Answer:
The ordered pairs of [tex]p(x) = x^{2}-2\cdot x -35[/tex] are [tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex], respectively.
Step-by-step explanation:
Let be [tex]p(x)[/tex] a quadratic expression whose two real zeros are real, a value of [tex]x[/tex] is a zero of the expression when [tex]p(x) = 0[/tex]. The factored form of the expression is represented by [tex]p(x) = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the zeroes of the polynomial.
If [tex]p(x) = x^{2}-2\cdot x -35[/tex], then the ordered pairs that represent the zeros are:
[tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex]
Quadratic equation has a leading coefficient of the second degree. The ordered pairs of the quadratic equation are (-5,0) and (7,0).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As the factors of the quadratic equation are given, therefore, equating the factors with zero in order to get the value of x.
[tex](x+5)=0\\x = -5[/tex]
[tex](x-7)=0\\x = 7[/tex]
Now, if we see the quadratic equation or the function it is written as,
[tex]y = x^2-2x-35 \\\\ x^2-2x-35 = 0[/tex]
Therefore, the value of y is 0.
Thus, the ordered pairs of the quadratic equation are (-5,0) and (7,0).
Learn more about Quadratic Equation:
https://brainly.com/question/2263981
besties i need help again btw it's not -48 hdhd
Step-by-step explanation:
-6 / 24/3
= -6 x 3/24
= -18/24
= -6/8
= -3/4
A gallon of paint covers 20 ft of surface area. How many revolutions can an 8 in, wide paint roller with a diameter of 3 in make before using up a 5.
gal can of paint?
A about 127
B about 382
C about 600
D about 191
Answer:
D. about 191 ayan ang answer d.
Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle?
Answer:
Nope. Does not satisfy pythagoras theorem
Step-by-step explanation:
72 squared does nit equal 45 squared plus 56 squared
The use of the internet is constantly growing. How many randomly selected adults must be surveyed to estimate the percentage of adults in the United States who now use the internet? Assume we want to be 99% confident that the sample percentage is within 2 percentage points of the true population percentage.
a) Assume that nothing is known about the percentage of adults using the internet.
b) Assume it was estimated that 72% of adults in the United States use the internet.
Which unit rate is equivalent to 13 miles per gallon? Pls help!!!
Answer:
twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2
(3+7i)+(-5+2i)-(-7+6i)
A line with a slope of 1 passes through the point (8,6). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-6=1(x-8)
y-6=1x-8
y=1x-8+6
y=1x-2
Please help I need to get this done and I am confused
Answer:
Step-by-step explanati
7,5
6,8
2,4
1,3
What is the total area of the shape?
124 inches squared
100 inches squared
21 inches squared
39 inches squared
Answer:
51 in.
Step-by-step explanation:
:]
Answer:
124 inches square
Step-by-step explanation:
First area of that rectangle 20×5 = l×b = 100
Second area of that triangle 6×8×1/2 = 24
Third add both rectangle+triangle=100+24=124
What is -6x+4(-2x+8y)-2y+4
Answer:
-14x + 30y + 4
Step-by-step explanation:
-6x + 4(-2x + 8y) - 2y + 4
take out the parentheses
4(-2x + 8y) = -8x + 32y
-6x - 8x + 32y - 2y + 4
solve for the x's then y's
-6x - 8x = -14x
32y - 2y = 30y
you are done
-14x + 30y + 4
I need help on this please!
Answer:
H, G, F, E
Step-by-step explanation:
If it isn't it's G, H, F, E
Hope this helps
Which of these linear equations best describes the given model? Choose 1 answer: Choose 1 answer: (Choice A) A \hat y=10x+20 y ^ =10x+20y, with, hat, on top, equals, 10, x, plus, 20 (Choice B, Checked) B \hat y=20x+20 y ^ =20x+20y, with, hat, on top, equals, 20, x, plus, 20 (Choice C) C \hat y=-20x+20 y ^ =−20x+20y, with, hat, on top, equals, minus, 20, x, plus, 20 Based on this equation, estimate the score for a student that spent 3.83.83, point, 8 hours studying.
Question:
Which of these linear equations best describes the given model? Choose 1 answer:
Choose 1 answer:
A [tex]\hat y=10x+20[/tex]
B [tex]\hat y=20x+20[/tex]
C [tex]\hat y=-20x+20[/tex]
Based on this equation, estimate the score for a student that spent 3.8 hours studying.
Answer:
[tex]\hat y = 20x +20[/tex]
Score of 96 for studying 3.8 hours
Step-by-step explanation:
Given
See attachment for graph
From the straight line of trend, we have:
[tex](x_1,y_1) = (0,20)[/tex]
[tex](x_2,y_2) = (2,60)[/tex]
The slope (m) is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{60 - 20}{2 - 0}[/tex]
[tex]m = \frac{40}{2}[/tex]
[tex]m = 20[/tex]
The equation is calculated using:
[tex]\hat y = m(x - x_1) + y_1[/tex]
This gives:
[tex]\hat y = 20(x - 0) +20[/tex]
[tex]\hat y = 20(x ) +20[/tex]
[tex]\hat y = 20x +20[/tex]
Solving (b): When study hours is 3.8
This means that [tex]x= 3.8[/tex]
So:
[tex]\hat y = 20x +20[/tex]
[tex]\hat y = 20 * 3.8 + 20[/tex]
[tex]\hat y = 96[/tex]
A point is chosen at random on AK. What is the probability that the point will be on overline CD ? Don't forget to reduce.
Answer:
[tex]P(CD) = \frac{1}{10}[/tex]
Step-by-step explanation:
Given
[tex]AK = 10[/tex]
See attachment for line AK
Required
Probability of choosing CD
From the attachment:
[tex]CD=D-C[/tex]
[tex]CD=3 - 2[/tex]
[tex]CD = 1[/tex]
So:
[tex]P(CD) = \frac{CD}{AK}[/tex]
[tex]P(CD) = \frac{1}{10}[/tex]
5) Choose the graph which represents the solution to the inequality:
5<-5+2x
Where is the Graph.
Step-by-step explanation:
LOL
A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%
Answer: 20%, 17%, 29%, 1.5%
Step-by-step explanation:
Given
The likelihood of rain is given by the inequality
[tex]s<30[/tex] i.e. solution to this inequality is less than 30%
So, among the given values, the following are the solution
20%, 17%, 29%, 1.5%
These values are less than 30%; therefore, they are the solution
Answer:
20%, 17%, 29 1/2%, and 1.5%.
Step-by-step explanation:
good luck on your other work
6а + 9 = 33
Need to solve
Answer: a=4
Step-by-step explanation:
6a+9=33
Subtract
6a=24
Divide
a=4
Answer:
a=4
Step-by-step explanation:
[tex]6a+9=33\\33-9=24\\24\div6=4\\a=4[/tex]
The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)
The value of the quotient of 50 and 5 subtracted from 20 that can be given as 10.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
Firstly, we have the quotient of 50 and 5. This can be written as
[tex]\dfrac{50}{5}[/tex]
And we know that this can be written as 10.
Now we subtract it from 20. Then we have the number 20 and we subtract 10 from it. Then it can be written as
20 - 10
On subtracting, we have
20 - 10 = 10.
More about the subtraction link is given below.
https://brainly.com/question/4319655
1,5,9,13. what's the 8th 13th 17th and 23rd term
Answer:
8th 29
13th 53
17th 69
23rd 91
work out 11. 28- 2.843
Answer:
25.157
Step-by-step explanation:
28-2.843=25.157
1
-0.4 3 0 8 I have to show all my work this question
Answer:
0.5462
Step-by-step explanation:
A giraffe is 5 meters 20 centimeters tall. An elephant is 1 meter 77 centimeters shorter than the giraffe. A rhinoceros is 1 meter 58 centimeters shorter than the elephant. How tall is the rhinoceros?
Answer:1 meter and 58 centimeters
Which equation represents an inverse variation?
Answer:
C. y=3/x
Step-by-step explanation:
hope this helps, sorry if I am wrong
Match these items.
1 .
friction
a force causing rotation
2 .
efficiency of lever
highly efficient 1st class lever
3 .
torque
output divided by input
4 .
streamlined shaped
reduces friction on airplane
5 .
equal-arm balance
loss of energy
Answer:
4 streamlined shapes reduces friction on airplane
A streamlined shape reduces friction on an airplane. The correct statement is 4.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
To determine the correct statement will be
1. Friction is a force causing rotation.
The statement is incorrect because the cause of rotation is force.
2. Efficiency of the lever is a highly efficient 1st class lever.
The statement is incorrect.
3. Torque is output divided by input.
The statement is incorrect because the output divided by input is known as productivity.
4. Streamlined shape reduces friction on an airplane.
The statement is correct.
5. Equal-arm balance loss of energy.
The statement is incorrect.
More about the decision-making link is given below.
https://brainly.com/question/3369578
#SPJ2
Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j
What is the distance between the points (-4,5) and (8,9)
Find the equation of the line.
Answer:
Step-by-step explanation:
Given the 2 similar triangles, what is the length of LK?
Answer:
7.5
Step-by-step explanation:
the term similar triangles means they have the same angles and the same scale factor so if we look at rs and jl you see they are 12 and 6. thats is a scale factor of .5 so you take 15 and multiply it by .5 or you can divide it by 2.
what is the diameter of the circle: (x-4)^2+(y-2)^2=9 ?
Answer:
The diameter is 6
Step-by-step explanation:
Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Find the area the carpet needs to cover. Solve on paper. Then check your work on Zearn. 711 1 3 tiled floor The carpet needs to cover ft2.
Answer:
[tex]Area = 49\frac{25}{36}[/tex]
Step-by-step explanation:
Given
Tile
[tex]Length = 4\frac{5}{6}[/tex]
[tex]Width = 2\frac{1}{3}[/tex]
See attachment for dimension of the floor
Required
Determine the area covered by the carpet
From the attachment, the dimension of the floor is:
[tex]Length = 12\frac{1}{4}[/tex]
[tex]Width = 5[/tex]
Calculate Area
[tex]Area = Length * Width[/tex]
[tex]Area = 12\frac{1}{4} * 5[/tex]
[tex]Area = 61\frac{1}{4}[/tex]
The area of the tiles is:
[tex]Area = 4\frac{5}{6} * 2\frac{1}{3}[/tex]
[tex]Area = \frac{29}{6} * \frac{7}{3}[/tex]
[tex]Area = \frac{203}{18}[/tex]
[tex]Area = 11\frac{5}{18}[/tex]
So, the carpet area is:
[tex]Area = Floor\ Area - Tile\ Area[/tex]
[tex]Area = 61\frac{1}{4} - 11\frac{5}{18}[/tex]
To improper number
[tex]Area = \frac{245}{4} - \frac{208}{18}[/tex]
Take LCM
[tex]Area = \frac{2205 - 416}{36}[/tex]
[tex]Area = \frac{1789}{36}[/tex]
[tex]Area = 49\frac{25}{36}[/tex]
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )