Answer:
B. 4x2 + 9x – 28
Step-by-step explanation:
Multiply out the factors and see what polynomial you end up with.
(4x – 7)(x + 4) = 4x^2 + 16x - 7x - 28 = 4x^2 + 9x - 28
The polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
To determine which polynomial has factors of 4x – 7 and x + 4, we can use the fact that if a polynomial has a factors.
So, if a polynomial has factors of 4x – 7 and x + 4, then it can be written as:
(4x – 7)(x + 4)
Multiplying these factors together using the distributive property, we get:
4x²+ 16x - 7x - 28
Simplifying, we get:
4x² + 9x - 28
Hence, the polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.
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-5^2 find the power
Answer:
-25
Step-by-step explanation:
Answer:
Hey there!
When we have a^b, b is the power.
Thus, in -5^2, 2 is the power.
Let me know if this helps, or if you need more help :)
The amount of clay students used for their last art project is weighed. The line plot displays the amounts of clay. How much more clay did the students who used of a pound use than the students who used of a pound?
Answer:
C. 2 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.
Used 3/4 of a pound:
3/4(4) = 3 pounds
Used 1/4 of a pound:
1/4(3) = 3/4 pound
Now, subtract:
3 - 3/4 = 2 and 1/4
Answer
i got it right
C. 2
Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?
Answer:
1/7 is left
Step-by-step explanation:
What is left to read after the first week
1 - 3/7
7/7 - 3/7
4/7
He read 3/4 of this the second week
4/7 * 3/4
3/7 was read
4/7 - 3/7 is what is left
1/7 is left
Answer:
The correct answer is
Step-by-step explanation:
1/7 of the book is left to read.
Hope this helps....
Have a nice day!!!!
An isosceles triangle has a vertex angle of 26°. Two sides of the triangle are each 15 ft long. Find the area of the triangle. A. 9.931 sq ft B. 98.629 sq ft C. 45.543 sq ft D. 49.314 sq ft
Answer:
D. 49.314 ft²
Step-by-step explanation:
Area = 1/2 s² sinФ
= 1/2 * 15² * sin(26)
= 49.314 ft²
A laptop battery has 81% power after 1 hour of use and 24% after 4 hours use. What is the slope?
Answer:
Step-by-step explanation:
If A laptop battery has 81% power after 1 hour of use
It looses 19 % of its energy in one hour.
The difference between 81% and 24% is 57%
The slope of the line of rate of decrease of battery percentage is 19% per hour.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is
y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or the rate of change is large.
We know slope(m) of a line = (y₂ - y₁)/(x₂ - x₁).
The problem can be constructed as having two points (1, 81) and (4, 24).
∴ Slope(m) = (24 - 81)/(4 - 1).
Slope(m) = - 57/3.
Slope(m) = - 19.
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I WILL GIVE U BRAINLIST AND A THANK YOU PLS ANDWER!!!!!!!!!
Answer:
yes it is proportional because you don't buy the popcorn
Answer:
A. Yes.
Step-by-step explanation:
Since you never buy popcorn, the only thing you buy are movie tickets. The only thing contributing to the total price are the movie tickets, so the total price is proportional to the number of movie tickets purchased.
Hope this helps!
Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right angles are formed. Lines M N and P Q are straight lines that are next to each other and they will never intersect. Lines T U and R S are next to each other and could intersect. Which two statements are both true?
c. Tu | MN and MN || PQ I am done with the interview
Still can’t get the answer
Answer:
Arliss needs [tex]4 \frac{1}{3}[/tex] yards more.
Step-by-step explanation:
We can look at the fractions [tex]2 \frac{1}{3}[/tex] and [tex]3 \frac{1}{3}[/tex] and add them up.
Looking at the whole numbers, [tex]2+3=5[/tex].
Looking at the fractional parts, [tex]\frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex].
So all together, she currently has [tex]5 \frac{2}{3}[/tex] yards.
If she wants to get to 10, we need to find how many more yards we need.
Let's level it out quickly - having [tex]\frac{1}{3}[/tex] more of a yard will give is 6 yards.
[tex]10-6=4[/tex], so in total we added
[tex]4 \frac{1}{3}[/tex] more yards.
So she needs [tex]4 \frac{1}{3}[/tex] more yards.
Hope this helped!
. (08.01 MC) 1. Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points) 2.(08.01 MC) Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank). (4 points)
Answer:
602.88 in³
12
Step-by-step explanation:
Formula for volume of a cylinder = πr² · h
radius (r) = 1/2(diameter)
1. Set up the equation
radius = 4
(3.14)(4²)(3·4)
2. Solve
3.14(16)(12) = 602.88 in³
Formula for volume of a cone = 1/3πr² · h
The formula of a cone is 1/3 the volume of a cylinder. Therefore, a cone that fits perfectly within the dimensions of a cylinder would have a volume equal to 1/3 of the volume of the cylinder.
1. Set up the equation and solve
36 ÷ 3 = 12
The graph of y=x^2 - 2x- 3 is shown above. What are the zeros and factors of y=x^2 - 2x -3
A. X=1 and x = -3;(x-1)(x+3)
B. X=-1 and x = -3;(x+1)(x+3)
C. X=1 and x = -3;(x-1)(x-3)
D. X=-1 and x = -3;(x+1)(x-3)
Answer:
zeros -1,3 and the factors ( x+1) (x-3)
Step-by-step explanation:
The zeros are where it crosses the x axis
It crosses at x=-1 and x=3
So the factors are ( x- -1) and ( x-3)
( x+1) (x-3)
Answer:
[tex]\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}[/tex]
Step-by-step explanation:
Zeros of the function:
The zeros of a function is when the y value is 0 or where the function crosses the x-axis.
The function crosses the x-axis at x = -1 and x = 3.
Factors of the function:
[tex]y=x^2 - 2x- 3[/tex]
Factor the right side.
[tex]y=x^2 +1x-3x- 3[/tex]
[tex]y=x(x +1) -3(x+1)[/tex]
Take (x + 1) common.
[tex]y=(x+1)(x-3)[/tex]
The factors are (x + 1) and (x - 3).
5/14, 7/10, 5/6, 11/15, 19/21 arrange from ascending order
Answer:
5/14, 7/10, 11/15, 5/6, 19/21.
Step-by-step explanation:
Covert the fractions to decimal form:
5/14 = 0.357
7/10 = 0.7
5/6 = 0.833
11/15 = 0.733
19/21 = 0.905.
So in ascending order this is:
5/14, 7/10, 11/15, 5/6, 19/21.
Answer:
Step-by-step explanation:
to arrange in ascending order, we need to convert them into like fractions
to convert them into like fractions, we need to find the LCM of the denominators
the LCM of the denominators ( 14, 10, 6, 15 and 21 ) is 210
5/14 × 15/15 = 75/210
7/10 × 21/21 = 147/210
5/6 × 35/35 = 175/210
11/15 × 14/14 =154/210
19/21 × 10/10 = 190/210
75/210 < 147/210 < 154/210 < 175/201 < 190/210
∴ 5/14 < 7/10 < 11/15 < 5/6 < 19/21
Hope this helps
plz mark as brainliest!!!!!!!
If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b
Answer:
a = 2, b = -1Step-by-step explanation:
p(x) = ax³ + x² - 2x + b
p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1
a + b - 1 = 0 ⇒ b = 1 - a
p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3
- a + b + 3 = 0 ∧ b = 1 - a
- a + (1 - a) + 3 = 0
- a + 1 - a + 3 = 0
-2a + 4 = 0
-2a = -4
a = 2
b = 1 - 2 = -1
Will has 2 quarters, 6 dimes, some nickels, and 4 pennies. If the ratio of pennies to the total number of coins he has is 1:5, how many nickels are there?
Answer:
8 nickels
Step-by-step explanation:
Let n be the number of nickels.
4: (2+ 6 + 4 + n) = 1:5
4÷(12 + n) = 1÷5
4 x 5 = 1 x (12 + n)
20 = 12 + n
n = 8
What is the method called on #3
Answer:
an algorithm method just means a step by step procedure which in this case its means decimal subtraction in number 3.
Step-by-step explanation:
i hope this helps :)
write -7.08 as a mixed number or fraction in a simplest from
Answer:
7 2/5
Step-by-step explanation:
7.08 to improper fraction:
708/100
= 7 2/25
How do you figure out the answer to this sum ???20x48
Answer:
Step-by-step explanation:
20
×48
-------
160
800
---------
960
Hope this helps
plz mark as brainliest!!!!!!!
Answer:
960Step-by-step explanation:
20×48 =
= 20×(40+8) =
= 20×40 + 20×8 =
= 2×4×100 + 2×8×10 =
= 800 + 160 =
= 960
Or:
20×48 = 2×48×10 = 96×10 = 960
Help? Hello Help me please
Answer:
$562.75
Step-by-step explanation:
The future value formula is good for this.
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
Using your numbers, we find the account value to be ...
FV = $500(1 +.06/2)^(2·2) = $500·1.03^4 ≈ $562.75
There will be $562.75 in the account after 2 years.
Find all values of $x$ such that $3x^2 + 16x + 5=0$. If you find more than one value, then list your solutions, separated by commas.
answer
x = {-5, -⅓}
explanation
[tex]3 {x}^{2} + 16x + 5 = 0[/tex]
[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]
[tex]3x(x + 5) + 1(x + 5) = 0[/tex]
[tex](x + 5)(3x + 1) = 0[/tex]
[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]
[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]
HOPE IT HELPS...
BRAINLIEST PLEASE ;-)please help :) Write the number shown in standard notation. 6.94 x 10 to the 6 power A. 694 B. 6,940,000 C. 694,000,000 D. 694,000
Answer:
B. 6,940,000
Step-by-step explanation:
6.94 x 10^6
Make the number "6.94" as 694.
Since we make this decimal point move 2 places to the right.
We should decrease 2 powers from 10^6
=> 694 x 10^4
=> 694 x 10000
=> 6,940,000
So, the answer is B
Find the area of the shaded region
A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2
Answer:
The shaded area is 18 ft^2
Step-by-step explanation:
First find the area of the total trapezoid
A = bh
A = 1/2 ( b1+b2) *h
= 1/2 ( 6+12) *6
= 1/2 ( 18)*6
=54
Now find the area of the triangle
A = 1/2 bh
= 1/2 ( 12) * 6
= 36
Subtract the triangle from the trapezoid
54-36
18
The shaded area is 18 ft^2
Answer:
D. 18 sq.ft
Step-by-step explanation:
Lets make it simple and short.
Area of a triangle is 1/2 b h
b = 6
h = 6
Area = 1/2 * 6 * 6
Area = 18 sq.ft
(t)What is the difference between
{2, 3} and {{2, 3}}?
Answer:
[tex]\boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
{2, 3} is a set consisting of two elements. The two elements are the numbers 2 and 3.
{{2, 3}} is a set consisting of one element. That one element is the set {2, 3}.
Select the equivalent expression.
C, because we multiply the exponents to get the answer.
Answer:
C
Step-by-step explanation:
Using the rule of exponents
[tex](a^{m}b^{n}) ^{p}[/tex] = [tex]a^{mp}[/tex] × [tex]a^{np}[/tex]
Thus
[tex](7^{2}5^{6})^4[/tex]
= [tex]7^{2.4}[/tex] × [tex]5^{6.4}[/tex]
= [tex]7^{8}[/tex] × [tex]5^{24}[/tex] → C
Solve y=x2-5 for x.
SELF-CHECK 1: Evaluate the expression given. Write the numerical answer
as a fraction below. *
1 point
2 3
+
5.7
Your answer
Step-by-step explanation:
so 2.3 + 5.7 is 8.0 is the answer
For each of the following expressions, decide whether it is a polynomial. Explain your answer.
1. x2+3x12 I
2. 13x2y-9y2
3. 3x-3
4. 23t2-1t2
Answer:
Add the like terms:
8x2+x2=9x2
-9y2-3y2=-12y2
-4x-7x=-11x
Combine each term:
9x2-12y2-11x
Hope this helps!!
Step-by-step explanation:
Hope This Helps man
3. a. Simplify (2x + y) (x-7)
b. Find the truth set of 2x-3 +3 = -1
Answer: b. X=-1/2
Step-by-step explanation:
2x-3+3=-1-3 and +3 cancel each other
2x=-1 both sides divided by 2
X=-1/2
When a number is divided by 9 and its quotient is 12 and a remainder of 2
Answer:
Step-by-step explanation:
_____ / 9
2/12
Multiply the divisor (9) by the quotient (12) and to the result add the remainder (2).
9 × 12 + 2 =
108 + 2 = 110
110 is the number divided.
110/9
20/12
2
In 5 hours a small plane can travel downwind for 4000 kilometers or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
Write as an equation
Answer:
discuss this question is about packhouse a small plant can travel 400 kilometre aur 2000 kilometre find the speed with a plan with no wind and a speed on the answer you will be given to you divide 5 400 the four hundred and 51 you divide the answer to get dawat 310 you will find the extra answer
Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.
a. If c represents the cost and ݄ represents the hours, which variable is the dependent variable?
b. What would be the cost of renting 2 snowmobiles for 5 hours? please and thanks ( i"ll give brainiest )
At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 16 computer chips is taken. What is the probability of thesample mean
THIS IS COMPLETE QUESTION
computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeters. A random sample of 16 computer chip is taken. What is the probability that the sample mean will be below 0.95?
Answer:
the probability is P=0.045
Step-by-step explanation:
We were given mean of computer chips as 1 centimeter and a standard deviation of 0.1 centimeter
We were given
σ=0.1
n=16
We calculate:
Z=(0.95-1)/0.1 √16
Z=-0.125
Using the standard z- tables. to get the probability we have
P(X<0.95)=P(z<-0.115)=0.045
Therefore, probability is P=0.045
