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wlad13 [49]
1 year ago
15

PLEASE HELP WILL MARK BRAINLIEST (if possible).......................Braden bought 18 pencils for $4.50. Let x represent the num

ber of pencils purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.

Mathematics
2 answers:
Bingel [31]1 year ago
8 0
Y=4 Because you divide 18 by 4.50 and then just put a point on positive four on your graph.
Mariana [72]1 year ago
5 0

We are given x represent the number of pencils purchased, and let y represent the total cost.

We also given 18 pencils for $4.50.

Therefore, cost of each pencil = 4.50/18 = $0.25

Total cost (y) = cost of each pencil × number of pencils.

Therefore, equation would be

<h3>y = 0.25x.</h3>

In order to graph it, let us find some points for graph using table.

Plugging x=4, we get

y = 0.25(4) = 1.

Plugging x=8, we get

y = 0.25(8) = 2.

<h3>We got two coordinates, (4,1) and (8,2).</h3>

Plotting those points on the graph and joining the points.

We can see that graph represents the proportional relationship.


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The parabola y=x^2y=x 2 y, equals, x, start superscript, 2, end superscript is reflected across the xxx-axis and then scaled ver
kramer

ANSWER

The equation of the new parabola is

y =  - 5 {x}^{2}

EXPLANATION

The given parabola has equation:

y =  {x}^{2}

If this parabola is reflected in the x-axis, its equation becomes :

y =  -  {x}^{2}

When this parabola is scaled vertically by a factor of 5, the equation becomes,

y =  - 5 {x}^{2}

5 0
2 years ago
Consider the following system of equations: 10 + y = 5x + x2 5x + y = 1 The first equation is an equation of a . The second equa
aleksley [76]

Answer: The first equation is an equation of a parabola. The second equation is an equation of a line.

Explanation:

The first equation is,

10+y=5x+x^2

In this equation the degree of y is 1 and the degree of x is 2. The degree of both variables are not same. Since the coefficients of y and higher degree of x is positive, therefore it is a graph of an upward parabola.

The second equation is,

5x+y=1

In this equation the degree of x is 1 and the degree of y is 1. The degree of both variables are same. Since both variables have same degree which is 1, therefore it is linear equation and it forms a line.

Therefore, the first equation is an equation of a parabola. The second equation is an equation of a line.

5 0
1 year ago
Read 2 more answers
A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's
wlad13 [49]

Answer:

B. 0.835

Step-by-step explanation:

We can use the z-scores and the standard normal distribution to calculate this probability.

We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.

We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.

Then, the z-scores for X=-43.5 and 32.1 are:

z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{(-43.5)-13.2}{18.9}=\dfrac{-56.7}{18.9}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{32.1-13.2}{18.9}=\dfrac{18.9}{18.9}=1\\\\\\

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

P(-43.5

6 0
2 years ago
Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is
Liula [17]

Answer:

The variance in weight is statistically the same among Javier's and Linda's rats

The null hypothesis will be accepted because the P-value (0.53 ) > ∝ ( level of significance )

Step-by-step explanation:

considering the null hypothesis that there is no difference between the weights of the rats, we will test the weight gain of the rats at 10% significance level with the use of Ti-83 calculator

The results from the One- way ANOVA  ( Numerator )

with the use of Ti-83 calculator

F = .66853

p = .53054

Factor

df = 2  ( degree of freedom )

SS = 23.212

MS = 11.606

Results from  One-way Anova ( denominator )

Ms = 11.606

Error

df = 12 ( degree of freedom )

SS = 208.324

MS = 17.3603

Sxp = 4.16657

where : test statistic = 0.6685

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             level of significance ( ∝ ) = 0.10

The null hypothesis will be accepted because the P-value (0.53 ) > ∝

where Null hypothesis H0 = ∪1 = ∪2 = ∪3

hence The variance in weight is statistically the same among Javier's and Linda's rats

7 0
1 year ago
Which expression is equivalent to the given polynomial expression?
ivolga24 [154]

Answer:

C. -31m⁴n - 8m²

Step-by-step explanation:

Given:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Required:

Determine an expression equivalent to it

Solution:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Distribute the negative sign to open the parentheses

9mn - 19m⁴n - 8m² - 12m⁴n - 9mn

Combine like terms

9mn - 9mn - 19m⁴n - 12m⁴n - 8m²

-31m⁴n - 8m²

Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

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1 year ago
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