Answer:
The slope is -13/2x + 20. In decimal form, -6.5x + 20
Find all the zeros of f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12
Answer:
x=-2 x=2 x = 1/2 x=3
Step-by-step explanation:
f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12
Graph
We see that there is a zero at -2
Using synthetic division
-2 2 -5 -5 20 -12
-4 18 -26 12
------------------------------
2 -9 13 -6 0
This gives us ( x+2) ( 2x^3 -9x^2 +13x -6)
We see that there is a zero at 2
Using synthetic division ( 2x^3 -9x^2 +13x -6)
2 2 -9 13 -6
4 -10 6
------------------------------
2 -5 3 0
This gives us ( x+2) ( x-2) ( 2x^2 -5x+3)
We can factor ( 2x^2 -5x+3)
( x+2) ( x-2) ( 2x -1) ( x-3)
Using the zero product property
( x+2)=0 ( x-2)=0 ( 2x -1)=0 ( x-3)=0
x=-2 x=2 x = 1/2 x=3
What distance will a car traveling at a speed of 15 m/s cover in 300 s?
Distance formula: d = st
d = 15 * 300
d = 4,500m
So they will travel 4,500m! Have a nice day and mark brainliest if possible :)
[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]
[tex]4500 \: m[/tex]
Step-by-step explanation:
[tex]d = s \times t[/tex]
[tex]s = 15[/tex]
[tex]t = 300[/tex]
[tex]d = 15 \times 300[/tex]
[tex]d = 4500[/tex]
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working through this one. An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit What is the rate of temperature change in degrees Fahrenheit per foot? In the following activity, you'll use what you know about dividing rational numbers to find the solution. Complete the steps below to answer the question. write the change in elevation and the temperature as rational number.
Answer:
1 degree per 50 ft
Step-by-step explanation:
1000÷20 = 50
f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))
Answer:
f(g(x))=6x-8
Step-by-step explanation:
To keep it simple lets say if , for example
[tex]f(x)=2x-4[/tex]
then f(2) would be what?
[tex]f(2)=2(2)-4\\f(2)=0[/tex]
which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you
[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]
now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).
[tex]f(g(x))=-2(-3x+2)-4[/tex]
[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]
so that is our final answer.
Hope i helped
You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?
Answer:
a) The store which provides the lowest total costs is:
True Builders
b) The cost without sales tax is:
$407.48
Step-by-step explanation:
Data and Calculations:
Product Quantity True Builders Quality Suppliers
Price Costs Price Costs
Bricks 120 $2.20 $264.00 $2.25 $270.00
2 x 4 boards 40 ft $0.75 30.00 $0.70 28.00
1 x 6 boards 120 ft $0.60 72.00 $0.65 78.00
2 x 6 boards 30 ft $0.80 24.00 $0.80 24.00
Paint 2 gal. $15.50 31.00 $11.25 22.50
Paint Brushes 2 $7.50 15.00 $9.75 19.50
Total costs $436.00 $442.00
Imputed Sales Tax of 7% 28.52 28.92
Without Sales Tax $407.48 $413.08
Answer:
Quality Supplies 442.00
Step-by-step explanation:
The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2
Step-by-step explanation:
Hey there!
The given points are; (2,2) and (5,y).
Slope (m) =2
Using formula for slope, we get;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]2 = \frac{y - 2}{5 - 2} [/tex]
Simplify it to get value of"y".
[tex]2 = \frac{y - 2}{3} [/tex]
[tex]6 = y - 2[/tex]
[tex]y = 6 + 2[/tex]
Therefore, y= 8.
Hope it helps...
What is the ratio of daises to all the flowers in the vase?
Answer: Do you have the original ration so we can simplify it then??
Step-by-step explanation:
The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?
Answer:
9 degrees farenehit
Step-by-step explanation:
=====================================================
Explanation:
x = number of hours since 2 AM
y = temperature in degrees Fahrenheit
The starting temperature is -15 degrees, so the y intercept is b = -15.
The temperature goes up 3 degrees each hour, so the slope is m = 3
The equation is y = 3x-15
Now plug in x = 4 since 6 AM is four hours after 2 AM.
We get the following
y = 3x-15
y = 3*4-15
y = 12-15
y = -3
The temperature at 6 AM is -3 degrees Fahrenheit.
-------------------------
Check:
Start at -15 and add 3 for each hour
It might help to make a number line.
2 AM = -15 degrees
3 AM = -12 degrees
4 AM = -9 degrees
5 AM = -6 degrees
6 AM = -3 degrees
This confirms the answer.
Hellpp Hellpp helpppp where did they get 0.8 from
Answer:
All they are doing is finding what a 20% drop would be. You do that by multiplying the value by .8 which gives you the total accounting for a 20% drop.
Step-by-step explanation:
g(x) = -4x + 5 and h(x) = x^2 - 3x + 5 find (g-h) (x)
/~—☆☆☆——☆☆☆——☆☆☆——☆☆☆——☆☆☆—~~
Answer:
−x2+g+3x−5 (I think)
Step-by-step explanation:
There are 60 animal exhibits at the local zoo. What percent of the zoo's exhibits does each animal class represent?
Answer:
30+15+12+3= 60
for mammal 30/60=0.50%
reptile 15/60=0.25%
fish 12/60= 0.20%
bird 3/60=0-05%
i hope that helps
miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?
guys what is 265 divided by 53
Answer:
5
Step-by-step explanation:
265/53= 5
Answer:
265÷53=5
Step-by-step explanation:
just get a calculator
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
I don't understand with this question, can you help me with this pls?
Answer:
By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.
Step-by-step explanation:
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
Answer:
Step-by-step explanation:
Actually its
Andy spends $ 13.20
Emily will spend 23.40
HOPE IT HELPS!!!!!!!!!!
Need help ASAP pls !!!!!
Answer:
growth and .09% increase I believe
Step-by-step explanation:
Write an equation in point-slope form for the line that is parallel to y = 3/4x -
3 and passes through point (4,3).
Answer:
The point-slope form of the equation of the parallel line is y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe point-slope form is of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the coordinates of a point lies on the line∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3
→ Compare it with the first form of the equation above
∴ m = [tex]\frac{3}{4}[/tex]
∴ The slope of it is [tex]\frac{3}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]\frac{3}{4}[/tex]
∵ The point-slope form is y - y1 = m(x - x1)
→ Substitute the value of the slope in the form of the equation above
∴ y - y1 = [tex]\frac{3}{4}[/tex] (x - x1)
∵ The line passes through the point (4, 3)
∴ x1 = 4 and y1 = 3
→ Substitute them in the equation above
∴ y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
∴ The point-slope form of the equation of the parallel line is
y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Ray AB is the angle bisector of
Answer:
Angle CAD
Ray AB is bisecting angle CAD.
(4x+1) = 64
because by getting the angle bisector you are able to get 16 which is X
Assuming part a is correct, how do you do b and c?
Step-by-step explanation:
B. Yes, we are 99% confident that the population mean is within the interval.
C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.
D. No. Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9. So the interval minimum would still be higher than 225.
write equivalent fractions for 3 2/3 and 1 4/5 using 15 as the common denominator
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
The required equivalent fractions for 3 10/15 and 1 12/15.
Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15
Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15
Thus, the required equivalent fractions for 3 10/15 and 1 12/15.
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On a cold morning, the temperature at 7AM is -10 degrees F and rises two degrees per hour. What will the temperature be at noon?
Answer:
Equation:
Hours after 7AM (x) 0, 1, 2
Temp in F (y) -10, -8, -6
Use these for your coordinates
Answer the question, provide the equation, fill in the table and create the graph.
Answer:
it would be 60 degrees at noon
Step-by-step explanation:
Lucy, charlie, and Michael have a total of $95 in their wallet. Charlie has $10 more than lucy. Michael has 3 times what Lucy has. How much does each have?
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. When each data class has the same frequency, the distribution is symmetric. Choose the correct answer below.
a. The statement is true.
b. The statement is false. When each data class has the same frequency, the distribution is bimodal.
c. The statement is false. When each data class has the same frequency, the distribution is skewed left.
d. The statement is false. When each data class has the same frequency, the distribution is skewed right.
Answer:
A; the statement is true
Step-by-step explanation:
In this question, we are to select which of the options is correct according to the initial statement.
The statement is true.
If the data classes have same frequency, then the distribution is said to be symmetrical in nature.
What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.
(-7, 13); slope = -2 Write the equation of the line in slope-intercept form with the given point and slope or two points.
Answer:
y=-2x-1
Step-by-step explanation:
13=-2*-7+b
13=14=b
-1=B
The equation of the line in the slope-intercept form will be 2x+y+1=0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
The coordinate of the points are (x,y) = (-7, 13)
Slope, m = -2
The standard equation of a line is,
y = mx+c
Substitute the given coordinate value in order to find the intercept value as
13=-2×-7+c
13-14=c
-1=c
Put the values in the standard equation,
y = mx+c
y=-2x-1
Thus, the equation of the line in the slope-intercept form will be 2x+y+1=0.
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Determine if the transformation of figure a to figure b is a dilation
Solve for x. 6+X-7= 16
Answer:
X=17
Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.
Answer:
x=17
Step-by-step explanation:
Groups like terms
x+6-7=16
Subtract the numbers: 6-7= -1
x-1=16
Add 1 both sides
x-1+1=16+1
Simplify
x=17
The listed occupations of stockholders of a national computer company included 9% who were housewives. If six of these stockholders are randomly selected, what is the probability that none are housewives?
Answer:
no se la respuesta
Step-by-step explanation:
no se la respuesta
The probability that none of the six selected stockholders are housewives is,
⇒ 56.8%
The term probability refers to the likelihood of an event occurring. Probability means possibility.
The probability of an event occurring can be calculated by subtracting the probability of the event not occurring from 1.
Given that,
The listed occupations of stockholders of a national computer company included 9% who were housewives.
Since 9% of the stockholders are housewives.
Hence, the probability that a randomly selected stockholder is not a housewife is,
= [tex]1 - 9%[/tex]%
= [tex]1 - 0.09[/tex]
= [tex]0.91[/tex]
So, The probability that none of the six selected stockholders are housewives is,
⇒ [tex](0.91)^6[/tex]
⇒ [tex]0.5678[/tex]
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Helpp thanksssss........
Answer:
4/10
Step-by-step explanation:
4/5 ÷ 2/1
4/5 * 1/2
2/5 or 4/10
A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986