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3 years ago

Substitute y = 2x + 1 y = 3x - 1

Mathematics

1 answer:

Svet_ta [14]3 years ago

4 0

2x+ 1 = 3x - 1 ;
1 + 1 = 3x - 2x ;
2 = x ;
x = 2 ;
Then, y = 2x2 + 1 = 5 ;

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The diagonal of a rectangle is shown.

mixas84 [53]

Answer:

The area will still be the same

Step-by-step explanation:

The area would still be the same because you are not taking away or adding any more 'squares'

8 0

3 years ago

198round to the nearest tens and hundreds

Xelga [282]

198 round to the nearest hundreds is 200
198 round to the nearest tens is 200 too

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3 years ago

I need help on Number 1 and number 2

mihalych1998 [28]

How to find the MAD:
1) Add all numbers
2) divide by a number of numbers given
3) if told, round
1. The mean absolute deviation of a set of data is the average distance between each data value and the mean. The mean number of contacts stored and the distance each data value is from the mean is shown below. Each data value is represented by an ×.
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5 0

3 years ago

In a store 25% of the boxes of cereal contain a prize. 75% of the cereal contains no prize. if you buy two boxes of cereal, what

In-s [12.5K]

Answer:

The probability that neither box contains a prize is 0.5625 or 56.25%

Step-by-step explanation:

Independent Events

It's referred as to the case when the probability of success (or failure) of the event A doesn't interfere with the probability of B. In this question we'll assume there are enough boxes of cereal of each type to make the choosing of one of them affect very little the choosing of the other one.

Let's call p=0.25 to the probability of getting a cereal box with a prize, and q=0.75 to the negation of p, i.e. the probability of getting a ceral box without a prize. There are four possible combinations: {pp,pq,qp,qq}. We need to find the probability of the combination qq. We compute it as the product of the individual probabilities

$P(qq)=q\cdot q=q^2=0.75^2=0.5625$

In other words, the probability that neither box contains a prize is 0.5625 or 56.25%

3 0

4 years ago

Write a quadratic equation in standard form with x-intercepts (-3, 0) and (4, 0) that passes through (2, -20).

jeka57 [31]

Answer:

The equation in standard form is: $y=2x^2-2x-24$

Step-by-step explanation:

Since they give you the x-intercepts (the zeros of the quadratic expression) one knows that the binomials: (x-(-3)) and (x-4) must be factors of the quadratic expression.

We can therefore write the equation as:

$y=k\,(x+3)(x-4)$

using the binomial factors given above, and a numerical factor "k" that we can determine by using the information that the graph passes through the point (2,-20):

$y=k\,(x+3)(x-4)\\-20=k\,(2+3)(2-4)\\-20=k\,(5)(-2)\\-20=k\,(-10)\\k=\frac{-20}{-10} \\k=2$

Then,the equation can be written as:

$y=2\,(x+3)(x-4)\\y=2(x^2-x-12)\\y=2x^2-2x-24$

where we wrote the equation already in standard form

5 0

3 years ago