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1 year ago

Find the solution to the system of equations. Y=1/2x-1 and x=4

Mathematics

1 answer:

oksano4ka [1.4K]1 year ago

5 0

the point where the two lines intersect will be your answer.

from the photo, your x-coordinate will be 4, and your y-coordinate will be 1. that's where the two lines meet, so that's the solution.

the answer will be (4,1).

i hope i helped! good luck.

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What's the probability of pulling two red cards in a row from a deck of cards?

monitta

Hey there! I'm happy to help!

Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.

If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.

We multiply the probabilities of these two events to find the probability of them both happening.

1/2×25/51=25/102

The probability of picking two red cards in a row is 25/102 or around 24.5%.

Have a wonderful day! :D

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3 years ago

Segments DF, DH, and GF are tangent to the circle. Andrew was asked to find DF. Explain andrew's error.

ANEK [815]

Answer:

DF = 14

Step-by-step explanation:

Andrew was wrong in the assumption that DE = EF

Segments of tangents to a circle from the same external point are congruent

That is

EF = FG = 8

Then

DF = DE + EF = 6 + 8 = 14

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3 years ago

the parent function f(x) = x^3 and a translation, g(x), are shown on the graph. which represents g(x), the translated function?

tangare [24]

y=f(x)+g(x))

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3 0

3 years ago

At a baseball game, a vender sold a combined total of 170 sodas and hot dogs. the number of hot dogs sold was 50 less than the n

Juliette [100K]

Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.

x+y=170 (We know that soda + dogs is 170)

x-50=y (We know that dogs is equal to 50 less than sodas)

We can use substitution to solve this system of equations.

x+y=170

Sub in the value of y from the second equation

x+(x-50)=170

2x-50=170

2x=220

x=110

We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.

x+y=170

110+y=170

y=60

So, there were 60 hotdogs sold and 110 sodas sold.

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3 years ago

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dem82 [27]

The lengths of sides of a 30°-60°-90° triangle have the ratio 1 : √3 : 2. Multiplying these values by 5 tells you the sides have the lengths 5 : 5√3 : 10.

The length x of the middle-length side is ...
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8 0

3 years ago