Answer:
[tex]f(x)=4x^3+44x^2+136x+96[/tex]
Step-by-step explanation:
Polynomials
It's possible to build a polynomial function by knowing its zeros and leading coefficient.
Given the zeros of a third-degree polynomial: x=x1, x=x2, and x=x3, the function is:
[tex]f(x)=a(x-x_1)(x-x_2)(x-x_3)[/tex]
Where a is the leading coefficient.
We are given the zeros -6, -4, and -1, thus:
[tex]f(x)=a(x+6)(x+4)(x+1)[/tex]
The value of a can be calculated by substituting the point (-2,-32):
[tex]a(-2+6)(-2+4)(-2+1)=-32[/tex]
Calculating:
[tex]a(4)(2)(-1)=-32[/tex]
[tex]-8a=-32[/tex]
Dividing by -8:
[tex]a = -32/(-8) =4[/tex]
a = 4.
The polynomial is now complete:
[tex]f(x)=4(x+6)(x+4)(x+1)[/tex]
Operating:
[tex]f(x)=4(x^2+10x+24)(x+1)[/tex]
[tex]f(x)=4(x^3+11x^2+34x+24)[/tex]
[tex]\mathbf{f(x)=4x^3+44x^2+136x+96}[/tex]
Which represents the solution set of the inequality 5x-921
There are 52 students in the seventh grade. If 25% are absent on a particular day, find the number of students present in the grade.
Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his country is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
Answer: The correct option is option (B) 1.08(0.87y).
Step-by-step explanation:
The answer is B
100% - 13% = 87% or .87
Tax is 8% or .08
Total cost would be 1 + .08 x .87
or 1.08(0.87y)
HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppppppJane sells pillows. For a sale, she marks them down 5%. If the original price of a pillow is $15.00, what is the sale price?
Answer:
$ 14.25 this is probably the answer
The required two expressions are
(1-0.05)P
0.95 P
Step-by-step explanation:
First method : Here, the original price of pillow = P,
She marks them down 5%
Thus, the selling price = P - 5% of P = P - 0.05 P = (1-0.05)P
Second method :
Since, some number is 100% of itself,
⇒ 100 % = P
⇒ 1 % = P/100 = 0.01 P
Also, by decreasing 5 % from 100 %
The remaining percentage = 100 - 5 = 95%
⇒ 95 % = 95 × 0.01 = 0.95 P
Solve the following equation for y: -4x+8y=24
Answer: y = 3 + x/2
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99. Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.
Answer:
[tex]\%Increase = 33.25\%[/tex]
Step-by-step explanation:
Given
Initial = 12
Final = 15.99
Required
Determine the percentage increment
This is calculated as thus:
[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Initial and Final
[tex]\%Increase = \frac{15.99 - 12}{12} * 100\%[/tex]
[tex]\%Increase = \frac{3.99}{12} * 100\%[/tex]
[tex]\%Increase = \frac{3.99* 100\%}{12}[/tex]
[tex]\%Increase = \frac{399\%}{12}[/tex]
[tex]\%Increase = 33.25\%[/tex]
Hence, the percentage increment is 33.25%
Convert the following fractions to equivalent fractions?
Point e,d, and h are the midpoints of the sides of the triangle TUV. UV = 80, TV=100, and HD = 80
Answer:
Step-by-step explanation:
We will use to midsegment theorem to solve this question.
Midsegment theorem,
Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.
7). HE is the midsegment.
HE = [tex]\frac{1}{2}(VU)[/tex]
= [tex]\frac{1}{2}\times (80)[/tex]
= 40
8). ED = [tex]\frac{1}{2}\times (TV)[/tex]
= [tex]\frac{1}{2}(100)[/tex]
= 50
9). HD = [tex]\frac{1}{2}(TU)[/tex]
TU = 2(HD)
= 2(80)
= 160
10). TE = [tex]\frac{1}{2}(TU)[/tex]
= [tex]\frac{1}{2}\times 160[/tex]
= 80
Solve the proportion 6/y=9/24
Answer:
It would be 16!
Step-by-step explanation:
Step 1 : 6 times 24 is 144
Step 2 : 144/9
Answer 16!
Answer:
ur dad and. ur mom plus ur dad mama ififjfifnfbfndjfkjfif
A beach is 2 3/5 miles long. Pets are allowed on 1/3 of the beach. How many miles of beach are pets allowed?
Answer:
13/15 of 1 mile, or 0.86666 miles
Step-by-step explanation:
If you are working with fractions, you can take the 2 3/5 miles of beach and convert that to 13/5 (10/5 = 2, then add the 3/5 = 10/5+3/5 = 13/5). Once converted, you can find out how much of that number allows pets by dividing that number by 3, or multiplying the result by 1/3.
13/5 * 1/3 = 13/15.
Another way to do this is to convert the original miles (2 3/5) to a decimal, which gives you 2.6 miles. Then take the 2.6 miles and again, either divide by 3 or multiply by 1/3 (which is basically the same thing). 2.6 ÷ 3 = 0.86666
Hope this helps!
Michael is saving to buy a car. He has 2/5 what he needs to buy the car. His savings account has a balance of $ 1000. How much does the car cost? How much more does he need to SAVE?
2500
1,000 divided by 2/5 is 2,500
6/8 reduced to the lowest term
Answer:
3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
both the numerator and denominator can be divided by 2
6/2=3
8/2=4
so 6/8 in lowest terms is 3/4
see image help me as fast as possible, please
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
hio
Step-by-step explanation:
hi
As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
Given that, the ancient Babylonians were writing fractions in 1800 BCE.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.
The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.
From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.
Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
To learn more about the fraction visit:
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Draw a number line model to determinen -2 +8
Answer:
the answer of that would be 6
6th grade math I mark as brainliest
Answer:
you should put true
Answer:
true
Step-by-step explanation:
5 × 5 × 5 = 5 ^3
Name
Date
Class
LESSOn
10-2
Graphing Systems of Linear Inequalities
Practice and Problem Solving: Modified
Answer:
kpealeakara
Mon. Nov. 16 2020
ss1
8
Answer:
8 is your answer am right or wrong
2/? x 4/2 = 8/14
:>>
Answer: 7
Step-by-step explanation: 2x4=8. 7x2=14.
The unknown value in the given expression is 7.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given is an expression 2/? x 4/2 = 8/14, we need to find the unknown value,
So,
2/? x 4/2 = 8/14
8/2? = 8/14
1/2? = 1/14
2? = 14
? = 14/2
? = 7
Hence, the unknown value in the given expression is 7.
Learn more about expression click;
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Choose the correct pair of expressions to complete the solution of Sine (x + StartFraction 3 pi Over 2 EndFraction) = negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, left-bracket 0, 2 pi right-bracket : blank times 0 + cosine x times blank minus StartFraction StartRoot 3 EndRoot Over 2 EndFraction:
cos x, 0
–sin x, –1
sin x, –1
–cos x, 0
Answer: C, sin(x), -1
Step-by-step explanation:
Edge;)
Answer:
C
Step-by-step explanation:
just took test :)
please answer correctly see image bellow.
Answer:
51.9 sec
Step-by-step explanation:
A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line
Answer:
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
Step-by-step explanation:
The slope intercept form of a line is given by:
[tex]y=mx+b[/tex]
We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get
[tex]y = \frac{3}{2}x+b[/tex]
b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation
[tex]9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6[/tex]
Putting b=-6 in the equation
[tex]y = \frac{3}{2}x-6[/tex]
Hence,
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
What is the unit rate of 25 rulers in 5 groups
"X is the number of red marbles that Tonya has in her hand after she selects four marbles from a bag containing four red marbles and two green ones and then notes how many there are of each color."
Answer:
Explained below.
Step-by-step explanation:
There are four red marbles (R) and two green marbles (G) in the bag.
The random variable X is defined as the number of red marbles that Tonya has in her hand after she selects four marbles from the bag.
The probability of selecting a red marble is:
[tex]P(X)=\frac{4}{6}=0.667[/tex]
The sample space of X can be defined as follows:
Outcomes: {(RGGG), (RRGG), (RRRG), (RRRR), (RRGR), (RGRR), (GRRR), (RGRG), (GRRG), (RGGR), (GRGR), (GRGG), (GGRG), (GGGR), (GGGG)}
So, the sample space of X is:
S = {0, 1, 2, 3 and 4}
Suppose you have a $3-off coupon at a fabric store. You buy fabric that costs $9.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
Robert has fish, chickens, and dogs. There are 28 eyes total and 16 legs total. Also, there are twice as many fish as chickens. How many dogs are there?
In Jayce's favorite video game, he collects stars to earn points. Today, he collected 80 silver stars and earned 160 points. He also collected 30 gold stars and earned 150 points. How many more points per star does Jayce earn from gold stars?
Jayce earns 3 more points from gold stars than from silver stars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Jayce collected 80 silver stars and earned 160 points.
He collected 30 gold stars and earned 150 points.
Therefore,
The points per star Jayce earns from silver stars
160/80=2,
The points per star Jayce earns from gold stars
150/30=5
Hence, Jayce earns 3 more points from gold stars than silver stars.
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Stephanie also is 2/5 m Ike’s in 1/4 hour. What is her speed in mikes per hour?
Answer:
1.6 m/hr
Step-by-step explanation:
(Time) 1/4 of an hour = .25 or 15 mins
Distance = 2/5 mile or .40
Speed = distance / time
Speed = .40 / .25
Speed = 1.6 m/hr
Answer:
1 3/5 or 1.6 mph
Step-by-step explanation:
2/5 of a mile = 0.4 miles
0.4 x 4 = 1.6 or 1 3/5 (you get the 4 from multiplying 1/4 of an hour by 4 to get one hour)
A committee of size 5 is to be selected at random from 3 women and 5 men. The probability distribution for the number of women on the committee is normal.
No
Yes
May be
None of the above
Answer:
no
Step-by-step explanation:
which is bigger 0.159 or 1.590
Answer:
1.590
Step-by-step explanation:
Answer:
0.159
Step-by-step explanation:its obvious hope this helped tho
I WILL MARK YOU BRAINLEST I PROMISE PLS HELP!!
Answer:
January
Step-by-step explanation: