The factor of the given equation [tex]8x^{2} -4x-84[/tex] will be [tex]4(x+3)(2x-7)[/tex]
What will be the factor of the given equation?Given equation is [tex]8x^{2} -4x-84[/tex]
Now taking 2 commons from the equation
[tex]4(2x^{2} -x-21)[/tex]
now splitting the equation we get
[tex]4(2x^{2} +6x-7x-21)[/tex]
[tex]4(2x(x+3)-7(x+3))[/tex]
[tex]4(x+3)(2x-7)[/tex]
Thus the factor of the given equation [tex]8x^{2} -4x-84[/tex] will be
[tex]4(x+3)(2x-7)[/tex]
To know more about Factors of quadratic equation follow
https://brainly.com/question/1214333
geometry problem ????? thank you
Next, the team wants to explore how it can change the steepness of the curved pit.
Identify how the graph of each equation compares with the graph of the parent quadratic equation, y = x2.
Drag the equations to the correct location on the chart. Not all equations will be used.
Given that the parent function, y = x², has a leading coefficient of 1, the
following are the comparisons of the equations with the parent functions;
[tex]\begin{array}{|c|cc|}Steeper \, than \, y = x^2&&Less \, Steep \ than \, y = x^2 \\y = 2 \cdot x^2&&y = \frac{1}{2} \cdot x^2 \\y = \left(2 \cdot x \right)^2&&y = \left(\frac{1}{2} \cdot x \right)^2 \end{array}\right][/tex]
How can the correct location of each equation be found?The parent function is y = x²
The leading coefficient of the parent function = 1
The steepness of a quadratic equation is given by the value of the
leading coefficient.
When the leading coefficient is larger than 1, we have;
The function is steeper than y = x²
When the leading coefficient is a fraction larger than 0 but lesser than 1, we have;
The function is less steep than y = x²
Which gives;
[tex]\begin{array}{|c|cc|}Steeper \, than \, y = x^2&&Less \, Steep \ than \, y = x^2 \\y = 2 \cdot x^2&&y = \frac{1}{2} \cdot x^2 \\y = \left(2 \cdot x \right)^2&&y = \left(\frac{1}{2} \cdot x \right)^2 \end{array}\right][/tex]
The function y = -x² is inverted has the same steepness as y = x², but will not be used.
Learn more about the properties of quadratic functions here:
https://brainly.com/question/10989920
17/100+ 6/10+17/100+ ?/100=?
Answer:
104/100
Step-by-step explanation:
The easiest way to do this problem is to convert the fraction 6/10 to have the same denominator as the other fractions, which in this case is ?/100.
we can convert 6/10 to have 100 as a denominator by multiplying the fraction by 10
[tex]\frac{6}{10} *10=\frac{60}{100}[/tex]
now we can just add the fractions together!
[tex]\frac{17}{100} +\frac{17}{100} +\frac{60}{100} =\frac{104}{100}[/tex]
1. A point at (-4, 7) is rotated 90° clockwise about the origin.
What are the new coordinates for the point?
Answer:
(7, 4)
Step-by-step explanation:
The rule to rotate a point/figure 90° clockwise about the origin is (x, y) -> (y, -x). We are given the point as (-4, 7).
(-4, 7)(7, -4)(7, 4)Therefore, the answer is (7, 4).
a rectangle has a length of 9 inches and an area of 48 inches. it’s width, w, is unknown. explain why the following equation cannot be solved to find the correct width of the rectangle? w+9=48
Answer:
This equation cannot be solved to find the correct width of the rectangle because the formula for the area of a rectangle is area = base times the height. Therefore, you can't just simply subtract 9 from 48 to get the width. Instead, you have to divide 48 by 9 to find the width, since 48 is the area and 9 is the length.
hope this helps :)
(x-1)(x+1)what is it equivalent to
Answer:
x^2-1
Step-by-step explanation:
(x-1)(x+1)
x^2-x+x-1
x^2-1
Use the next three slides to factor 3x²+11x+10
Start by labeling the area model for rectangles I and IV. Next, multiply the main diagonal and enter the product into the table.
Answer:
( 3 x + 5 ) ( x + 2 )
Step-by-step explanation:
Factor a GCF from the expression, if possible.Factor a Trinomial, if possible.Factor a Difference Between Two Squares as many times as possible.Hope it helps!!!Brainliest pls!!!For a standard normal distribution,P(z < c) = 0. 3387Find c rounded to two decimal places
The value of c for a standard normal distribution, P(z < c) = 0. 3387 is -0.41.
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ)/σ
Where x is the raw score, μ is the mean and σ is the standard deviation.
Given that P(z < c) = 0. 3387; hence:
From the normal distribution table, c = -0.41
The value of c for a standard normal distribution, P(z < c) = 0. 3387 is -0.41.
Find out more on z score at: https://brainly.com/question/25638875
A Clock had a radius of 5 inches. Find the distance the minute hand tracked from 2 to 6
Answer:
9
Step-by-step explanation:
they are not in the middle so it has to be 9-8 i feel like its 9
hope this helps!
The distance minute hand tracked from 2 to 6 is 5.23 inches.
What is the measure of each integer step in a clock?A clock can be thought of as a circle having 12 steps and we know that circle is 360°,
So, the measure of each integer step of a clock is 30°or π/12 rad.
We know the circumference of a circle is 2πr.
From 2 to 6 the minute hand rotated (4×30°) = 120° = 2π/3 rad.
We know arc length(S) = r×Ф.
∴ The distance minute hand tracked is = (2.5)×(2π)/3 inches.
= 5.23 inches.
learn more about clock problems here :
https://brainly.com/question/29734182
#SPJ2
pls help! evaluate the sine of the real number, pls give exact answers
Answer:
[tex]-\frac{\sqrt2}{2} \\[/tex] or exact is −0.70710678...
Step-by-step explanation:
Getting the point!
If we look at the unit circle and we find [tex]-\frac{3\pi }{4}[/tex] we see it is in the 3rd quadrant. We know that all points in the 3rd quadrant have both negative x and negative y values. We know that all radians with the base of 4 on the unit circle have the points of [tex](\frac{\sqrt{2}}{2} ,\frac{\sqrt{2}}{2})[/tex] Because we are in the 3rd quadrant and both x and y are negative we know the point of [tex]-\frac{3\pi }{4}[/tex] is [tex](-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2})[/tex]Finding the sin!
Because we know that sin is asking us for the y valueWe can just look at the point and find the y value! the y value is [tex]-\frac{\sqrt2}{2} \\[/tex]Because this fraction does not need to be rationalized we are good!Use a calculator to find the exact value and you get -0.70710678...The final answer is [tex]-\frac{\sqrt2}{2} \\[/tex] or exact is −0.70710678...Hope this helps!! Please mark Brainliest!
how to know if the tringal is congruent
Answer:
Measure all sides of the triangle (all 3 sides), and depending on the lengths see if they are all equal, if two are equal, or if there are no equal sides at all. If there are all equal side lengths you have an equilateral triangle that has 3 congruent, aka equal sides.
Step-by-step explanation:
If two angles and the included side of one triangel are equal to the corresponding angel and the side of another triangel, the triangles are congurent.
A group of friends wants to go to the amusement park. They have $131.75 to spend on parking and admission. Parking is $18, and tickets cost $22.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
3 people
$9.5 left over
Step-by-step explanation:
pp = 18 + 22.75
pp = 40.75
total people who can go = 131.75/pp
tp = 131.75/pp
tp = 3 remainder $9.5
(this is if they all arrive in individual cars)
The number of people that can go to the amusement park are 5 .
Concept:First, we need to find the amount left after deducting parking charges. Then the remaining amount can be divided by the price of one ticket to find out how many persons can buy the ticket from the same amount.
How to solve the given problem?The parking charges are $18 and the ticket costs $22.75 per person.So amount left after parking charges = $131.75 -$18 = $113.75To find the number of persons, let x be the no of tickets that can be purchased from the given amount.So the expression can be framed as 22.75x = 113.75.On solving the expression, we get x = 5 nos.Thus, 5 number of persons can go to the amusement park.
Learn more about expressions here:
https://brainly.com/question/4344214
#SPJ2
It takes Lester 15 minutes to walk 7 blocks to the swimming pool. At this rate, how many blocks can he walk
in one minute?
A. block
B. block
C. 2 blocks
D. 5 blocks
Answer:
5 blocks was the answer .....
I gotta find out the height?
Answer: 143.089 or 143.1
well, the smaller triangle is a miniature replica of the big triangle, so you have to find the scale between both triangles bases by doing 122/1.62=75.31 and then use that number to multiply by the height of the smaller triangle giving you the height of the bigger triangle so 75.31*1.9=143.089 or 143.1
Step-by-step explanation:
mistah... clean
Tara has two bags of M&M’s. The first bag contains 6 red, 5 blue, and 4 green M&M’s. The second bag contains 3 red, 2 blue, and 4 green M&M’s. Tara will select one M&M from each bag. What is the probability that Tara will select a blue M&M from each bag?
Answer:
29.6667%
Step-by-step explanation:
In first bag there is 15 M&M's ANd second bag has a total of 9 M&M's so that means there are a total of 24 M&M's.
In the first bag there is 5 blue M&M's and in the second bag there is a total of 2 blue M&M's so there is a total of 7 blue M&M's all together.
so there are 7/24 M&M's ( what were going to do it convert it into percents.
To do this were going to use these steps.
were going to divided the number of blue M&M's by the total of M&M's all together so 7 divided by 24=?And then next we are going to multiply the result by 100 which=?Calculations
7 divided by 24=0.291666.
Ok so now what is 0.291666 x 100=?
0.291666 x 100=29.6667 and there is our final answer.
Hope it helps have awesome day:)
A bus traveled 320 km in 4 hours. Find the average speed in km/h. *
Answer:
80km/h
Step-by-step explanation:
speed = rise/run = distance/hours
speed = 320km/4 hours
speed = 80km/h
30 POINTS HELP IM LITERALLY SO DUM
The sum of Joy's age and her brother's age is 24. Her brother's age is 3 years older than twice Joy's age. What is the difference, in years, between Joy's age and her brother's age?
A. 4
B. 6
C. 10
D. 18
Answer:
b. 6
Step-by-step explanation:
I'm not 100% sure if this is the answer but here was my thinking process:
1/4 of 24 is 6, and 6 + 3 is 9, so the brothers age is probably 9, and then 24-9 is 15, and the difference between 15 and 9 is 6. Once again I don't know if this is right or not, but either way I hope this helps!
what is the answer to j + 69 –4 = –8
Answer:
-71
Step-by-step explanation:
J + 69 - 4 = -8
J + 63 = -8
J = -8-63
J = -71
Answer:
Your answer is -73.
I think it will help you.
Select the graph that represents h=-16t2+80
The answer is (D.) The one that is centered in the middle and the lines go down.)
Hope this helps <3
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
The first, third, andd sixth choice is correct.
Step-by-step explanation:
The y-intercept is when x = 0.
So if we plug x = 0 into the equation.
y = -4(0) + 98
y = 98
So the first choice is correct.
y = mx + b
y = -4x + 98
m = slope
b = y-intercept
So, the slope must mean it's decreasing.
So the third choice is correct.
Let try plugging in values for x.
y= -4(0) + 98 = 98
y= -4(1) + 98 = 94
y= -4(2) + 98 = 90
x stands for the number of days the students miss.
We see the bigger the value we put in for x, the lower the test score is aas represented by y.
So, the sixth choice is correct.
we know that,
y intercept exist when x = 0
so,
⇢y = -4x +98
⇢y = -4 x 0 +98
⇢y = 98
so , the expected test score is 98
Based on the linear regression equation, the slope means that for every missed class, the expected tast score decreases by 4 points✓when x = 0
y = -4(0) +98
when x = 1
y= -4(1) +98 = 94
when x = 2
y= -4(2) +98 = 90
we can see the decresement of 4 points
Based on the linear regression equation, as the number of days a student misses class increases the expected test score decreases ✓We can see that the increament in absent days lead to lower scores ( one class = 4 points)
i need it in 5 mins please
The two angles are supplementary angles and need to equal 180 degrees.
x = 180-108 = 72
answer: x = 72 degrees
Answer:
72°
Step-by-step explanation:
108+x=180° {Sum of angles ofon a straight line)
x=180- 108
x=72°
Pedro's family took a road trip to Niagara Falls. Pedro fell asleep 74% of the way a through the trip. If Pedro fell asleep after they had travelled 666 miles, what was the
total length of the trip?
Divide miles traveled by percentage.
666/0.74 = 900
total length is 900 miles
In the diagram JKL ~ MNO, what is the length of side KL?
Will give brainliest PLS ANSWER QUICK
Answer:
7.5
Step-by-step explanation:
Ok so this is how I got it:
Since we know the lengths of sides NO, MN, and JK, but we don't know the length of KL, we can use what we know.
To get from MN to JK, we multiply MN (2) by 1.5 to get 3. So you can go the same thing to get from NO to KL.
Just go ahead and multiply 5 by 1.5
5 × 1.5 = 7.5
Hope this helps!
Answer:
KL = 7.5
Step-by-step explanation:
MN : JK = NO : KL
⇒ 2 : 3 = 5 : KL
[tex]\implies \dfrac23=\dfrac{5}{KL}[/tex]
⇒ 2 · KL = 5 · 3
⇒ 2(KL) = 15
⇒ KL = 15 ÷ 2
⇒ KL = 7.5
Yesterday I drove 9 hours at a speed of 120 km/h.how many kilometres did i drive
Answer:
1080
Step-by-step explanation:
The unit rate per hour is 120 and you drove for 9 hours so to find the answer you should use the equation:
120h=total kilometers driven
the number of hours is 9 so, you would subsitute that for the variable to get:
120x9=1080
In a scale drawing, a model of a dog house is 3 cm long by 5 cm tall. The dog house is actually 4 feet tall. What is the actual length of
the dog house?
Answer:
3.75 feetStep-by-step explanation:
If 5 cm on the model = 4 feet in real
Then, what does 1 cm on the model = in real?
5/4=1.25
So, 1 cm on the model = 1.25 ft
Now, what does 3cm long in the model = to in real?
1.25x3=3.75
So hence, the length of the Dog house is actually 3.75 feet.
Thanks!
Mark me brainliest!
Anna ate 5/8 of an orange and gave the other 3/8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?
Answer:
B
Step-by-step explanation:
First of all the equation is subtracttion since they used to word *difference* which indicates subtract. To find the different between how much Anna at and how much she gave her brother we would subtract 5/8 by 3/8.
to solve this equation ( 5/8 - 3/8 ) the denominator of both fractions have yo be the same and that is true for this equation. Then you would subtract the numerators and keep the denominator the same. So the answer is 2/8
Hi! I need help with b, I answered a, but I need help with b. This is due tomorrow and I am giving 15 points! Thank you! :)
(19 and 20) The vertices of triangle QRS are (plot it):
Q(-1,1)
R(2,-3)
S(-1,-3)
(a) What is the area of the triangle?
Area is 6 units squared
(b) Move point Q to a different location so that the triangle has the same area. What are the new coordinates for Q?
Answer:
Q(1,-1)
R(-2,3)
S(1,3)
Step-by-step explanation:
Same area, opposite quadrants.
x• 7 if x = what is the value of this expression? 4
Answer:
Step-by-step explanation:
#11 i
Solve the system of linear equations.
6x+2y = 16
2x - y = 2
Answer:
Point slope form of the equations:
y = -3x + 8
y = 2x - 2
Solution to the system of equations:
(x, y) ==> (2, 4)
Step-by-step explanation:
6x + 2y = 16
2x - y = 2
6x + 2y = 16
2(2x - y = 2) ==> 4x - 2y = 4
6x + 2y = 16
4x - 2y = 4
10x = 20
/10 /10
x = 2
Now, we solve for y:
6x + 2y = 16
6(2) + 2y = 16
12 + 2y = 16
-12 -12
2y = 4
/2 /2
y = 2
(x, y) ==> (2, 2)
Point-slope forms:
6x + 2y = 16
-6x -6x
2y = -6x + 16
/2 /2
y = -3x + 8
2x - y = 2
-2x -2x
-1y = -2x + 2
/-1 -1
y = 2x - 2
Hope this helps!
Charlie's puppy, Max, weighs 3 pounds.
How many ounces does Max weigh?
Answer:
48 ounces
Step-by-step explanation:
1 pound = 16 ounces
3x16=48
Hope this helps :)
Answer:
48
Step-by-step explanation:
If I'm wrong let me know, but I'm pretty sure it's 48 ounces