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sweet [91]
3 years ago
13

Divide 9y power 2 by 3divide (8x power 2 +4x ) by 2x​

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

1=27

2=34

Step-by-step explanation:

1)9y power 2÷3

or, y=9 power 2÷3

or, y=9×9÷3

or, y=81÷3

or, y=27

2) (8x power 2+4x)÷2

=(8x×8+4x)÷2

=(64x+4x)÷2

=68x÷2

or, x=68÷2

or, x=34

You might be interested in
If the range of f(x)= 4x+1 is 9 find its domain. *​
dimaraw [331]

Answer:f(x)=4x+1=9

=> 4x=9-1

=> 4x=8

=>x=2

Step-by-step explanation:

8 0
2 years ago
The weight for crates of apples is normally distributed with a mean weight of 34.6 pounds and a standard deviation of 2.8 pounds
Tatiana [17]

Answer:

42.22% probability that the weight is between 31 and 35 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 34.6, \sigma = 2.8

What is the probability that the weight is between 31 and 35 pounds

This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 31. So

X = 35

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 34.6}{2.8}

Z = 0.14

Z = 0.14 has a pvalue of 0.5557

X = 31

Z = \frac{X - \mu}{\sigma}

Z = \frac{31 - 34.6}{2.8}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

0.5557 - 0.1335 = 0.4222

42.22% probability that the weight is between 31 and 35 pounds

6 0
2 years ago
Help me this is hard
siniylev [52]

Following PEMDAS is crucial to solving these. Please Excuse My Dear Aunt Sally

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Multiplication/Division and Addition/Subtraction are interchangeable.

Now then, number 1 has the following:

4-2*409-8*96

There are no parenthesis or exponents, but there is multiplication, so we will start with multiplying. There are two multiplication expressions in the problem.

-2 * 409 = -818

-8 * 96 = -768

Since you did that, your answer has been simplified to:

4-818-768

Now, all you have to do is combine your like terms. Since every term is alike, you can combine the whole expression.

4-818-768 = -1582

So, your final answer would be:

4-2*409-8*96 = -1582

Hopefully with this information, you can solve the rest. If you have any questions, let me know.

3 0
3 years ago
Can someone please explain how to do this.
lutik1710 [3]
Set the to equal:

x^2 - 4x+4 = 2x-4
 solve for X

subtract 2x from each side:
x^2 -6x + 4 = -4

subtract 4 from each side:

x^2 -6x = -8

add 8 to both sides:

x^2 -6x +8 = 0

factor the polynomial:

x = 4 and x = 2

using the line equation replace x with 2 and 4 and solve for y

y = 2(2) - 4 = 0
y = 2(4)-4 = 4

so the 2 points the line  crosses the curve is (2,0) and (4,4)

using those 2 points you can calculate the length:
 distance = sqrt((x2-x1)^2 +(y2-y1)^2

distance = sqrt( (4-2)^2 + (4-0)^2)

distance = sqrt (2^2 + 4^2)
 distance = sqrt (4+16)
= sqrt 20 
= 2 sqrt(5)  EXACT LENGTH


4 0
2 years ago
U = 6i – 10j<br> g= -81 – 11j<br> Find: -3u + 5g
VARVARA [1.3K]

Answer:

-3u + 5g =-58i -25j

Step-by-step explanation:

Given

u = 6i - 10j

g=-8i - 11j

Required

-3u + 5g

We have:

-3u + 5g

This gives:

-3u + 5g = -3(6i - 10j) + 5(-8i - 11j)

Open bracket

-3u + 5g = -18i + 30j - 40i - 55j

Collect like terms

-3u + 5g = -18i - 40i+ 30j  - 55j

-3u + 5g =-58i -25j

6 0
2 years ago
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