Factor the given polynomial completely \. If the polynomial cannot be factored, say that is prime. y^4+10y^3+16y^2
A.y^4+10y^3+16y^2=_____
B. The polynomial is prime
Answers
You’ll end up with y^2(y+2)(y+8)
Here’s my work :)
Answer:
y^4+10Y^3+16y^2=0
y^2(y^2+10y^1+16y^0)=0
y^2+10y+16=0
on doing. factors of 10y we get 8y+2y
y^2+8y+2y+16=0
y(y+8)+2(y+8)=0
(y+2)(y+8)=0
1.y+8=0
y=-8
2.y+2=0
y=-2
hence y =(-8,-2)
Related Questions
Find length indicated
Answers
Answer:
13
Step-by-step explanation:
the equation is
33 = 3x-28+3x-30+x
33=7x-28-30
33=7x-58
+58 +58
91=7x
x=13
DE=13
A car is driving at 80 kilometers per hour. How far, in meters, does it travel in 3 seconds?
Answers
Answer:
It travels 3,600 meters in 3 seconds.
Step-by-step explanation:
90 kilometers an hour is 90 thousand meters per hour.
there are 60 mins in one hour, and 60 seconds in each minute, or 3,600 seconds in one hour.
So in 1 second, the car travels 90,000 meters, or 3,600 seconds.
In 2 seconds, it travels twice that.
2 x 90,000 = 50 meters
-
3,600 meters!
Solve (x - 2 < 5) ∩ (x + 7 > 6).
Ø
{x | x < -1 x < 7}
{x | -1 < x < 7}
Answers
Answer:
Step-by-step explanation:
x - 2 < 5 Add 2 to both sies
x < 7
x + 7 > 6 Subtract 7 from both sides.
x > 6 - 7
x > - 1
Answer -1 < x < 7
The second choice is the answer.
How many gallons of a 60% antifreeze solution must be mixed with 80 gallons of 10% antifreeze to get a mixture that is 50% antifreeze? Use the
six-step method.
You need gallons.
Answers
the amount of antifreeze in the mixture = 0.6x + 8 gallons
This needs to be 50% of the total quantity in the mixture, x + 80
0.6x + 8 = 0.5(x + 80)
0.6x + 8 = 0.5x + 40
0.6 - 0.5 = 40 - 8
0.1x = 32
x = 32 x 10 = 320 gallons
Christina took $20 with her to the movies. She spent $18, then Meredith gave her $10 that she owed her, and finally she spent $8 more. How much money did she go home with? ( im in 7th grade)
Answers
Answer:
she went back home with 4 dollars
So the answer is $4
choosing an odd number 123468957111210
Answers
Answer:
uhh there are a lots of odd number there
probably 3 an including the other
Step-by-step explanation:
>3
Can anyone help meh with 8a plz
Answers
Answer:
X+Y=12
Step-by-step explanation:
7 A plank of wood is 3 m in length. How long
will it be if I cut 5/8.m of wood from it?
Answers
Answer:
1.125m
Step-by-step explanation:
[tex]1 - \frac{5}{8} = \frac{3}{8} \\ 3m \times \frac{3}{8} = 1.125m[/tex]
A store in Iowa advertises that during their Labor Day sale, everything is 25% off, plus they will pay the sales tax. Mike buys shoes for $80 and socks for $5. Since there will be no tax added, what is the final price for Mike’s purchase?
Answers
9514 1404 393
Answer:
$63.75
Step-by-step explanation:
Mike's final price will be 1-25% = 75% of the marked price.
($80 +5)(0.75) = $63.75
The final price for Mike's purchase is $63.75.
Find the slope and the y-intercept of the line.
Y= -5/4x + 7
Answers
Answer:
slope = -5/4 and y-intercept= 7
Step-by-step explanation:
A nail is 3cm long and is driven into wood by blows of a hammer. The first blow drives it in 1.25cm and each successive blow drives it in by 3/5 of the previous distance except the last for which the distance is less. Find how many blows mush be used
Answers
Answer: four blows of hammer
Step-by-step explanation:
The first blow of hammer drove the 3cm nail into wood by 1.25cm leaving 1.75cm of the nail
3/5 or 0.6cm of the nail was also driven into wood by the second blow of hammer leaving 0.7cm of the nail
The third is also drove 0.6cm of the nail in leaving 0.1cm
since 0.1cm is not up to 0.7cm,it will definitely be driven in completely by the fourth blow of hammer.
Please answer ASAP question is in pic^
Answers
Answer:
Step-by-step explanation:
Original equation
√x+6-4 = x
Isolate
√x+6 = 4+x
Raise both sides to the second power
(√x+6)2 = (4+x)2
After squaring
x+6 = x2+8x+16
Rearranged equation
x2 + 7x + 10 = 0
This equation has two rational roots:
{x1, x2}={-2, -5}
Original equation, root isolated
√x+6 = 4+x
Plug in -2 for x
√(-2)+6 = 4+(-2)
Simplify
√4 = 2
Solution checks !!
Solution is:
x = -2
Original equation, root isolated
√x+6 = 4+x
Plug in -5 for x
√(-5)+6 = 4+(-5)
Simplify
√1 = -1
Solution does not check
1 ≠ -1
solve 2y+7>15.2 pls help
Answers
Answer:
[tex]y>4.1[/tex]
Step-by-step explanation:
[Shown in image]
The Solution of the Inequality is y> 2.1.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have,
Inequality: 2y + 7 > 15.2
Now, simplifying the inequality
2y > 15.2-7
2y > 8.2
y> 8.2 /2
y> 2.1
So, the solution is y>2.1
Learn more about Inequality here:
https://brainly.com/question/30228778
#SPJ3
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
Answers
Answer:
6x² + 15
6
Step-by-step explanation:
Let the number be x.
"the square of a number"
x²
"the product of 6 and the square of a number"
6x²
"the product of 6 and the square of a number plus 15"
6x² + 15
The coefficient is the number that multiplies the variable, so it is 6.
The expression that can represent the given statement is 6x²+15, while the value of the coefficient is equal to 6.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the unknown number be represented by x. Therefore, the given statement can be broken down and written as shown below,
1. "the product of 6 and the square of a number"
6x²
2. "the product of 6 and the square of a number plus 15"
6x² + 15
Thus, the expression that can represent the given statement is 6x²+15.
Now, the coefficient of the expression is the number that is in multiplication with the unknown variable, therefore, x in this case. Thus, the value of the coefficient is 6.
Hence, the expression that can represent the given statement is 6x²+15, while the value of the coefficient is equal to 6.
Learn more about Expression:
https://brainly.com/question/13947055
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Last season Derek jester had 500 at bats and got 160 hits . What was jeter batting average
Answers
Batting average = hits / at bats rounded to 3 decimal places.
160/500 = 0.320
Batting average = 0.320
3. What is:
(1 Point)
(3 – 5i) – (7 – 8i)
Answers
Answer:
3i - 4
Step-by-step explanation:
Give that the circumference of a circle is 44, find
i.the radius of the circle
ii.the area of the circle[take pie as 22/7]
Answers
Answer:
the radius is 7
the area is 154
answer pls sussy baka
Answers
Answer:
All besides the first one
Step-by-step explanation:
If you can split the shape in half and both the sides are equal, its semetrical.
Answer:
Of course susposter, 2,3,4,5
Step-by-step explanation:
I assuming you aren't doing specifically horizontal or vertical symmetricality.
If Horizontal- 2,3,4
If Vertical- 4,5
Amy ate 5/8 of a pizza. If the pizza had 16 slices, how many slices of pizza did she eat?
Answers
Answer:
[tex] \frac{5}{8}16 \\ 10[/tex]
Step-by-step explanation:
she ate 10 slices
please mark me brainliest
Can someone please help explain and answer
Answers
Answer:
A=16,000[tex](0.032)^{5}[/tex]
Step-by-step explanation:
Interest for one year=16000*3.2/100
=16000*0.032
Interest for five years=16,000[tex](0.032)^{5}[/tex]
Hope this helps you
If you have any question just ask me
If you think this the best answer please mark me as brainliest
Anyone know how to do this?
Answers
Answer:
0=1/2x^2 -36x+522
or 0= 0.5x^2 -36x +522
hope you were helped by answer. mark me as brainliest
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE FAST SUPER QUICK I GOT NO TIME ITS BEEN 2 HOURS IMAGE BELOW
According to the National Sleep Foundation, teenagers need about 9 hours of sleep each night to function at their best. Unfortunately, many teens do not get nearly this amount. Two samples of 100 teenagers were asked about the average number of hours they sleep each school night. The results are recorded in the table below.
< 4 4 - 6 6 - 8 8 - 10 10 +
Sample #1 2 9 39 44 6
Sample #2 1 12 34 48 5
Based on the results of the survey, which of the following inferences are valid?
Adults need less sleep than teenagers.
About half of teenagers get less than 8 hours of sleep each school night.
At least 10% of teenagers have sleep-related issues, such as depression, insomnia, and drowsiness during the day.
Half of teenagers get the recommended 9 1/4 hours of sleep each school night.
More than 90% of teenagers get between 4 and 10 hours of sleep each school night.
Answers
Answer:
About half of teenagers get less than 8 hours of sleep each school night.
Answer:
About half of teenagers get less than 8 hours of sleep each school night.
Step-by-step explanation:
Help me please I will Mark you brainliest <3
Answers
Answer:
k+4kt+6t
write it fast fast
74. Find F when C = 15 degrees in the formula F = 9/5 C + 32 degrees
Answers
[tex]\\ \sf\longmapsto F=\dfrac{9}{5}C+32[/tex]
[tex]\\ \sf\longmapsto F=\dfrac{9}{5}15+32[/tex]
[tex]\\ \sf\longmapsto F=9(3)+32[/tex]
[tex]\\ \sf\longmapsto F=27+32[/tex]
[tex]\\ \sf\longmapsto F=59[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\frak{F = \bold{Fahrenheit} ; C = \bf Celsius}}[/tex]
[tex]\huge\boxed{\frak{F = \dfrac{9}{5}c + 32}}[/tex]
[tex]\huge\boxed{\frak{F = \dfrac{9}{5}(15) + 32}}}[/tex]
[tex]\huge\boxed{\frak{F = 27 + 32}}[/tex]
[tex]\huge\boxed{\frak{F = 59^\circ}}[/tex]
[tex]\huge\boxed{\frak{Therefore, your \ answer\ is: {F = 59^\circ}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve the equation
5(x + 8) = 4(x - 8) + x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution.
Answers
9514 1404 393
Answer:
A. the solution is x = -72
Step-by-step explanation:
Eliminating parentheses gives ...
5x +40 = 4x -32
x = -72 . . . . . . . . . . . subtract (4x+40)
There is one solution: x = -72.
Help me giving all good reviews!!
Answers
Answer:
152
Step-by-step explanation:
We need to find how many people like dogs but not cats. We can see that 152 people wrote that they like dogs. The other options were that they liked cats, both or neither. So we can assume that the 152 people that picked dogs do not like cats as there is no other option. So this is the answer. Also, you can create a venn diagram with this.
Hope this helped. Brainliest answer would be grateful
A cube has the following dimensions: Length 8.7 cm , width= 5.6 cm and height 3.4 cm. a)Calculate the exact value of the volume of the cube, in 3.
Answers
Step-by-step explanation:
I think the figure is cuboid
Volume of cuboid = l × b × h
Volume = 8.7 × 5.6 × 3.4
Volume = 165.648 cm³
Find the distance between the points ( - 5, 5) and (-2, 3). Round your answer to the nearest tenth
Answers
Answer:
D=√13(Decimal: 3.605551)
3.6
Step-by-step explanation:
Let's find the distance between your two points.
(−5,5);(−2,3)
(x1,y1)=(−5,5)
(x2,y2)=(−2,3)
Use the distance formula:
D=√(x2−x1[tex])^{2}[/tex]+(y2−y1[tex])^{2}[/tex]
=√(−2−−5[tex])^{2}[/tex]+(3−5[tex])^{2}[/tex]
=√(3[tex])^{2}[/tex]+(−2[tex])^{2}[/tex]
=√9+4
=√13
D=√13(Decimal: 3.605551)
You are the manager of a rental car company. A customer, Sandy Furrow, has asked you for an estimate of charges for a nine day rental of an SUV. She expects to drive 670 miles. If the company charges $52.50 per day plus 1612 cents per mile for this category of vehicle, what would be the total rental charge (in $) for Sandy's trip
Answers
Using a linear function, it is found that the total rental charge will be of $159.7.
-----------
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which in the context of this problem, is the cost per mile.b is the y-intercept, which in the context of this problem, is the fixed cost.-----------
Cost of 16 cents per mile means that [tex]m = \frac{16}{100} = 0.16[/tex]Cost of $52.50 per day means that [tex]b = 52.50[/tex]Thus, the linear function for the charge y in function of the number of miles x is:
[tex]y(x) = 0.16x + 52.50[/tex]
-----------
The cost of driving 670 miles is [tex]y(670)[/tex], that is, y when x = 670.[tex]y(670) = 0.16(670) + 52.50 = 159.7[/tex]
The total cost of her trip will be of $159.7.
A similar problem is given at https://brainly.com/question/20849340
Evaluate the expression below.
7×3−4×(225÷32)×2
Answers
Step-by-step explanation:
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
7×3 -4(225÷32)×2
7×3 -4(7.03)×2
21 - 8 (7.03)
21 - 56.25
= - 35.25
