The graph of the quadratic function x²+4x=-2x+16 is a parabola that crosses the x-axis at x=-8 and x=2. Correct option is (a).
What are zeros and graph of an quadratic equation?Let ax² +bx +c = 0 is an quadratic equation its zeroes are the values of x for which the Left hand side becomes zero.
To find zeroes we can use quadratic formula that is
x = (-b ±√(b²-4ac))/2
Graph of the quadratic equation are points ( x , y(x) )
where y(x) = ax² +bx +c
when x= t is zero of quadratic equation ax² +bx +c = 0
then y(t) = 0
(t, 0) points are points on the x-axis.
Given an quadratic equation
x²+4x=-2x+16 has roots x =-8 and x =2
This can we written as x² +6x -16 =0
The graph of this quadratic equation is given by (x, y(x))
where y = x² +6x -16 which is a parabola
for x= -8 and x= 2 , y(-8) =y(2) = 0
Then (-8,0) and (2,0) are points on this parabola which are at x-axis
Therefore, the parabola y = x² +6x -16 crosses the x-axis at x=-8 and x=2.Thus (a) is the correct option.
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2. Find the value of p, if the mean of the following distribution is 20.
X
15
17
19
20+p
23
f 2,3, 4, 5, 6
Answer:
p = 6
Step-by-step explanation:
I'm omitting the x since you cannot have 2 unknowns.
(15 + 17 + 19 + 20 + p +23) /5 = 20 Combine the left
(94 + p) / 5 = 20 Multiply both sides by 5
94 + p = 20 * 5
94 + p = 100 Subtract 94
P = 100 - 94
P = 6
PLEASE HELP . Nicole has to spend $2,675 on monthly supplies for her hair salon. She charges
$25 from each customer for a haircut. How many haircuts would she need to do to
pay for the cost of her monthly supplies?
Answer:
107
Step-by-step explanation:
2675 ÷ 25 = 107
Answer:
107 haircuts
Step-by-step explanation:
25x [tex]\geq[/tex] 2,675
25x/25 [tex]\geq[/tex] 2,675/25
x [tex]\geq[/tex] 107
can someone please help me?
Answer:
44 degrees
Step-by-step explanation:
Triangles ABC and DBC are congruent (as said in the question), that would make the corresponding parts of the two triangles congruent.
Answer:
Angle D = 44° (degrees)
Step-by-step explanation:
given that ∆ABC is congruent to ∆DBC, AB = 10, and Angle A = 44°. Angle D must be 44° as well since you can tell that angle abc is 88° and is not a right angle, and due to the corresponding parts. You can also think about these triangle as angles since angle abc = angle dbc. The other angles can be calculated using the triangle sum theorem since both triangles share side bc so angle acb and dcb are right angles(90°)
therefore 180-(44+90) = 46° which the measure of angles abc and dcb.
This measure would only make it true because of triangle congruency.
Where it says “Exercises.”
Is number 1 = 90 ?
Yes you are correct. The diagonals of any kite are perpendicular.
This can be proven by showing that triangle KGH is congruent to triangle KJH through the SSS congruence theorem. From there you break up the triangles focusing on triangle JRK and triangle GRK, now using the SAS rule to conclude that angle JRK = angle GRK. Since those are a linear pair, those angles must be right angles.
Side note: A kite is defined to be any quadrilateral in which it has two pairs of adjacent congruent sides. Not all four sides are the same length though (otherwise we would have a rhombus).
you lent your cousin $25.75 and she sent you $30.00 who owes who money and how much money
Answer:
you owe her 4.28
Step-by-step explanation:
30.00-25.75= 4.28
.3y + 3 (1 - y - y = 6
Answer:
sorry it's too long
Step-by-step explanation:
Simplifying
3y + 3(1 + -1y) + -1y = 6
3y + (1 * 3 + -1y * 3) + -1y = 6
3y + (3 + -3y) + -1y = 6
Reorder the terms:
3 + 3y + -3y + -1y = 6
Combine like terms: 3y + -3y = 0
3 + 0 + -1y = 6
3 + -1y = 6
Solving
3 + -1y = 6
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1y = 6 + -3
Combine like terms: 3 + -3 = 0
0 + -1y = 6 + -3
-1y = 6 + -3
Combine like terms: 6 + -3 = 3
-1y = 3
Divide each side by '-1'.
y = -3
Simplifying
y = -3
Figure 3
62°
144 what is the angle measure in degrees for thr missing variable x in figure
The value of the angle x is equal to 98°.
Given that the figure attached below.
To find the angle x, follows sum steps as:
Draw one parallel line between the given parallel lines with intersect the point x.
By linear sum,
Angle 1 on below parallel line is 180° - 144° = 36°.
Angle 2 is equal to angle 1, that is, angle 2 is equal to 36°.
Angle 3 on centre parallel line is equal to 62°.
So, the angle x is calculated as:
x = Angel 2 + Angle 3
x = 36° + 62°
x = 98°
Hence, the required angle is equal to 98°.
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THe ratio of goldfish to gallons of water is 7 to 2 how many gallons of water do you need to keep16 fish
Answer:
56
Step-by-step explanation:
7:2 16/2=8 8(7)=56
There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several
weeks later, the overall change in the water level is found. The results are shown in the table. What
is the range of the data?
Changes in Amount of Water (gallons)
-0.3 - 1.2 - 1.3 2.6 2.5 -0.7 0.8 -0.8 2.7 2.9
The range in the change of the amount of water is
gallons
Answer: 3.2
Step-by-step explanation: you need to take the maximum minus the minimum
2.9 - (-.3) = 3.2
What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
PLEASE HURRY !!
Answer:
y= -1/2x-6
Step-by-step explanation:
Solve the following compound inequality
-3 < x +7 <10
Answer:
x > -10
x < 3
Step-by-step explanation:
separate into two inequalities
x+7> -3
x+7<10
x + 7 -7> -3 + -7
x > - 10
x + 7 -7 < 10 + -7
x < 3
explain how you know that the two triangles have the same area.
Answer:
Step-by-step explanation:
i
What is the equation of the line that passes through the point (-5, 2) and has a
slope of 4/5 ?
Answer:
y - 2 = 4/5(x + 5)
Step-by-step explanation:
Well, the equation format your question is asking for is Point-slope form which is represented by:
[tex]y - y^{1} = m (x - x^{1})[/tex]
[tex]y^{1}[/tex] = y in point
[tex]x^{1}[/tex] = x in point
m = slope
Now, we have to input our values into our equation.
y - 2 = 4/5(x + 5)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
PLEASEE SOMEONE HELPPP!!!
From Get Engaged! Part 1, if you thought that the monthly payment is the most important factor for Juan to consider, then you are correct. He should still consider the amount of interest that he will be paying, but if he can only pay a certain amount each month, he is not able to pick a payment plan based only on interest.
How can Juan compare the amount of interest of the two plans he has been presented with? Juan will need to multiply … _______________________________.
Great work! In order to find out how much Juan will pay in interst for each plan (3 years versus 5 years), we have to start by finding out how many months are in 3 years and 5 years. Since there are 12 months in one year, you can multiply 12 x 3 and 12 x 5.
PLAN 1: In the first plan, Juan pays $456 for 36 months. 456 x 36 = $16,416. The cost of the car is $15,000. In order to find the interest, we have to find the difference between the total amount that Juan would pay and the cost of the car: 16,416 - 15,000 = $1,416 in interest.
PLAN 2: In the second plan, Juan pays $289 for 60 months. 289 x 60 = $17,340. The cost of the car is $15,000. In order to find the interest, we have to find the difference between the total amount that Juan would pay and the cost of the car: 17,340 - 15,000 = $2,340 in interest.1) What is the benefit to paying a higher monthly payment for less time?
1) What is the benefit to paying a higher monthly payment for less time?
2) What is the benefit to paying a lower monthly payment for longer?
Answer: $450 i think. hope this
aking additional principal payments will shorten the length of your mortgage term and allow you to build equity faster. Because your balance is being paid down faster, you'll have fewer total payments to make, in-turn leading to more savings.
and the 2) because your monthly payments are lower on a loan with a longer repayment term, this gives you more wiggle room in your budget. You may need this extra cash to put towards other important goals.
Step-by-step explanation:
5.
2
C. Use real numbers to represent the following real-life situations.
1. A temperature of 8 degrees below zero
2. A gain of 6 kg in weight
3. A sea level
4. 50 off the original price
5. An additional of 3 points
6. A dropped of 8 in a heart rate
7. A plane ascends 1 000 ft.
8. Micah got a deduction of 2 points for her offense.
9. Daniel went down 4 floors of a building.
10. A slice of a cake that is divided into 8 equal slices.
Step-by-step explanation:
Words like "below", "loss", "off", "dropped", "deduction" mean negative.
Words like "above", "gain", "on", "ascend", "gain" mean positive.
1. -8°C
2. +6 kg
3. 0 m
4. -50
5. +3
6. -8
7. +1000 ft
8. -2
9. -4
10. 1/8
what is the slope of the equation y=5/4x-7/4
Answer: x-intercept = 7/5 = 1.40000
y-intercept = -7/4 = -1.75000
Step-by-step explanation: Solve 4y-5x+7 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4y-5x+7 = 0 and calculate its properties
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -1.750 and for x=2.000, the value of y is 0.750. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.750 - (-1.750) = 2.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.500/2.000 = 1.250
what is the 9th term in the sequence -1, 4, -9, 16, -25,...?
Answer:
-81
Step-by-step explanation:
looks like they're doing perfect squares inversed..
so it'd go from -1,4,-9,16,-25,36,-49,64,-81
given the y-intercept of (0,19) and the slope of 2/3 write a linear equation
Answer:
y = (2/3)x + 19
Answer:
y=2/3x + 19
Step-by-step explanation:
2/3 is gradient and at x=0 y=19 giving that constant value
maya reads a book at a rate of 10 chapters per hour how many chapters does she read in 5 hours
Answer:
50 Chapters
Step-by-step explanation:
10 x 5 = 50
Answer:
the answer is 50
take the chapters times 5
Enter the number in scientific notation.
52,491 =
x10
Hint: Move the decimal left 4 places.
Answer:
5.2491
Step-by-step explanation:
I'm sorry if this is incorrect
Answer:
52,491 = 5.2491 * 10 to the 4th power
Step-by-step explanation:
52,491
Move 4 times to the left
Here it is step by step
1. 5249.1 ( moved one place over)
2. 524.91 ( moved over two places)
3. 52.491 ( moved over three places)
4. 5.2491 ( moved four places)
Can someone help ???
Answer:
B) 5/4
Step-by-step explanation:
when u multiply
100 x 5/4 you get 125
Answer:
5/4
Step-by-step explanation:
the answer is 5/4
100*5=500
500/4=125
(AICE MATH) i need help please
Answer:
How can i help?
Step-by-step explanation:
Calculate 3 over 4 ÷ 5 1 fifth
Answer:3/20
Step-by-step explanation:
3/4/ 5/1
3/4 x 1/5 =3/20
Kiwis are on sale at the grocery store at a price of 10 kiwis
for $4. How much are 15 kiwis at this price?
.....................
Answer:
..................................
Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.
Answer :
m = 3
Point = (4,-1)
x1 = 4
y1 = -1
Formula =
y - y1 = m (x-x1)
y - (-1) = 3 (x -4)
y + 1 = 3x -12
y - 3x + 1 + 12 = 0
y - 3x + 13 = 0
The line = y - 3x + 13 = 0 or -3x + y + 13 = 0
I'm sorry if I'm wrong.
Cmiiw
Good luck
Love from Indonesia
y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=3
We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)
-1=3(4)+b
-1=12+b
-1-12=b
b=-13
y intercept is -13
Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.
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Can I get some help please?
Answer:
at least 28
Step-by-step explanation:
Answer:
The answer is C. at least 28
Step-by-step explanation:
Connor- 58 comic books
Drew-31 comic books
So, 58-31=27
if Drew add 27 comic books than it would be equal to Connor. So in order to have a larger collection than Connor he should at least add 28 comic books.
Hope it helps :)
220 miles on 8 gallons. How many miles in one gallon?
Answer:
Tune answer is 27. 5
Step-by-step explanation:
220/8=27. 5
In 2009, Usain Bolt set the world record for sprinting 100m in approximately 9 3/5 seconds.
Find his average speed in meters per second.
Answer:
10 5/12 is the answer, hope this helps
Answer:
125/12 meters per second.
7 Indira has 300 blue beads, 750 red beads and 900 silver beads. She threads these beads to
make wire bracelets. Each bracelet must have the same number and colour of beads. What
is the maximum number of bracelets she can make with these beads? helpppppppp
Answer:
6, I believe?
Step-by-step explanation:
300/6=50
750/6=125, and
900/6=150, so I think it's 6 bracelets, if i'm wrong you can call me dumb.
Indira can make the 150 maximum number of bracelets.
Given that, Indira has 300 blue beads, 750 red beads and 900 silver beads.
We need to find what is the maximum number of bracelets she can make with these beads.
What is the greatest common factor?The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder. To calculate GCF, there are three common ways- division, multiplication, and prime factorization.
Now, 300=2×2×3×5×5
750=2×3×5×5×5
900=2×2×3×3×5×5
So, GCF of 300, 750 and 900=2×3×5×5=150
Therefore, Indira can make the 150 maximum number of bracelets.
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