Answer:
x = 4
Step-by-step explanation:
Given
[tex]\frac{x-2}{4}[/tex] = [tex]\frac{3x-7}{10}[/tex] ( cross- multiply )
4(3x - 7) = 10(x - 2) ← distribute parenthesis on both sides )
12x - 28 = 10x - 20 ( subtract 10x from both sides )
2x - 28 = - 20 ( add 28 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. You may create a sample polynomial of degree 3 or higher to use in your explanations.
(Dividing and Solving Polynomials)
First. Finding the x-intercepts of
Let be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:
To find the zeros of the polynomial:
We use the Trial-and-Error Method which states that a factor of the constant term:
can be a zero of a polynomial (the x-intercepts).
So let's use an example: Suppose you have the following polynomial:
where the constant term is . The possible zeros are the factors of this term, that is:
.
Thus:
From the foregoing, we can affirm that are zeros of the polynomial.
Second. Construction a rough graph of
Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:
and compute where is a real number between -2 and -1. If , the curve start rising, if not, the curve start falling. For instance:
Therefore the curve start falling and it goes up and down until and from this point it rises without a bound as shown in the figure below
Please help divide 5 652 to the ratio 2:3:5 I will give brainliesters
thank you in advance
Answer:
105
Step-by-step explanation:
(-20+5)(58-65)
(-15)(-7)
105
Please help! I know its a lot and I'm sorry but I REALLY NEED HELP!!! I just don't understand this and I don't want to fail my brain just is not smart with math. Even if you answer just ONE question it would mean the WORLD TO ME thanks!
Answer:16
Step-by-step explanation:
A cylinder has a base diameter of 20 inches and a height of 11 inches. What is its
volume in cubic inches, to the nearest tenths place?
Step-by-step explanation:
Volume=base area * height
=πr^2h
22/7 * 10^2 *11
=3457.1cm3
Answer:
The volume of a cylinder with a diameter of 10 inches and height of 20 inches is 1,570.8 cubic inches.
PLEASE HELP ME!!!! I WILL MARK!!!
Answer:
6(x - 3 ) = 6x - 18
2(3x - 3) = 6x - 6
Step-by-step explanation:
There are some hens and some sheeps are in a farm,total number of animals are 10 and total number of their legs are 32 1.Find number of hens? 2. Find number of sheeps?
Answer: The number of hens are 4 and number of sheeps are 6
Step-by-step explanation:
Given : Total animals = 10
Total number of legs = 32
Let number of hens = h and number of sheep = s
Thus h+s = 10 (1)
Now each hen has two legs and each sheep has 4 legs :[tex]2\times h+4\times s=32[/tex] (2)
Solving for h and s we get:
s = 6 , h =4
Thus number of hens are 4 and number of sheeps are 6
can someone answer this pls
Answer:
5.9
Step-by-step explanation:
Answer:
I think it is 62.
Step-by-step explanation:
Hope this helps!
Question 10 of 10
What is the value of y?
10"
50
A. 30°
B. 40°
C. 50°
D. 60°
Answer:
i think ik it the aswer is c
Mrs. Smith washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
a) The person who washed the most of the laundry is Mrs Smith
b) 4/15 of the laundry is left to wash
Step-by-step explanation:
Mrs. Smith washed 2/5 of her laundry. Her son washed 1/3 of it.
a) Who washed most of the laundry?
We convert the fraction of laundry each person washed to decimal
Mrs Smith = 2/5 = 0.4
Her son = 1/3 = 0.333
Therefore, the person who washed the most of the laundry is Mrs Smith
b) How much of the laundry still needs to be washed?
Let us total laundry = 1
=1 - ( 2/5 + 1/3)
Lowest Common Denominator is 15
=1- (3 × 2 + 5 × 1/15)
= 1 - (6 +5/15)
=1 - 11/15
= 4/15
What is your dream career and why ?
Answer:
Step-by-step explanation:
Professional dancers cause I’ve danced since I was 3 and I’ve always wanted to do it. And I wanna model on the side
Answer:
Detective/Forensics scientist
Step-by-step explanation:
I want to be a detective/ forensic scientist because I am interested in science and investigating.
Please help!
I don't understand, so if you can explain, that would be amazing. If you just give me an answer, that's ok too!
Answer:
3 units
Step-by-step explanation:
-1, 0, 1 ,2
( 1, 2 ,3)
Give the other person Brainliest :)
Write the word sentence as an equation. Then solve the equation.
9 is the difference of a number n and 7.
An equation that represents this word sentence is
Answer: 9=n-7
Step-by-step explanation:
Kendall bought a vase that was priced at $450. In addition, he had to pay 9% sales tax. How much did he pay for the vase?
Answer:
$436
Step-by-step explanation:
I need some help with this, just like Rocky, ASAP!
Answer:
12 possible roots
Step-by-step explanation:
we can use the rational zeros theorem which says that in order to find the possible roots for a polynomial we need to divide the factors of the constant by the factors of the coefficient of the leading term
which in this case is:
±(1, 2, 3, 4, 6, 12)/(1)
±1, 2, 3, 4, 6, 12
so we have 12 possible roots
331 student went on a field trip. Six bises were filled and 7 students traveled in cars. How many students were in each bus?
Answer:
54 students
Step-by-step explanation:
if 7 of 331 students did not go on buses then 331 - 7 = 324 went on buses.
324 divided by 6 = 54 students
help plsss. marking brainliest
Answer:
1. 3
2. 1
Step-by-step explanation:
Answer:
1.3. now mark brainlieet plsssssssssss like you said you would
Neutering dogs is a common surgical practice. The mean time to recover from the general anesthetic used is 26 hours. A veterinarian believes that since changing to a new anesthetic, the mean recovery time is shorter than before. From a random sample of 40 surgeries with the new anesthetic, she finds the mean recovery time was 25 hours with a standard deviation of 2.5 hours. What is the p-value for her hypothesis test
Answer:
0.005719
Step-by-step explanation:
H0 : μ = 26
H1 : μ < 26
Given that:
Population mean, μ = 26
Sample mean, xbar = 25
Sample standard deviation, s = 2.5
Sample size, n = 40
The test statistic :
(xbar - μ) / s/sqrt(n)
Test statistic :
(25 - 26) / 2.5/sqrt(40)
-1 / 0.3952847
Test statistic = - 2.5298
Using a Pvalue calculator from Z test statistic:
Pvalue = 0.005719
use the image to answer the question.
A landscaper is building a triangular garden behind a house. The lot is bounded on one side by the house
that is 30 ft. long and on another side by a fence that is 50 ft. long. If the fence makes a 25° angle with the
house, how long is the third side of the garden? Round your answer to the nearest foot.
a. 26 ft.
b. 46 ft.
c. 69 ft.
d. 78 ft.
Answer: 26ft
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer C
Step-by-step explanation:
Can you please help me
Answer:
7. 7.1+5.4+2.9=15.7
10.3+5.4=15.7
8. 373.4 - 152.9 = 220.5
373.4 - 153 = 220.4
220.4 - 0.1 = 220.5
9. 18.25 + 7.99 + 4.75 = 30.99
10. 1.05 + 3 + 4.28 + .95 = 9.28
11. 302.504
12 50.5
At a school play, an elementary school is accepting donations for a toy drive. An average donation of $8 per person is anticipated. The cost of the set design and costumes is $750, advertising in a local newspaper is $125, and posters to announce the concert cost is $89.
HELP HELP MEEEEE !!!!!
Answer:
sorry
Step-by-step explanation:
is 5 meters bigger or 1,300 centameters
Answer:
1,300 centameters
Answer: 1,300 centimeter meters is bigger
Step-by-step explanation:
Find m
Round to the nearest degree.
B
7
с
9
13
The circle radius is 12 cm. Then the circle content is
PLEASE HEEEELP
1
Find the length s of the arc of a circle of radius 9 feet subtended by the central angle
3
radian
s (arc length) =
feet
Answer:
27.0 feet
Step-by-step explanation:
Length of an arc (s) = 2πrθ/360................. Equation 1
Where r = radius of the circle, θ = angle in degree substends by the arc at the center of the circle.
From the question,
Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°
Constant: π = 3.14
Substitute these values into equation 1
s = 2(3.14)(9)(171.89)/360
s = 9715.2228/360
s = 26.99 feet
s ≈ 27.0 feet
HELP ASAP PLEASE ILL MARK BRAINLIEST
Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?
Answer:
Step-by-step explanation:
What is the equation of the line that passes through the point (7,-6) and has a slope of -2?
Answer:
y=-2+8
Step-by-step explanation:
The answer is y=-2+8 because of course the slope has to be -2 as you stated in your Question. So all you have to do is change the Y-Intercept until you reach the point. Since the Slope is negative, the Y-Intercept will rise until you reach your point. You may double check my answer to see if it is right, it is up to you. If you find any fault in my answer please let me know. Have a good day!
The balanced scale represents the equation: 3x + 1 = x + 3
If one x block is subtracted from the right side and three numbered blocks are subtracted from the left side. What process will
balance the scale?
subtract one x block from the left side and subtract three numbered blocks
from the left side
subtract one x block from the left side and subtract three numbered blocks
from the right side
subtract one x block from the right side and subtract'three numbered
blocks from the left side
subtract one x block from the right side and subtract three numbered
blocks from the right side
Answer:
1 block is required in the process to balance the scale
Step-by-step explanation:
In order to get the process that will balance the scale, we need to solve the given expression for x as shown;
3x + 1 = x+ 3
Subtract x from both sides
3x+1-x = x+3 - x
3x - x + 1 = 3
2x + 1 = 3
Subtract 1 from both sides
2x + 1 - 1 = 3 -1
2x = 2
Divide both sides by 2
2x/2 = 2/2
x = 1
Hence 1 block is required in the process to balance the scale
can somebody help me first answer gets brainiest pls help