Answers
The two numbers that satisfy the condition quadratics have is
1. They must add to 6
2, They must multiply to - 16
All quadratics have to satisfy these two things.
The only numbers that will are 8 and - 2
So the factors are
(x - 8)(x + 2) = 0
x - 8 = 0
x = 8
and
x + 2 = 0
x = - 2
Related Questions
Jamal wrote the following statements: Statement 1: Perpendicular lines are two lines that intersect at 90° angles. Statement 2: All right angles are congruent. Which geometry term does each statement represent?
Answers
Statement 1: definition; Statement 2: theorem
Hope this helps
A similarity transformation maps ABC to JKL. The measure of of preimage ABC is 105°. The scale factor of the dilation in the similarity transformation is 1.5. If in the preimage corresponds to in the image, what is m?
Answers
A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat? 3. Draw a picture or a chart that shows the information and the question
Answers
3,442 people have to stand
Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates of the vertices.
R(1, -3), S(4, -1), T(2, 2), U(-4, -2)
Click on the graphic to complete the answer.
Answers
Slope ST: -3/2
Slope TU: 4/6 = 2/3
Slope UR: -1/5
Sides RS and TU have the same slope, so they are parallel.
The slope of side ST is the negative reciprocal of the slopes of sides RS and TU, so side ST is perpendicular to sides RS and TU.
Side UR is not parallel or perpendicular to any other side.
The quadrilateral is a trapezoid.
The sum of three consecutive integers is -96. What is the larger integer
Answers
-96 = x + (x + 1) + (x + 2)
Now we can solve algebraically for x.
-96 = x + (x + 1) + (x + 2)
-96 = x + x + 1 + x + 2
-96 = 3x + 3
-99 = 3x
-33 = x
The first integer is x, so the first integer is -33.
The second integer is x + 1, so the second integer is -32.
The third integer is x + 2, so the third integer is -31.
Let's quickly add these integers to see if their sum is -96.
-33 + (-32) + (-31)
-33 - 32 - 31 = -96
These three consecutive integers add to equal -96. The question asks for the larger integer. Recall that the higher the number in front of a negative sign, the smaller the number. -2 is smaller than -1. That means the order of the integers from largest to smallest is -31, -32, -33.
Answer:
The largest integer is -31.
19) What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 3?
A) shifts the line 3 units up
B) shifts the line 3 units down
C) increases the slope of the line by a factor of 3
D) decreases the slope of the line by a factor of 3
Answers
What is the factored form of the following expressions x^2-100xy+24y^2
Answers
simplifying:
x^2 + - 100xy + 24y^2
reorder the terms:
- 100xy + x^2 + 24y^2
Final Result:
- 100xy + x^2 + 24y^2
So I just wanna see if I got this one correct my question is.... Each volume of an encyclopedia is 2 1/3 inches wide. How many volumes will fit on a shelf 18 inches wide?
Answers
let's first convert the mixed fraction to "improper" and then do the division
[tex]\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\\\ \cfrac{18}{\quad\frac{7}{3} \quad }\implies \cfrac{\frac{18}{1}}{\quad\frac{7}{3} \quad }\implies \cfrac{18}{1}\cdot \cfrac{3}{7}\implies \cfrac{54}{7}\implies 7\frac{5}{7}[/tex]
of course, you won't be chopping off a volume, so only the whole number will go from the quotient.
here Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).
y − 4 = −one half(x + 6)
y − 4 = 2(x + 6)
y + 6 = −one half(x − 4)
y + 6 = 2(x − 4)
Question 2 (Multiple Choice Worth 2 points)
Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.
x − 2y = −12
y = one halfx
y = one halfx + 6
y = one halfx + 9
Question 3 (Multiple Choice Worth 2 points)
Given the equation y − 4 = three fourths(x + 8) in point-slope form, identif
Answers
1. y − 4 = −one half(x + 6)
Solution:
the point is 4
y=4
y-4=0
the slope is,
y2-y1 / x2-x1
0-4/ 2-(-6)
-4/8 or -1/2
2. The answer is y = one half x + 6
y − 3 = one half(x + 6)
y-3= one halfx+3
y=one halfx+3 +3
y = one half x + 6
3. The solution for y − 4 = three fourths(x + 8) is,
y-4 = 3/4x + 3/4(8)
y-4 = 3/4x +6
y-4-6=3/4x
y-10=3/4x
-3/4+ y =10
further solution for its standard form is
(4)y-3/4x =10(4)
y-3x=40
y-3x-40 = 0
but from the choices, the answer is
−three fourthsx + y = 10
For the function f(x) = (8-2x)2 ,find f-1 . Determine whether f-1 is a function.
A.
f-1(x) = ;f-1 is a function
B.
f -1 (x) = ; f-1 is not a function
C.
f-1(x) = ;f-1 is not a function
D.
f-1(x) = ; f-1 is a function
Its not A!,
Answers
f-1(x) = 8±√x/2; f-1 is not a function, is the answer
What is the simplified form of 8b^3c^ 2a + 4b^3c^2?
Answers
[tex]= (8+4) b^{3} c^2[/tex]
[tex]=12 b^{3} c^2[/tex]
Be carefully, normally there is no a in your expression. I think you made a mistake.
Hope this helps !
Photon
More than 450 students traveled to a state park for a field trip. The school allowed 6 students to travel by car, and the rest traveled on 11 buses, each of which held the same number of students. If there were S students in each bus, which inequality best represents this situation?
Answers
S > (450 - 6)/11
So now get the 450 alone:
S×11 > 450 - 6
11S +6 > 450 -6+6
11S + 6 > 450
Olivia just graduated with an Associates degree and is working as a secretary in a firm earning 9.75 an hour.Her contract stipulates that she will get an annual rasie of 6% until she reaches the rate of $15.50 an hour. sheshow long would it take for Olivia to earn $15.50 an hour? math
Answers
This is an exponential equation. We could write and solve the equation below to find the answer.
9.75(1.06)^x = 15.5
(1.06)^x = 15.5/9.75 Divide both sides by 9.75
x (log(1.06)) = log(15.5/9.75) Take the log of both sides and bring down the x.
x = log(15.5/9.75) / log(1.06) Divide both sides by log(1.06)
x = 7.956
Therefore, we can round it up to 8 years.
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for the x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Write an equation that can be used to find x.
Answers
77.49 - 3.99 = 12.25 * x
73.5 = 12.25x
(Divide both sides by 12.25)
6 = x
So, she bought six shirts
Have a nice day
The perimeter of a rectangle is 256 inches. How long are the sides if the length exceeds the width by 16 inches? mark X represent the width of the rectangle and write the Equation 2X +2(x+16)=256. Solving for X the width of the rectangle is what
Answers
-------------------------------------------
Equation Given
-------------------------------------------
2x +2(x + 16) = 256
-------------------------------------------
Apply Distributive Property
-------------------------------------------
2x + 2x + 32 = 256
-------------------------------------------
Combine like terms
-------------------------------------------
4x + 32 = 256
-------------------------------------------
Subtract 32 from both sides
-------------------------------------------
4x = 224
-------------------------------------------
Divide by 4 on both sides
-------------------------------------------
x = 56
-------------------------------------------
Answer: The width is 56 inches.
-------------------------------------------
3. Use the description of each triangle to draw a picture of the triangle. Write and solve equations to find missing angle measures when necessary. Label the measures of all angles of the triangle and mark congruent sides and right angles. (You do not need to draw the triangle exactly to scale.) (a) right isosceles triangle (b) equiangular (all three angles congruent) isosceles triangle (c) acute scalene triangle with two angle measures of 57° and 82°
Answers
For part A, the right isosceles triangle, you must have a triangle with a right angle, 90 degree. Then, the two legs must be congruent.
For part D, draw a triangle with all 3 angles being 60. This will make the sides congruent also.
For part C, the three measures of your triangle will be 57, 82 and 41. The measures of the sides don't matter, they will all be different.
Using the graph below, calculate the average rate of change for f(x) from x = 2 to x = 6.
exponential function going through points 2, 2 and 6, 6
−4
−1
1
4
Answers
This means
f(2) = 2
f(6) = 6
The average rate of change of f(x) x = 2 to x = 6 will be:
[tex] \frac{f(6)-f(2)}{6-2} = \frac{6-2}{4}= \frac{4}{4}=1 [/tex]
Thus the average rate of change of given function from x = 2 to x = 6 is 1
Answer:
The average ate of change for f(x) from x=2 to x=6 is one, (1). Also seen as choice c.
Step-by-step explanation:
What is the formula of quadratic equations?
Answers
Final answer:
The quadratic formula is used to find the solutions of quadratic equations. It is x = (-b ± √(b² - 4ac)) / (2a). The discriminant determines the nature of the solutions.
Explanation:
The formula for quadratic equations is:
x = (-b ± √(b² - 4ac)) / (2a)
Quadratic equations are equations of the form ax² + bx + c = 0. The quadratic formula is used to find the solutions or roots of these equations. The discriminant, b² - 4ac, determines the nature of the solutions: if it is positive, there are two real solutions; if it is zero, there is one real solution; and if it is negative, there are two complex solutions.
A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?
Answers
(3/10) * (4/10)=3/25.
Answer:
[tex]\texttt{Probability}=\frac{3}{25} [/tex]
Step-by-step explanation:
Probability is the ratio of number of favorable outcome to total number of outcomes.
Total number of socks = 4 + 3 + 3 = 10
Number of blue socks = 3
Number of red sock = 4
[tex]\texttt{Probability of selecting blue sock}=\frac{3}{10} \\ [/tex]
[tex]\texttt{Probability of selecting red sock}=\frac{4}{10} \\ [/tex]
For finding the combined probability we need to multiply both the values
[tex]\texttt{Probability that the first sock is blue and the second sock is red}=\frac{3}{10}\times \frac{4}{10}=\frac{12}{100}=\frac{3}{25} \\ [/tex]
[tex]\texttt{Probability}=\frac{3}{25} [/tex]
Rugs sell for $8 per square foot. Beth bought a 9-foot-long rectangular rug for $432. How wide was the rug?
Answers
The rug had an area of 54 ft²'
54 ÷ 9 = 6 ft
The rug had a width of 6 ft.
Divide 432 by 8 to find the square foot of the rug.
[tex]432 \div 8=54[/tex]
The rug has an area of 54 square foot.
The rug must have the shape of a rectangle.
The formula for the area of a rectangle is [tex]A=wl[/tex] where A is the area, w is the width, and l is the length.
We know the area and the length.
Plug it into the formula. You get the following.
[tex]9w=54[/tex]
Divide both sides by 9 to get the width.
[tex]w=6[/tex]
The width of the rug was 6 feet, which is the same as saying the rug was 6 feet wide. Hope this helps! :)
Does the point (3,7) lie on inside or outside the circle
Answers
PLEASE URGENT MATH HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.
mXZ=140∘
mXSZ=220∘
What is the measure of ∠XYZ ?
Answers
XYZ = 1/2(XSZ - XZ)
XYZ = 1/2 (220 - 140)
XYZ = 1/2 (80)
XYZ = 40
The measure of angle XYZ is 40 degrees.
Hope this helps =)
What is the equation of a vertical line passing through (−5, −2)?
x = −5
y = −2
x = −7
y = −3
Answers
here the equation is x = -5 ( the x coordinate of (-5,-2)
Answer:
x = -5
First option is correct.
Step-by-step explanation:
The vertical line is passing through the point (−5, −2).
The equation of a vertical line is in the form x = k
For vertical line, the x-coordinate of each point that lie on the line remains same. Only the y-coordinate is different
For the given point, the x-coordinate = -5
Hence, k = -5
Therefore, the equation of line is x = -5
First option is correct.
Find two positive consecutive odd integers such that the square of the larger integer is one less than twice the square of the small integer.
Answers
x---------------> first positive odd integer
x+2------------> second positive consecutive odd integer
we know that
(x+2)²=2x²-1---------> x²+4x+4=2x²-1-------> x²-4x-5
x²-4x-5=0
using a graph tool--------> to calculate the quadratic equation
see the attached figure
the solution is
x=5
the answer is
the first positive odd integer x is 5
the second positive consecutive odd integer x+2 is 7
Answer:
smaller integer = 5
Larger integer = 7
Step-by-step explanation:
Let the first odd integer be x
Then the next consecutive integer will be x + 2
Now, The square of larger integer is 1 less than twice the square of the smaller integer.
As, x < x + 2
Smaller integer = x
Larger integer = x + 2
⇒ (x + 2)² + 1 = 2·x²
⇒ x² + 4 + 4x + 1 = 2x²
⇒ x² - 4x - 5 = 0
⇒ x² - 5x + x - 5 = 0
⇒ x(x - 5) + 1(x - 5) = 0
⇒ (x - 5)(x + 1) = 0
⇒ x = 5 or x = -1
But we need positive integer so x = -1 is rejected.
Hence, x = 5
So, smaller integer = 5
Larger integer = 7
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Answers
What is the scale factor used to create the dilation?
A: 1/2
B: -1/2
C: 2
D: -2
Answers
ansswer
C: 2
hope it helps
What do you need to do to solve x/6=18
Answers
x = 6*18 = 108
Simple, just multiply each sides by 6
Answer is x = 108
Hope this helps!
Have a great day.
Working together, it takes two roofers 10 hours to put a new roof on a portable classroom. if the first roofer can do the job by himself in 12 hours, how many hours will it take the second roofer to do the job by himself?
Answers
Number of hours the second roofer to do the job by himself is 60 hours.
Given that, working together, it takes two roofers 10 hours to put a new roof on a portable classroom.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Working together 1/10 roofs per hour
First roofer 1/12 roofs per hour
So, equation is x + 1/12 = 1/10
x = 1/10 - 1/12
= 6/60 - 5/60 = 1/60
Together, they work 1/60 + 1/12
= 1/60 + 5/60
= 6/60 = 1/10
Therefore, number of hours the second roofer to do the job by himself is 60 hours.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ5
Which of the following are independent pairs of events? Check all that apply.
A.Flipping two coins and having one show a head and the other show a head
B.Being sneezed on and catching a cold
C.When rolling a pair of dice, getting a total of 6 and having one die show a 3
D.Rolling a 4 on one die and rolling a 2 on another die
E.Seeing clouds and winning the lottery,
Answers
The best answer for these question would be:
A. Flipping two coins and having one show a head and the other show a head
D. Rolling a 4 on one die and rolling a 2 on another die
E. Seeing clouds and winning the lottery
Independent events in math means that the first situation does not affect the other variable. It is generally the individual probability that will happen to the solution. Which means that you have to determine whether the first situation will be affected on the second events that will happen. While the dependent events, have the opposite effect.
The number 12,089 is?
< 12,098.
= 12,098.
> 12,098.
Or none of these is correct
Answers
The first choice is the correct one.
Final answer:
The numbers 12,089 is less than 12,098, as determined by comparing the ones place of each number., hence the correct option is A
Explanation:
The student asks for the correct comparison between the numbers 12,089 and 12,098. To generate an accurate answer, we compare the digits from left to right.
Since the thousands, hundreds, and tens places are the same, we look at the ones place to determine which number is greater. Comparing the ones digits, we see that 9 (in 12,098) is greater than 8 (in 12,089), therefore 12,089 is less than 12,098.
The correct answer is:
12,089 < 12,098.