Answers
Answer:
D
Step-by-step explanation:
Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the corresponding factors are
(x - 5) , (x - 7)
The equation is then the product of the factors, that is
y = (x - 5)(x - 7) ← expand using FOIL
= x² - 7x - 5x + 35 ← collect like terms
y = x² - 12x + 35 → D
The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
It is Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the other factors are
(x - 5) , (x - 7)
The equation is then the product of the factors,
[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]
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Related Questions
help I don’t know the answer
Answers
Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours
Answers
Answer:
Step-by-step explanation:
Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours
This is calculated as:
1/ number of hours for Renee + 1/ number of hours for Geneva = 1/ Total number of hours that they can do it together
= 1/16 + 1/12 = 1/T
Lowest common denominator = 192
= 12 + 16/192 = 1/T
= 28/192 = 1/T
Cross Multiply
28T = 192 × 1
T = 192/28
T = 6 24/192 hours
Answer:
its b
Step-by-step explanation:
i just took the test :)
Please help me! DO NOT SEND LINK!
Answers
To find this, just multiply 8 and 5.
Area: length times width
Area: 8 times 5
Area: 40 cm
The perimeter of the rectangle is 26 cm.
Perimeter: 2L + 2W
Perimeter: 2(8) + 2(5)
Perimeter: 16 + 10
Perimeter: 26
Hope this helps!
Answer:
Area is 40
perimeter is 26
Step-by-step explanation:
area = l×w
[tex]8 \times 5 = 40[/tex]
Perimeter = 2L +2W
[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]
Translate algebraic words to symbols.
Six times y divided by x squared
A. 6y - X2
B. 6y + 2x
C. (6 + y)/2x
D. 6y/x2
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. 6y/x²
Step-by-step explanation:
6×y= 6y
x squared =x²
There are 5,400 bricks on a pallet. There are 9 crates of bricks on each pallet. How many bricks are in each crate? Enter your answer in the box.
Answers
Answer:
600
Step-by-step explanation:
5400/9=600
Assuming you have the same amount of bricks in each crate there would be 600 bricks in each of the 9 crates. Hope this helps :)
Solve this inequality. 7d-1<6d
Answers
Answer: d < 1
I used A app and it said that
Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2
Answers
Answer:
Hello! answer: 2
Step-by-step explanation:
The mode is just the number shown the most in the set of numbers so 2 is the mode because 2 is shown the most Hope that helps!
You can use calculatorsoup.com if you have anyone more questions like this
Ewok's favorite candy is a gummy
worm. One gummy worm is 13
inches long: How many gummy
worms will it take to lay them end to
end to have a total length of 45
inches
Answers
Answer:
3.5
Step-by-step explanation:
45 inches divided by 13 inches
gets you 3.4615 but i think you should round up so 3 and a half
This is because 45 divided by 13 equals 3.46153846. That is a VERY long number so you obviously round to the nearest tenth which gives you 3.5. So in the end you would need about 3 and a 1/2 gummy worms to lay them end to end and have a total length of 45 inches. I hope this helps!! (Also that is one really big gummy worm. 13 INCHES?? Hahaha)
which statement describes the effect on the parabola y= x^2 -1 when its is changed to y =x^2 +6?
Answers
The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.
What is the effect on the parabola?First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:
g(x) =f(x) + N
Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.
In this case, we start with the parabola:
y = f(x) = x^2 - 1
Now we know that the transformed function is:
y = g(x) = x^2 + 6
Now, notice that if we apply a translation upwards of 7 units of the original function we will get:
y = f(x) = x^2 - 1 + 7 = x^2 + 6
We got the transformed function.
Then the effect on the parabola is a translation of 7 units upwards.
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a landscaper is fencing a triangular garden for a customer. if the fence has the dimensions shown,does triangular garden have right angle?
Answers
Answer:
e
no, the numbers are not pythagoras triple
Step-by-step explanation:
find the complete question in the attached image
If the angle is a right angle would be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
20² + 10² =
400 + 100 = 500
500 is not equal to the square of 25
so it is not a right angled triangle
Find the perimeter and Area of the rectangle
Answers
Answer:
p is 5 by 7 the a is 3 by 6
Step-by-step explanation:
tudents in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Answers
Answer:
A, D, E
Step-by-step explanation:
GOT IT RIGHT ON EDGE
The true statement about the histogram are
(a) the median and the mean are approximately equal(d) the histogram would have an approximately normal curve(e) there are more data elements between 6 and 9.How to interpret the histogram?The dataset is given as:
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Using a statistical calculator, we have the following summary:
Mean = 7.43
Median = 7.5
Notice that the median and the mean are approximately equal
i.e. 7.43 ≈ 7.5
When the mean and the median are equal, the histogram would have an approximately normal curve
Also, when the dataset is sorted, we have:
5.5, 5.5, 6, 6, 6.5, 7, 7, 7.5, 7.5, 8, 8, 8.5, 9, 9.5, 10
Notice that there are more data elements between 6 and 9.
Hence, the true statement about the histogram are (a), (d) and (e)
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Estimate the circumference of the circular base of the object. Round to the nearest hundredth if necessary.
D battery with radius 0.65 in.
circumference: ___ in.
Answers
Answer:
4.09
Step-by-step explanation:
Circumference=
[tex]2\pi \times r[/tex]
The circumference of the circular base of the object is 4.082 in
What is circumference?The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.
Given that, we need to find the circumference of the circular base of the object, whose radius is 0.5 in
The circular object is referred as circle, the circle's circumference is its boundary length measured in unit whose power is always 1, like m, cm, km etc.
Here, if we calculate the circumference of the object, we will get,
The circumference of any circular object given by :-
C = 2π×radius
C = 2×3.14×0.65 = 4.082 in
Hence, the circumference of the circular base of the object is 4.082 in
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HeLP PLEASE OH LORD ITS TIMED 20 POINTS AM I RIGHT??? IF NOT WHATS THE ANSWER
Answers
Answer:
you are correct :D
Step-by-step explanation:
ASAP -Which is the best estimate of 2 Pi^2
Answers
Answer:
C budddyyyyyy
Gieco saves you 15% on car insurance
lol sorry i just had to
Kayla and Mario are playing with a football at the park on a windy day. Mark throws the football straight up in the air, and a gust of wind blows it 10 feet west and 4 feet south from Mark. If [x y] represents the original location of the football, write a matrix that represents the location of the translated ball.
Answers
Answer:
|x-10 y-4|
Step-by-step explanation:
Let the initial position where the football is thrown up the air be x and y.
After the ball is thrown up the air it moves 10 feet west 4 feet south because of the gust of wind.
Therefore the change in x is by 10 feet west and is at the point x - 10 and the change in y is by 4 feet south and is at the point y - 4.
Thus the matrix representing the position of the football is |x-10 y-4|.
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
C R E D I T: mohit890
Four lines are shown in the graph below.
Which line has the slope with the greatest value?
A
line A
B
line B
C
line C
D
line D
Answers
Answer:
D
Step-by-step explanation:
A vertical line will have the steepest slope
Find the area of this triangle
Answers
Answer:
6km² sounds like a reasonable answer
HELP
find the value of x in a circle 8,x, 20,36
Answers
Answer:
8.8 i think
Step-by-step explanation:
Question 5 Multiple Choice Worth 1 points)
(06.03)
What is the axis of symmetry for f(x) = -5x2 – 20x - 10?
Ox = 6
Ox= -6
Ox=2
Ox= -2
Answers
Answer:
a
Step-by-step explanation:
3(3u-2)=2(3u+3)
What is the steps
Answers
Answer: u = 4
1. Expand.
9u - 6 = 6u + 6
2. Add 6 to both sides.
9u = 6u + 6 + 6
3. Simplify 6u + 6 + 6 to 6u + 12.
9u = 6u + 12
4. Subtract 6u from both sides.
9u - 6u = 12
5. Simplify 9u - 6u to 3u.
3u = 12
6. Divide both sides by 3.
u = 12/3
7. Simplify 12/3 to 4.
u = 4
find the volume of the prism
Answers
Answer:
volume = 108
Step-by-step explanation:
simple: volume = base x height
9 x 12 = 108
Answer 1452
Step-by-step explanation:
im not sure if im correct but the formua is V = L x W x H which is volume equal lenth multiplied by with multiplied by height. so 12 x 11 x 11
16. What is the volume of the rectangular prism?*
1 point
5 in.
s in
3.4 in.
Answers
Answer:
85
Step-by-step explanation:
i useed the formula LxWxH
i came up with 85
5x5x3.5
can someone help it would be very helpful
Answers
Answer:
Use formula
area of trapezium=(a+b)/2×h
Step-by-step explanation:
1)
area of trapezium=(a+b)2×j
(8×4)/2×696in²as this u can calculate all of yr areas.
stay safe healthy and happy.What is the vertex of the parabola? y+1=−14(x−2)2 Enter your answer in the boxes.
Answers
Answer:
y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1
Step-by-step explanation:
PLS HELP ME I NEED THIS DONE IN A FEW MINUTES
Answers
Answer:
(2,2)
Step-by-step explanation:
Midpoint formula, and plug in the numbers.
Hope this helps.
(x1+x2)/2,(y1+y2)/2
(1+3)/2,(3+1)/2
4/2,4/2
(2,2)
What is the answer pls I will mark as brainless
Answers
Answer:
-10
Step-by-step explanation:
24+8-(7x6)
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!
Answers
Answer:
G
Step-by-step explanation:
Because it is an equation
8. Chloe received $20.00 for her birthday. She
bought 3 books for $3.59 each. How much
money does Chloe have left?
Answers
Answer: $9.23
because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.
The amplitude of a periodic function is 8.5 and its minimum value is 0. What is the functions
maximum value?
Answers
Answer:
maximum value is 17.
Step-by-step explanation:
8.5=1/2(x-0)
8.5=1/2x
8.5=x/2
8.5×2=x
17=x
x=17