What are the solutions of x2 10x 16 = 0? write the equation in standard form. factor the polynomial. apply the zero product property. solve the resulting equations. x2 10x 16 = 0 (x 2)(x 8) = 0 x 2 = 0 or x 8 = 0 x = and x =
The values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.
What is the factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The given polynomial equation in standard form is,
[tex]x^2 +10x +16 = 0[/tex]
Now factor the polynomial.
[tex]x^2 +10x +16 = 0\\(x 2)(x 8) = 0[/tex]
Apply the zero product property and find out the factors as,
[tex]x +2 = 0, x +8 = 0[/tex]
Solve the resulting equations by equating both the factors one by one to the zero and find the roots.
[tex]x +2 = 0\\x=-2\\[/tex]
Similarly, for x+8=0,
[tex]x +8 = 0\\x=-8[/tex]
Thus, the values of x or the roots of the equation are,
[tex]x = -2, x =-8[/tex]
Hence, the values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.
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Answer:
-2 and -8
Step-by-step explanation:
got my answer from the person above.
A group of friends were working on a student film that had a budget of $800. They spent all their budget on props and equipment. They used 83% of their budget on equipment. How much money did they spend on props?
Answer:
$136
Step-by-step explanation:
100% - 83% = 17%
the 17% is on props.
so, take 17/100 and multiply with $800, which you will get 136.
so the amount of money spent on props is $136
Chloe drive from her house to grandmas house 48 miles away in an hour and 12 minutes how far could you travel nine minutes
Answer:
The Answer is 36 miles in nine minutes
PLEASE HELP ASAP
A banana weighs 3/8kg. and a apple weighs 2/3kg.
Determine a reasonable estimate for the weight of both fruits.
There are about 795 houses in this region. The average family size is 6 people. There are about people living in the region how many people?
help please!!!!!!!! i need this before midnight
Answer:
20 min
Step-by-step explanation:
, Answer:
20 minutes
Step-by-step explanation:
Daniel got to the park at 11:20 and stayed there 'till 11:40, and then started to go home. He got home at 12:00 which means that it took him 20 minutes to get home
solve for x
PLEASE HELPPPPPPPP
Answer:
x=21
Step-by-step explanation:
People of different ages were asked the question "Do you listen to audiobooks?" The frequency table displays the percentage of "yes" responses for different age groups. 13 to 17, 8 percent; 18 to 25, 15 percent; 26 to 35, 23 percent; 36 to 45, 45 percent; 46 and over, 48 percent. Would it be appropriate to display the data with a pie chart? Yes, because the data are grouped into categories. Yes, because the data can be displayed by a relative frequency compared with the whole. No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole. No, because the data categories are too broad.
No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.
The correct option is C.
What is pie chart?
The “ pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numericical value.
Given
People of different ages were asked the question "Do you listen to audiobooks?
" The frequency table displays the percentage of "yes" responses for different age groups. 13 to 17, 8 percent; 18 to 25, 15 percent; 26 to 35, 23 percent; 36 to 45, 45 percent; 46 and over, 48 percent.
Considering that the data displays the percentage of time spent by each age group, not a relative frequency compared to the whole, a pie chart would not be appropriate.
Pie charts are used to indicate relative frequency of each group, when the whole combines to 100%.In this problem, the sum of the percentages is not 100%, hence, it does not indicate relative frequency, and the third option is correct.Hence, No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.
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Answer:
C.
Step-by-step explanation:
on edge2022
Which part of the expression 2(3+4)is the sum of two terms
Answer:
Step-by-step explanation:
You have only two parts to consider
2 and
3 + 4
Notice the wording "Sum of" That means there has to be a plus sign somewhere in the answer.
Answer: 3 + 4
What percent is 8 out of 32?
Answer:
25%
Step-by-step explanation:
8 divided by 32
Hope this helps!
If not I am sorry.
4m – 3(m + 1) – 4 < 0
Answer:1m-7<0
Step-by-step explanation:
4m-3m-3-4
1m-7<0
The solution to the inequality 4m - 3(m + 1) - 4 < 0 is m < 7.
We have,
To solve the inequality 4m - 3(m + 1) - 4 < 0, we can follow these steps:
Simplify the expression inside the parentheses:
4m - 3(m + 1) - 4 = 4m - 3m - 3 - 4 = m - 7.
Rewrite the inequality:
m - 7 < 0.
Add 7 to both sides of the inequality to isolate the variable:
m - 7 + 7 < 0 + 7,
m < 7.
Therefore,
The solution to the inequality 4m - 3(m + 1) - 4 < 0 is m < 7.
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Ok I’m being annoying ik but I seriously need help with these three I’ve tried but I really can’t figure these out
Answer:
24. a = 69
Step-by-step explanation:
a = 2c - 1
a = 2(35) - 1
a = 70 - 1
a = 69
What is the slope of the line that passes through (1, 3) and (6, 7)?
Answer:
See below.
Step-by-step explanation:
(1,3),(6,7)
7-3=4
6-1=5
4/5 is the slope.
-hope it helps
Answer:
4/5
Step-by-step explanation:
Subtract the y's 7-3, put that on top.
Subtract the x's 6-1, put that on the bottom.
7-3 / 6-1
4/5
Slope is 4/5
12/14 divided by 7/6 as a fraction
Answer:
[tex] \frac{12}{14} \div \frac{7}{6} [/tex]
[tex] \frac{12}{14} \times \frac{6}{7} [/tex]
[tex] \frac{6}{7} \times \frac{6}{7} [/tex]
[tex] \frac{36}{49} [/tex]
The result of 12/14 divided by 7/6 as a fraction is 36/49.
To divide the fraction 12/14 by 7/6, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction 'a/b' is 'b/a'.
So, the division can be written as:
(12/14) ÷ (7/6) = (12/14) * (6/7)
Now, we can simplify the multiplication:
(12/14) * (6/7) = (12 * 6) / (14 * 7)
Calculate the numerator and denominator:
72 / 98
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:
72 ÷ 2 / 98 ÷ 2 = 36 / 49
Therefore, the result of 12/14 divided by 7/6 as a fraction is 36/49.
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Graph y=x+2.
pls help me pls asap tell me the points
Hey there!
Hope this helps,
Please mark me brainliest
Which division problem does the number line best illustrate
Answer:
(A) 2÷1/5=10
You start off with 2
It is divided into 10 parts
they all include division
2÷_=10
2÷1/10=20
2÷1/5=10
Step-by-step explanation:
hope this helps :D
Karim is driving his car at a constant speed. At 11:00 A.M., the mileage reader is 66,750 miles. At 3:00 P.M., the mileage reader is 67,015 miles.
What is his speed in miles per
hour? Explain.
Answer:
His speed is 66.25 miles/hour
Step-by-step explanation:
The rule of the constant speed is:
Speed = Distance ÷ Time
∵ Karim starts his journey at 11:00 a.m. and finishes at 3:00 p.m.
→ Count the hours from 11: 00 a.m. to 3:00 p.m.
∴ He takes 4 hours ⇒ (3 + 12 - 11)
∴ T = 4 hours
∵ The mileage reader is 66,750 miles at 11:00 a.m.
∵ The mileage reader is 67,015 miles at 3:00 p.m.
→ The distance that Karim is driving = the difference between them
∴ The distance that karim is driving = 67,015 - 66,750
∴ D = 265 miles
→ Substitute the values of D and T in the rule above
∵ S = 265 ÷ 4
∴ S = 66.25 miles/hour
∴ His speed is 66.25 miles/hour
PLEASE HELP!!!! Determine the period of the following graph.
Answer:
6π
Step-by-step explanation:
A period occurs when the function goes through the x-axis 2 times.
We see this at 3π/2 and 15π/2
To Find a period Subtract one point from the other.
(15π/2-3π/2) = 12π/2 = 6π
Jennifer is buying cupcakes for a party. 12
cupcakes is $8.40. What is the unit rate for
each cupcake?
I reallyyyyy need help I I have no idea about unit rates
Answer:
24
Step-by-step explanation:
Q4. Find the values of the unknown angles
Answer:
56
Step-by-step explanation:
The sum of the exterior angles is 360 degrees, so:
50+75+x+x+x+67=360
192+3x=360
3x=168
x=56
What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πra cone with a base circumference of about 25 units a cone with a base circumference of about 50 units a cylinder with a circumference of about 25 units a cylinder with a circumference of about 50 units
hi hi hi hi hi hi hi hi hi hi hi hi hi hi ihi hi hi
HELP PLEASEE 100 POINTS Solve for x and y. Show all work on the whiteboard so you have the option to receive partial credit. Then enter your answers below.
Answer:
51°; 143°Step-by-step explanation:
#1 on the leftmBCD = (mAD - mBD)/2x = (178° - 76°)/2 = 102°/2 = 51°#2 on the righty = (mKL + mJM)/2y = (156° + 130°)/2 = 286°/2 = 143°How do you do this? I don’t understand it at all
Answer:
what is the question. I can help just need the question
Answer:
22 ft 2.1 seconds
Step-by-step explanation:
I need help solving this
Answer:
[tex]-n+1[/tex]
Step-by-step explanation:
[tex](n+2)-(2n+1)[/tex]
[tex]n+2-2n-1[/tex]
[tex]-n+1[/tex] which could also be written as [tex]1-n[/tex]
John and kim shared $2400 dollars in the ratio 2:6.What is kim's share ?
Answer:
$1800
Step-by-step explanation:
John's portion can be represented as 2x and Kim's portion can be represented as 6x as this will still be in a ratio of 2:6. The total of 2x and 6x equals 2400 so 8x = 2400 so divide both sides by 8 to find that x = 300. Kim's portion is 6x so 6(300) equals 1800.
In which of the following categories do the three families spend about the same dollar amount each month (within $25 of each other)? Select all that apply.
- Other Needs
- Housing
- Taxes
- Insurance
- Childcare
- Food
- Transportation
Can someone pls answer!!!
The category in which the families spend about the same dollar amount each month are food and transport.
What is a circle graph?
A circle graph is used to show information in a circle. The circle is divided into slices which represent a numerical proportion.
Amount spent on food by family A = (14/100) x 5400= $756
Amount spent on food by family B = 16/100) X 4675 = $748
Amount spent on food by family C = (11/100) X6675 = $734.25
Amount spent on transport by family A = (11/100) x 5400= $600.75
Amount spent on transportby family B = 13/100) X 4675 = $607.75
Amount spent ontransport by family C = (9/100) X6675 = $594
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LOL Help: Turn this number to binary: 6,300,556,744,643,768,000
Answer:
101011101110000000100101111101000111011101011101110111011000000
Step-by-step explanation:
I hope this is right
Can you uh please help-
An 11 pound turkey costs $15.00, while the 16 pound turkey is on sale for $20.00. How much would you save with the sale price?
Answer:
I think the answer is 11.7333
HELP ASAP!! PLEASE ANSWER!
Answer:
factor out 5 out of 20x+55
and the answer is 5(4x+11)