 years ago

How many solutions will the following system of linear equations have? –2x + 4y = –7 y= -1/2x + 5 A. 0 B. 1 C. 2 D. infinite

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

7 0

Answer:

B. 1

Step-by-step explanation:

they only cross at one point... look below

dsp733 years ago

6 0

ANSWER

B. 1

EXPLANATION

The given system of equations is;

–2x + 4y = –7

y= -1/2x + 5

We rewrite the first equation is slope intercept form:

4y = 2x–7

$y = \frac{1}{2}x - \frac{7}{4}$

The two equations have different slopes.

This means that they will intersect at one point in the XY plane.

Hence the system has a unique solution.

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Suppose a basketball player has made 390 out of 434 free throws. If the player makes the next 2 free throws, I will pay you $40.

alukav5142 [94]

Answer: a) -$0.19, b) -$111.72 .

Step-by-step explanation:

Since we have given that

Number of free throws = 434

Number of throws made by them = 390

Amount for making the next 2 free throws = $40

Amount otherwise he has to pay = $169

a) Find the expected value of the proposition.

Expected value of success in next 2 free throws = $\dfrac{390}{434}\times \dfrac{391}{435}=0.8077$

Expected value would be

$0.8077\times 40+(1-0.8077)\times -169\\\\=32.308-32.4987\\\\=-\$0.19$

b) If you played this game 588 times how much would you expect to win or lose?

Number of times they played the game = 588

So, Expected value would be

$588\times -0.19\\\\=-\$111.72$

Hence, a) -$0.19, b) -$111.72

8 0

3 years ago

What is the total surface area of the cone?

Ymorist [56]

T.S.A. = pi (7) (24) + pi (7)^2 = 168pi + 49pi = 217 pi cm^2 = more or less 681,73 cm^2

7 0

3 years ago

Which expression is equal to (−4x2−1)(2x2+3)?

Leya [2.2K]

Answer:

The first one:

−8x4−14x2−3

Step-by-step explanation:

(-4•2-1)(2•2+3)

-4•2 = -8

-8 - 1 = -9

(-9)(2•2+3)

2•2 = 4

4+3 = 7

(-9)(7) = -63

Now we find the one that equals -63:

-8•4-14•2-3

(-8•4)-14•2-3

-32-14•2-3

-32-(14•2)-3

-32-28-3

(-32-28)-3

-60-3

-60-3 = -63

BAM! THE ANSWER!

7 0

3 years ago

Read 2 more answers

Solve for a.<br><br> a + (-1.3) = -4.5 <br><br> Enter your answer in the box.

Vlada [557]

Answer:

a=(-3.2)

Step-by-step explanation:

a+(-1.3)=(-4.5)=a-1.3=(-4.5)

a=(-3.2)

Please mark as Brainliest! :)

Have a nice day.

3 0

3 years ago

Read 2 more answers

NEED HELP ASAP PLEASE

kati45 [8]

Answer: its (0,2/3)

Step-by-step explanation: i say this because 2/3 equal 0.6 so 0.6 will be on the y-axis and 0 will be on the x-axis, this will equal a line that meats up wit R and is parallel to PQ. I hope this helps.

4 0

3 years ago