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3 years ago

Y=x+3 is it a linear function?

Mathematics

2 answers:

kap26 [50]3 years ago

7 0

It is a linear function because it is of the form:

y=mx+C,

in this case: m=1 and C=3.

dimaraw [331]3 years ago

3 0

Answer:

Step-by-step explanation:

A linear function has a variable raised to the power of 1 in it. It takes on the form y = mx + b, where m is the slope and b is the y-intercept. Because our function has x raised to a power of 1, then yes, this is linear (unlike something like 1/x or x²)

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Which expression is equivalent to (81x4y16)12 for all positive values of x and y? 40.5x4y16

IrinaVladis [17]

Answer:

$(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8$

Step-by-step explanation:

Given

$(81x^4y^{16})^{\frac{1}{2}}$

Required

Determine an equivalent expression

Express 81 as $9^2$

$(9^2x^4y^{16})^{\frac{1}{2}}$

Apply law of indices

$9^2^{\frac{1}{2}} * x^4^{\frac{1}{2}} * y^{16}^{\frac{1}{2}}$

$9^{\frac{2*1}{2}} * x^{\frac{4*1}{2}} * y^{\frac{16*1}{2}}$

$9^{\frac{2}{2}} * x^{\frac{4}{2}} * y^{\frac{16}{2}}$

$9^1 * x^2 * y^8$

$9 * x^2 * y^8$

$9 x^2 y^8$

Hence:

$(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8$

4 0

3 years ago

jess has $22 and saves $5 each week rosie has $10 and saves $8 each week how many weeks till they have the same amount of money

Lemur [1.5K]

Answer: 5 weeks

Explanation:
Jess starts with $22 and saves $5 per week, Rosie has $10 and saves $8 per week.

In order to find an equal amount of money between the two girls is by finding a common denominator.

Jess- 22, 27, 32, 37, 42
Rosie- 10, 18, 26, 34, 42

Since we found that they can both end up with $42, after a certain amount of weeks have passed, now you’ll want to count how many numbers are in each row to find the amount of weeks it took to get to an equal amount

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3 years ago

Identify which triangles are congruent, and explain your answer.

Paha777 [63]

I believe that A and D would be the correct answer. Because both are 30,60,90 triangles and would be congruent. The other 2 triangles only have 1 angle and their side measures are at two different places meaning they cannot be congruent.

7 0

4 years ago

Read 2 more answers

A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55

Brrunno [24]

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125