The zeros of the quadratic x^2+4x=-2x+16 are x=-8 and x=2. What does this tell you about the graph of this quadratic function?
a. The parabola crosses the x-axis at x=-8 and x=2.
b. The parabola touches the x-axis only at and x=2.
c. The parabola does not touch or cross the x-axis.
d. The parabola crosses the x-axis at x=-8 and x=2 but you can ignore the zero x=-8 because it is negative.
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.
Also learn more about the quadratic equations from the link below:
https://brainly.com/question/1863222
#SPJ2
The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth? fill in the blank 1
Answer:√29.5= 5.43139
Step-by-step explanation:
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the same speed?
Answer:
speed of Jada = 6km per hour which is not equal to
speed of Andre = 8km per hour
They did not run at same speed
Step-by-step explanation:
formula of speed = distance covered/ time taken
For Andre
Distance = 2 KM
time = 15 mins
60 mins = 1 hour
15 mins = 1/60 * 15 hour = 0.25 hours
thus,
speed = 2km/0.25 hour = 8 km per hour
Similarly for Jada
Distance = 3 KM
time = 20 mins
60 mins = 1 hour
20 mins = 1/60 * 20 hour = 1/3 hours
thus,
speed = 2km/(1/3)hour = 6 km per hour
Now we have
speed of Jada = 6km per hour which is not equal to
speed of Andre = 8km per hour
If g(n) = n +2, find g(1)
Answer:
3
Step-by-step explanation:
because n=1 and you plug it in you get 3
round 0.532 to the nearest hundredth
The answer is 0.53
This is because the second digit (in the decimal range) is in the hundredths.
help please i really need help
Answer:
I think the next one 400
is 2/2 a improper fraction ?
Answer:
no
Step-by-step explanation:
It takes 4 people 10 hours to plaster a section of a building. How long will it take 8 people to
do the same job working at the same rate?
Answer:
5 hours
Step-by-step explanation:
Answer:
5 hours because you have double the people which means it would take half the time :)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
>
Of the points shown below, which point
represents the number with the greatest
absolute value?
A B C D
+
-4 -3 -2 -1 0 1 2 3 4
Answer:
A
Step-by-step explanation:
As it is technically the highest number as the greatest absolute value is never negative.
can someone answer these two for me?? thank you so much
Answer:
for first pic it's CD and for second pic that's option 1
Answer:
1=1
2=2
Step-by-step explanation:
hope this helps if they are wrong let me know i will fix it for you
2x - 5 = 9
Step 1: 2x - 5 = 9
+5 +5
_____________
2x = 14, - 5x and 5x will canceled out because it is equal to 0
Step 2: 2x = 14, Multiply both sides by 2
2x (2) = 12 (2)
x = 24
Step 3: Final Answer: x = 24
Answer:
pls report for spam
Step-by-step explanation:
Bob needs to buy 300 pencils for
his class. If each box holds 25
pencils, how many boxes does he
need to buy?
Answer:
12
Step-by-step explanation:
300/25=12
12x25=300
Renee used the values in the table to calculate simple interest.
Principal $750
Interest rate ?
Time 11 years
Interest $412.50
Which interest rate is missing from Renee’s table?
Question:
Which interest rate is missing from Renee’s table?
Answer:
Principal- $750
Interest Rate- $00.5
Time- 11 yrs. (Years)
Interest- $412.50
Explanation:
To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. ...
I = Interest amount paid in a specific time period (month, year etc.)
P = Principle amount (the money before interest)
t = Time period involved.
r = Interest rate in decimal.
Therefore we get an answer of $00.5
Answer:
c
Step-by-step explanation:
Evaluate Z=2X+5 solve for z
Answer:
z=2x+5
Step-by-step explanation:
A flat screen tv at Best Buy costs $699 . The sales tax in Virginia is 5.3%. How much tax will you pay on the TV?
Answer:
736.05
Step-by-step explanation:699.00 x 5.3%=37.047
699.00 + 37.05 = 736.05
Answer:
$37.05
Step-by-step explanation:
$699 × 5.3%
We must convert 5.3% into just a decimal (not a percentage)
To do so, move the decimal to the left two places.
This would be 0.053
699 × 0.053 = 37.047
Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place
37.047 rounds up to 37.05
$37.05 is how much tax will be paid on the TV
Which list contains only rational numbers?
Answer: B
Step-by-step explanation:
Fractions, decimals, whole numbers, zero, and negatives. DOES NOT INCLUDE REPEATING DECIMALS.
Which equation is written in slope-intercept form?
O y = 3x-2
OX=
x-3y+8
O 2x+ 5y = 12
O 3y = 8x-5
Help
Answer:
[tex]y = 3x-2[/tex]
Step-by-step explanation:
[tex]general \: form of \: slope\: intercept \: is : \\ y = m(x) + c[/tex]
Please help :) (4-3i)(-3+6i)-(2-i)
Answer:
4+34i
Hope this helps!!!!!!
A surveyor is surveying a street. The surveyor is standing at point B looking down the street at a No Parking sign at point C and a Stop sign at point A. Given BC = 4x-5 meters, BA = 20 meters, CA = 6 meters, and point C is between B and A, what is x in meters?
Answer:
i think x is bc=4x-5 meters
Step-by-step explanation:
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
ou are traveling to Japan and need Japanese Yen (JPY). How much JPY could you get for $100 USD if the exchange rate is USD/JPY 0.9333 ?
¥99.07
¥93.33
¥100.93
Answer:
93.33
Step-by-step explanation:
You just multiply the $100 by the change rate to get the new currency
Answer:
107.15 :)
Step-by-step explanation:
You are traveling to Japan and need Japanese Yen (JPY)
We need to convert $100 USD to JPY
If conversion rate is $1USD = 0.9333JPY
The value of $1 USD is 0.9333 JPY
Let in $100 USD get x JPY
100/.9333
=107.15
Help please with #9 & 10!!!
Answer:
9) x=3
10)x=8.5
Step-by-step explanation:
Because M is a midpoint, for both questions, the equations on M's either sides are equal.
9) 5x+9=24
Subtract 9 from both sides
5x=15
Divide by 5 on both sides
x=3
10) 3x-7=x+10
Add 7 to both sides and subtract x from both sides
2x=17
Divide by 2
x=8.5
The average depth of Lake Michigan is 85 meters below the surface. The deepest point in Lake Michigan is 196 meters lower than this.
Answer:
If you need to find how deep Lake Michigan is, it is 280 meters below the surface
Step-by-step explanation:
Review the incomplete derivation of the cosine sum identity.
A 2-column table with 5 rows. Column 1 has entries step 1, step 2, step 3, step 4, step 5. Column 2 has entries cosine (x + y), sine (StartFraction pi Over 2 EndFraction minus (x + y) ), blank, sine (StartFraction pi Over 2 EndFraction minus x) cosine (negative y) + cosine (StartFraction pi Over 2 EndFraction minus x) sine (negative y), blank.
Which expressions for Step 3 and Step 5 complete the derivation?
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Answer:
Option (4)
Step-by-step explanation:
STEP - 1
cos(x + y)
STEP - 2
[tex]\text{sin}[\frac{\pi}{2}-(x+y)][/tex]
STEP - 3
[tex]\text{sin}[(\frac{\pi}{2}-x)-y][/tex]
STEP - 4
[tex]\text{sin}(\frac{\pi}{2}-x)\text{cos}(-y)+\text{cos}(\frac{\pi}{2}-x)\text{sin}(-y)[/tex]
STEP - 5
cos(x)cos(y) - sin(x)sin(y)
[Since, [tex]\text{sin}(\frac{\pi}{2}-x)=cos(x)[/tex] and [tex]\text{cos}(\frac{\pi}{2}-x)=\text{sin}(x)[/tex]]
[Since, cos(-x) = cos(x) and sin(-x) = -sin(x)]
Therefore, Option (4) will be the correct option.
Answer:
D
Step-by-step explanation:
Top Answer was right, don't know why it was rated poorly
What is the solution to
−(6m+8) =4(17−m)
Answer:
[tex]\boxed{m = -38}[/tex]
Step-by-step explanation:
[tex]-(6m+8) =4(17-m)[/tex]
→ Expand brackets
[tex]-6m-8=68-4m[/tex]
→ Add 8 to both sides to collect the whole numbers
[tex]-6m = 76-4m[/tex]
→ Add -4m to both sides to collect the m terms
[tex]-2m=76[/tex]
→ Divide both sides by -10 to isolate m
[tex]m=-38[/tex]
Find the mean number of of hours for these students. Round to the nearest tenth
NEED HELP ASAP
The figure is reflected across line m and then reflected across line n. What is the resulting transformation?
reflection
glide reflection
rotation
translation
Answer:
A.)
Step-by-step explanation:
Answer:
i think translation
Step-by-step explanation:
or matbe reflection
Question 3
dilation of 2
K(-1,0), (1, 2), uſo,-2)
Which of the following sets of ordered pairs correctly identify
K', C' and U'?
OK(-1/2.0), C (1/2, 1). U (0.-1)
K(-2.0): C 12.4). U (2-4)
OK[-2.0): C 12,2). U (0,-4)
OK[-2.0): C (2.4). U (0-4
Answer:
The correct answer is K(-2,0) C(2,4) U ( 0,-4)
Step-by-step explanation:
A. it has no rotational symmetry
B. It has rotational symmetry with an angle of rotation of 180°
C. It has point symmetry
D It has recreational symmetry
PLEASE HELP WILL MARK BAINLIST
Roxy is multiplying 18 by 43.
Use the drop-down menu to complete the statement.
1
4
1
The product × will be
.
8
3
8
Answer:
774,
Step-by-step explanation:
What is m m − 9 = −13
Answer:
m=-4
Step-by-step explanation:
hope that helps:)
Answer:
-4
Step-by-step explanation:
m= - 13 + 9
calculate
__________
solution
m=-4