Select the correct answer from the drop-down menu. Find the polynomial. {5} is the solution set of.
Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that the {5} is the solution set of the function, therefore, we can write,
[tex]x = 5\\(x-5 )= 0[/tex]
Thus, (x-5) is one of the factors of the polynomial.
Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.
[tex](x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25[/tex]
Hence, the polynomial whose solution set is {5} is x²-10x+25.
Learn more about Polynomials:
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Answer:
x²-10x+25
Step-by-step explanation:
It was correct for me
Calculate the velocity of a baseball that travels 100 m in 5 sec.
True or false? When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the vertical method is more accurate than the horizontal method.
False
True
Answer:
true
Step-by-step explanation:
I mean it sound true
Answer:
true
it sounds true to me
Adelina wants to earn at least $120 a week to help her parents with bills. She determines that
she can charge $15 an hour to babysit and can earn $12 an hour bagging groceries. She can
only work 10 hours per week. Write and graph a system of linear inequalities that shows the
number of hours she can work so she can help her parents. Use x for the number of hours
babysitting and y for the number of hours bagging groceries.
The system of linear inequalities that shows the number of hours as described is;
x + y <= 1015x + 12y <= 120System of linear inequalitiesAccording to the task content;
Adelina wants to earn at least $120 a week to help her parents with bills and;She can only work 10 hours per week.Hence, it follows that;
x + y <= 1015x + 12y <= 120Read more on inequalities;
https://brainly.com/question/25275758
Answer:
5 hours babysitting, 4 hours bagging
OR
9 hours babysitting, 1-hour bagging.
Step-by-step explanation:
In which sections of your organizer should the outline be located?
a. Heading
C. Vocabulary
b.
Topic
d.
None of these
Please select the best answer from the choices provided
А
Ο.Ο Ο
B
С
Answer:
it is the heading so pick that and you answer is done
A vertical plate is submerged in water and has the indicated shape.
A triangle is submerged in water pointed up. The top most vertex of the triangle touches the surface of the water. The base of the triangle is 6 m and is parallel to the surface of the water. The height of the triangle is 15 m.
Express the hydrostatic force (in N) against one side of the plate as an integral (let the positive direction be upwards) and evaluate it. (Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.)
The hydrostatic force is given by the integral of the force acting on
small horizontal strips from the base to the top of the triangle.
Response:
The hydrostatic force one one side of the plate is 4.41 MNHow can the hydrostatic force acting on the plate be calculated?The given parameters are;
Base of the triangle = 6 m
Height of the triangle = 15 m
Acceleration due to gravity, g ≈ 9.8 m/s²
Weight density of water, ρ ≈ 1,000 kg/m³
Required:
Hydrostatic force on one side of the plate
Solution:
Considering a thickness, dx, having area, dA = y·dx
The pressure on the strip = ρ·g·x
Force on the strip, dF = ρ·g·x·y·dx
Using similar triangles, we have;
[tex]\dfrac{x}{15} = \dfrac{y}{6}[/tex]
Which gives;
[tex]y = \dfrac{x}{15} \times 6 = \mathbf{ \dfrac{2}{5} \cdot x}[/tex]
Therefore;
[tex]dF = \rho \cdot g \cdot x \cdot \dfrac{2}{5} \cdot x \cdot dx = \mathbf{\rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} \cdot dx}[/tex]
Which gives;
[tex]F =\displaystyle \int\limits^{15}_0 { \rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} } \, dx = \mathbf{\left[\rho \cdot g \cdot x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0}[/tex]
Therefore;
[tex]F = \rho \cdot g \cdot \left[x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0 = \mathbf{ \rho \cdot g \times 15^3 \cdot \dfrac{2}{3\times 5}} = 450 \cdot \rho \cdot g[/tex]
Which gives;
F = 450 m³ × 1,000 kg/m³ × 9.8 m/s² = 4,410,000 N = 4.41 MN
The hydrostatic force one one side of the plate, F = 4.41 MNLearn more about hydrostatic force here:
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a line drawn to represent the inequality y>x-1 would be unbroken or broken?
Answer:
broken
Step-by-step explanation:
You use a dashed line when you have < or >.
When there is the "or equal to" bar under the <, > symbols then you use a solid line.
What are the roots of the equation x^2-10x+74=0x
2−10x+74=0 in simplest a+bia+bi form?
Answer:
x= 38/5
Step-by-step explanation:
Answer:
Quadratic equation
Step-by-step explanation:
The formula is - b+- square root b^2 - 4ac all divided by 2a
a=1
b=-10
c=74
So substitute the values and remember to keep the value in a bracket so the outside operator affects it
-(-10)+- square root (-10)^2 - 4(1)(74) all divided by 2(1)
Giving you 2 answers of x as their is a positive and negative square roots
X=-138
X=
Matt makes $56,980 a year as an engineer. He gets paid once a month. How much would his paycheck be
There are 12 months in a year, so Matt would theoretically earn
$56,980 / 12 ≈ $4,748.33
each month. (But his earnings will certainly be taxed, so the real answer is less than this.)
Answer: $4,748
Step-by-step explanation: A year is 12 months and since he gets paid once a month, then you divide $56,980 by 12, and that equals $4,748 a month.
Hope it helps and have a great day!
What is a Function?
What is not a Function?
Answer:
Function : 1 input 1 output
not a Function : 1 input more than 1 output
ck12org
Kari has been driving at a constant speed for the last hour. If Kari is traveling at a speed of 65 miles per hour, which equation best represents the relationship between time in hours, t, and distance in miles, d?
d = 65t
t = d + 65
t = 65d
d = t + 65
Answer:
(a) d=65t
Step-by-step explanation:
If, for example she drove 10 hours, and she drove 65 miles each hour:
d=?
t= 10 hr
Speed= 65 mph
The formula for distance (check triangle linked below) is d=st (s*t)
so,
d=65t
hope this helps. It really simple, But I don't think I explained it too well.
Give the equation of the given graph
PLEASE EXPLAIN. (STEP BY STEP)
For the inequality, find TWO values for x that make the inequality true: 5x<2
A.-2
B.3
C.-5
D.-6
E. 5
Answer:
a and c
Step-by-step explanation:
5(-2)<2
-10<2
5(-5)<2
-25<2
help?
Calculate the total surface area of the prism.
surface area=total area of rectangle
the base total Surface area
=(LW+lw)2
=(8×4+6×3)2
=(32+18)2
=50×2
=100cm²
surface area of a rectangle
4×12
48cm²
SA of another rectangle
5×12
60cm²
Sa of contact base
8×12=96cm²
sa of height rectangle
10×12
120cm²
Sa of another rectangle
6×12
72cm²
area of the top=3×12
36cm²
total area=100cm²+48cm²+60cm²+96cm²+120cm²+72cm²+36cm²
sa=532cm² is the answer
hope it was helpful.
please mark brainliest
chad is making an orange smoothie. the recipe call for 3 parts of frozen yogurt to 5 parts of orange juice. how many ounces of both juice and yogurt dose he use he needed to get a total to get 16 ounces
Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.
Step-by-step explanation:
3 parts frozen yogurt
5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces
Sean was at batting practice. He swung 25 times, but only hit the ball 15 times.
create 2 different ratios to the scenario.
a:hits to swing value(as a decimal)
b:miss to swings(as a decimal)
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Set up proportion and cross multiply to solve:
9/2x-1 = 15/3x
x = 5
Answer:
Step-by-step explanation:
An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So
9/(2x - 1) = 15/3x Divide 3 into 15
9/(2x - 1) = 5/x Cross multiply
9x = 5(2x - 1) Remove the brackets
9x = 10x - 5 Switch sides.
10x - 5 = 9x Subtract 9x from both sides
10x - 9x - 5 = 0 Combine
x - 5 = 0 Add 5 to both sides.
x = 5
The base of the pyramid is a square, with edges of 115 feet. The height of each lateral face is approximately 91.4 feet. How much glass was needed to construct the sides of the pyramid?
5,255.5 square feet
15,766.5 square feet
42,044 square feet
21,022 square feet
Check the picture below.
so each triangular face has a height of 91.4 and a base of 115, and there are four of them, now, we're only considering the "lateral area", that excludes the base.
[tex]\stackrel{\textit{area of 4 triangles}}{4\left[ \cfrac{1}{2}(115)(91.4) \right]}~~\implies ~~ 21022[/tex]
There are 10 paint colors in a set, and 20% of the paint colors are shades of blue. How many of the paint colors are shades of blue?
Answer:
2 are shades of blue.
Step-by-step explanation:
[tex]10 \times 20\% \\ = 2[/tex]
Hi!!! peeps....... Please help me.
Solve: X-(7y-3x)-11y
Answer:
heres a screenshot of the correct answer
Hope This Helps!!!
Answer:
4x-18y
Step-by-step explanation:
[tex]x-\left(7y-3x\right)-11y[/tex]
Let's apply the distributive law: -a(a-b)=-a+b
[tex]-\left(7y-3x\right)=-7y+3x[/tex]
[tex]x-7y+3x-11y[/tex]
Now, we'll Group terms
[tex]x+3x-7y-11y[/tex]
[tex]4x-18y[/tex]
Hope this helps!
please help me take this pleaseee
Answer:
3x² + 2x + 18
Step-by-step explanation:
24x² + 16x + 144 .......simplify by 4
6x² + 4x + 36
3x² + 2x + 18
Answer:
c
Step-by-step explanation:
3*8=24
2*8=16
18*8=144
then you put the variables behind em :)
Its algebra 2 step equation it is p/9 + 89 = -103
[tex] \leadsto \sf \dfrac{p}{9} + 89 = - 103[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf \dfrac{p}{9} = - 192[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf p = - 192 \times 9[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf p = - 1728[/tex]
Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3
per gigabyte. She wants to keep her bill at $57.20 per month. How many
gigabytes of data can she use while staying within her budget?
Answer:
3.4 gigabytes
Step-by-step explanation:
Because 57.20$ divided by 47 is 10.20 and 3 goes in to 10.2 3.4 times.
THIS AN ASTRONOMY QUESTION
Describe a general rule for how the angle that the parallels of declination make with the horizon are related to the latitude of the observer.
Answer:
The positions of your north celestial pole and south celestial pole change as you change latitude on the Earth, as you move north or south. At the Earth's equator, the Celestial Equator is directly overhead, and the poles are on opposite sides of the horizon. All stars are visible as they rise, culminate at the meridian, and set. As you move north, the Celestial Equator mirrors your movement, moving south the same number of degrees away from the zenith. The altitude of any star will change with the observer's latitude (as well as the time of night).
Note: only the altitude of the star changes NOT their coordinates. The star's celestial coordinates remain the same.
Step-by-step explanation:
Declination is measured in degrees north (+) or south (-) of an imaginary line called the Celestial Equator (CE). The Celestial Equator is the projection of the Earth's Equator onto the Celestial Sphere. The CE has a declination of 0 degrees, by definition. At dec = +90 degrees (90 degrees N) is the North Celestial Pole (NCP), the projection of the Earth's North Pole onto the Celestial Sphere. The South Celestial Pole (SCP) is at dec = -90 degrees.
An Example would be:
You move 30 degrees North of the equator, hence, the Celestial Equator has moved away from the zenith, 30 degrees to the south.
While the NCP has risen 30 degrees into the sky and the SCP has sunk 30 degrees below the horizon.
If you moved south, the opposite would have occurred as the Celestial Equator moved north of the zenith.
Can someone help pls
Solve using factorisation
12x² - 16x - 35 = 0
Answer:
(5/2, - 7/6)Step-by-step explanation:
12x² - 16x - 35 = 012x² + 14x - 30x - 35 = 02x(6x + 7) - 5(6x + 7) = 0(2x - 5)(6x + 7) = 01)
2x - 5 = 0 2x = 5x = 5/22)
6x + 7 = 06x = - 7x = - 7/6If LC = 10, find LH.
A. 20
B. 25
C. 5
D. 10
Answer:
20
Step-by-step explanation:
LC = 1/2 LH
2LC = LH
2(10) = LH
LH = 20
Answer:
B. 20
Step-by-step explanation:
Because the distance from L to C is ten so the distance from L to H is double of the distance from L to C.
solve for x. enter the solutions from least to greatest.
Answer:
Step-by-step explanation:
x+5=8
x=3
x+5= -8
x=-13
lesser x=-13
greater x= 3
Помогите пожалуйста сделать это задание новая тема не понимаю
Answer:
heyyy here's your answer hope it helps you
Step-by-step explanation:
1. 4a+7a=11a.
2.20y-6y=14y.
3.8m-8m=0.
4.9b+6=9b+3.
The function f(x) = 2x 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the time the flock traveled in hours. Solve f divided by g of 5, and interpret the answer. 9; the birds' rate in miles per hour one ninth; the number of birds in the flock 9; the number of birds in the flock one ninth; the birds' rate in miles per hour.
Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.
What is speed?Speed can be defined as the rate of change in the position of an object. It is given as,
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Given to us
Distance traveled, f(x) = 2x+26
Time, g(x) = x − 1
As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.
We need to find f divided by g of 5, which is the speed of the flock,
[tex]Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}[/tex]
[tex]Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}[/tex]
[tex]Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour[/tex]
Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.
Learn more about Speed:
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Answer:
a
Step-by-step explanation:
help pleas im stuck.
Answer:
its c
Step-by-step explanation: