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Luden [163]
2 years ago
11

PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.

Mathematics
1 answer:
Lesechka [4]2 years ago
6 0

Answer:

1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x ← is in slope- intercept form

with slope m = 1

You might be interested in
The surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²? What is the scale factor of the smaller
max2010maxim [7]

Answer:

scale factor of the smaller  prism to the larger prism is B. 21/23

Step-by-step explanation:

Given

surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?

scale factor is ratio of sides of two similar objects

thus scale factor for given prism will be = side of smaller prism / side of larger prism

in general rule

If shape of solid has scale factor of k

scale factor of area = k²

scale factor of volume = k³

_____________________________

Given in the problem area of two prism is given

we know area = side^2

scale factor of area = k²

k^2 = area of smaller prism / area of larger prism

k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23

Thus, correct option is B 21/23.

7 0
2 years ago
Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2
Goryan [66]

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

     = 2(x^2 -2x+4x-8)

     = 2(x^2 +2x-8)

     = 2x^2 +4x-16

5 0
3 years ago
The sum of x and it’s opposite is always zero?
jeka94

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

a-a =0

Or in the other case:

-a -(-a) =-a +a=0

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

a-a =0

Or in the other case:

-a -(-a) =-a +a=0

So then we can conclude that the expression is a general rule and is true

5 0
3 years ago
WHICH IS NOT A LINEAR FUNCTION ​
Tom [10]

Answer:

OPTION C

Step-by-step explanation:

IN OPT. A- 2 IS MULTIPLED IN EACH NO.

IN OPT.B-2 IS MULTIPLED

IN OPT.D-1 IS ADDED

IN OPT.E-2 IS ADDED

4 0
2 years ago
The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

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.

If Z \leq 2 or Z \geq 2, the outcome X is considered to be unusual.

In this question:

\mu = 8.21, \sigma = 1.9

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

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

Z = \frac{5 - 8.21}{1.9}

Z = -1.69

Z = -1.69 has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

8 0
3 years ago
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