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joja [24]
2 years ago
5

Evaluate the expression if x=7 and y=4. 4x - 18 + 3y

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Answer: <em>22</em>

Step-by-step explanation:

<em>Take the equation</em>

<em>4x-18+3y</em>

<em>Now plug in the values given</em>

<em>4(7)-18+3(4)</em>

<em>28-18+12</em>

<em>10+12</em>

<em>22</em>

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A plot of land doubles in size by adding x meters to the length and x meters to the width of the land. if the original plot had
ladessa [460]
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
4 0
3 years ago
Please answer question plz!!!!!
Neporo4naja [7]

Answer:

V = 214.32

Step-by-step explanation:

Remark

You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.

Formula

V = (h1 - h2)* Base

Givens

h1 = 32.9

h2 = 29.1

Base = 56.4

Solution

V = 56.4 ( 32.9 - 29.2)

V = 56.4 * 3.8

V = 214.32

6 0
3 years ago
Julie walked less than 2 miles? its 6 grade lesson8.3p
Novosadov [1.4K]

Answer:

huh?, give the full answer please

Step-by-step explanation:

6 0
3 years ago
A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atl
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hello!

Given the variables:

X₁: Median Age

X₂: Median Income

b) Considering it from a logical point of view, income changes with age, for example, the more experienced the worker is you would think he would get a better paying job than a younger worker who is just starting. Then the dependent variable will be the median income and the independent variable will be the median age.

a)  and c)

To see if there is a linear regression between the median income and median age you have to conduct a hypothesis test for the slope. If the slope is equal to zero, there is no linear regression between the two variables, if it is different to zero, there is a regression between the two of them:

H₀: β=0

H₁: β≠0

α: 0.05

t= \frac{b-\beta }{Sb} ~~t_{n-2}

The estimated regression equation for this regression ^Yi= 20.01 + 0.50X

The standard deviation for the slope is Sb= 0.11

t_{H_0}= \frac{0.50-0}{0.11} = 4.545

And the p-value for the test is 0.0022

The p-value is less than the level of significance I choose, so the decision is to reject the null hypothesis. You can conclude that there is a linear regression between these two variables.

The correlation coefficient between the median income and the median age is r= 0.87 ⇒ This means you could expect a positive and strong linear correlation between the two variables.

d)

The slope represents how much the variable Y is modified whenever the variable X increases one unit.

In this example: Is the modification of the population mean of the median income, when the median age increases one year.

5 0
3 years ago
Hurry i need help with this because time is running out
cricket20 [7]

Answer:

12

Step-by-step explanation:

all you have to do is simply to find the LCM of the denominators

the LCM of each denominator would be 12

6 0
3 years ago
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