Answer:
h(x) = 2x^2 +14x -60
Step-by-step explanation:
A quadratic is of the form
h(x) = ax^2 + bx +c
h(3) = h(-10) = 0
This tells us that the zeros are at x=3 and x = -10
We can write the equation in the form
h(x) = a( x-z1)(x-z2) where z1 and z2 are the zeros
h(x) = a(x-3) (x- -10)
h(x) = a(x-3) (x+10)
FOIL
h(x) = a( x^2 -3x+10x-30)
h(x) = a(x^2 +7x -30)
Let a = 2
h(x) = 2x^2 +14x -60
It means
zeros are 3 and -10
Form equation
y=x²-(3-10)x+(-10)(3)y=x²+7x-30Multi ply by 2
y=2x²+14x-60Option D
X^2-9 can be factored using the formula
Answer:
a^2 - b^2 = (a-b)(a+b)
Step-by-step explanation:
x^2 -9
Rewriting as
x^2 - 3^2
We notice that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
x^2 - 3^2 = (x-3)(x+3)
Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing x>0; Decreasing x<0
B. Decreasing on all real numbers
C. Increasing on all real numbers
D. Increasing x<0; Decreasing x>0
Answer:
Option A, increasing x>0; decreasing x<0
what song goes whoooooo Iiiiii smoooooooooke
Answer:
Lol yu lateee das "who i smoke by yung ace"
Step-by-step explanation:
Answer:
woogle said woo hoo by rock a teens
Step-by-step explanation:
given the circle find the arc measure
9514 1404 393
Answer:
87°
Step-by-step explanation:
Call the circle center point X. The measure of arc FG is the measure of central angle FXG, which is the supplement of central angle GXH.
arc FG = 180° -93° = 87°
Solve for x.
–5(–2x – 5) – 2 – 1= -12
Answer:
x=-17/5
Step-by-step explanation:
–5(–2x – 5) – 2 – 1= -12
+10x+25-2-1=-12
10x+22=-12
10x=-12-22
10x=-34
x=-34/10
x=-17/5
Step-by-step explanation:
Open the brackets
10x +25 -2 - 1= -12
Collect the like terms
10x = -12-25+2+1
10x = -34
Divide both sides by 10
Therefore,x = -34/10 = -3.4
Help meee I’ll give 10 pts and brainliest!!!
Step-by-step explanation:
i) [tex]\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}[/tex]
[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3[/tex]
ii) [tex]m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6[/tex]
iii) [tex](\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)[/tex]
[tex]\:\:\:\:\:\:\:=(3,\:-2)[/tex]
Hello Pls help and thanks
Answer:
c.) in the correct answer
Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and sports activities per
day (rounded to the nearest hour)
Number of hours spent doing leisure and sports activities per day
Sample A: Number of adults
70 90 135 140 65
Sample B: Number of adults
80 80 130 135 75
Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct-Dan or Bret?
Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Dan is Correct by concluding that adults spend a mean of 3 hours each day doing leisure and sports activities. because [tex]3.08[/tex] hours or [tex]3.09[/tex] hours which are the mean time of sample A and B is approximately equal to 3 hours
From the question we are told that:
Total Sample size [tex]n=500[/tex]
Dan's mean [tex]\=x_D= 3hr[/tex]
Bret's mean [tex]\=x_D= 4hr[/tex]
Generally, the Total hours spent doing leisure and sports activities is mathematically given by
For Sample A
[tex]T_a=(1*70)+(2*90)+(3*135)+(4*140)+(5*65)\\\\[/tex]
[tex]T_a=1540 hours[/tex]
For Sample B
[tex]T_b=(1*80)+(2*80)+(3*130)+(4*135)+(5*75)[/tex]
[tex]T_b=1545[/tex]
Therefore
Mean Time spent doing leisure and sports activities by an American Adult
For Sample A
[tex]T_A=\frac{T_a}{n}[/tex]
[tex]T_A=\frac{1540}{500}[/tex]
[tex]T_A=3.08[/tex] hours
[tex]T_A \approx 3[/tex] hours
For Sample B
[tex]T_A'=\frac{T_b}{n}[/tex]
[tex]T_A'=\frac{1545}{500}[/tex]
[tex]T_A'=3.09[/tex] hours
[tex]T_A' \approx 3[/tex] hours
In conclusion
Dan is Correct because [tex]3.08[/tex] or [tex]3.09[/tex] which are the mean time of sample A and B is approximately equal to [tex]3[/tex]
Learn More about this at
https://brainly.com/question/14355235
Calculate a high estimate for each. Show your work?81×37
Step-by-step explanation:
2997
81
×
37
=2997
it just a simple calculation just multiply the numbers
The scores of a high school entrance exam are approximately normally distributed with a given mean Mu = 82.4 and standard deviation Sigma = 3.3. What percentage of the scores are between 75.8 and 89?
Notice that
75.8 = 82.4 - 6.6 = 82.4 - 2 × 3.3
89 = 82.4 + 6.6 = 82.4 + 2 × 3.3
Then the percentage of students with scores between 75.8 and 89 make up the part of the distribution that lies within 2 standard deviations of the mean. The empirical (68-95-99.7) rule says that approximately 95% of any distribution lies within this range.
Answer:
b
Step-by-step explanation:
Which of the following theorems verifies that angle DEF ~ angle XZY?
Step-by-step explanation: In this problem, notice that we're only given one pair of congruent angles, the 90 angles, but remember that the sum of the measures of the angles of a triangle is 180°.
So we can determine that the measure of the missing angle
of our first triangle is 40° because 90 + 50 + 40 = 180.
Now we have two pairs of congruent angles,
the 40° angles, and the 90° angles.
Therefore, since two of the angles of one triangle are congruent to
two of the angles of the other triangle, we can say that yes, the
triangles are similar by the Angle-Angle Similarity Postulate (AA~).
Given that (-7,3) is on the graph of f(x), find the
corresponding point for the function
f(x) +5.
Enter the correct answer.
OOH
DONE
Clear all
?
Rearrange the formula v= u + at to make a the subject
Answer:
a= - u+v÷t
Step-by-step explanation:
v=u+at
Step 1: Flip the equation.
at+u=v
Step 2: Add -u to both sides.
at+u+−u=v+−u
at=−u+v
Step 3: Divide both sides by t.
at÷t=−u+v÷t
a=−u+v÷t
v = u + at
Now lets rearrange with ' a ' as subject
v = u + at
v - u = at
a = (v - u)/t
Must click thanks and mark me brainliest
complete the table below?
ABC = $425
Load = 0
Total Cost = $425
Sales Price = $850
Sales price ÷ total cost = 850/425
= 2%
DEF = $600
Load = $375
Total Cost = $975
Sales Price = $1200
Sales Price ÷ Total cost = 1200/975
= 1% (Nearest 1%)
Must click thanks and mark brainliest
Use a calculator to find
the mean of the data.
{217, 253, 214, 247,
217, 253, 232, 246,
223, 227, 229, 247,
206, 241, 239, 223,
222, 216, 252, 209,
236, 256}
A. 230.811
B. 231.045
C. 232.045
D. 232.811
Answer:
232.045
Step-by-step explanation:
217 + 253 + 214 + 247 + 217 + 253 + 232 + 246 + 223 + 227 + 229 + 247 + 206 + 241 + 239 + 223 + 222 + 216 + 252 + 209 + 236 + 256 = 5105
5105 / 22 = 232.045454545
Is 9/16 closest to 0, 1/2, 1, or 9
Answer:
1/2
Step-by-step explanation:
9/16 is equal to 0.5625 . The closest number to this is 0.5 which is the same as 1/2
An Image point after a 180° rotation Is Z(3, 7). What were the coordinates of the pre-Image point?
Z-3-7)
2173)
27-3)
21-7-3)
Answer:
Does the answer help you?
Ahmed bought a TV for his room in 2016 for AED 1,500. he decided to sell it in 2020 for AED 900. what is the rate of depreciation when he bought the TV and when he sold it
Answer:
40% depreciation over the 4 years
10% depreciation per year
Step-by-step explanation:
The number of years between buying and selling is:
2020 - 2016 = 4
4 years
The amount of depreciation in the 4 years is:
AED 1,500 - AED 900 = AED 600
The percent depreciation for the 4 years is:
(1500 - 900)/1500 * 100% = 40%
The percent depreciation per year is:
40%/4 = 10%
A square pyramid with a base edge of 1 cm and pyramid height of 2 cm has a volume of 2/3 cm3.
.True
.False
Answer: True
Step-by-step explanation:
volume of a square pyramid = (1/3) · b² · h
b = base edge = 1 cmh = height = 2 cmTherefore, the volume would become:
[tex]\frac{1}{3}*1^{2}*2= \frac{1}{3}*1*2=\frac{1}{3}*2=\frac{2}{3}[/tex]
Answer:
Step-by-step explanation:
False
What is the domain of the function in the graph?
Answer:
7≤r≤12
Step-by-step explanation:
The domain is the values that the input takes
The input goes from 7 to 12
7≤r≤12
Answer: Choice B) [tex]7 \le r \le 12[/tex]
=============================================================
Explanation:
The domain is the set of allowed x inputs of a function.
How far to the left can we go on this red line? That would be x = 7.
How far to the right? That would be x = 12.
We can have x equal anything between 7 and 12, including both endpoints. We include the endpoints because they are filled in circles (as opposed to open holes).
So the domain is [tex]7 \le x \le 12[/tex]. If we replace x with r, then we update that inequality into [tex]7 \le r \le 12[/tex]. This replacement happens because r is along the horizontal x axis.
Choose all the numbers that are multiples of 2.
A 18
B. 21
C. 34
D. 45
E 50
F. 67
G. 83
Answer:
18 , 34and 50 are multiples of 2
Step-by-step explanation:
2×9=18
17×2=34
25×2=50
Answer:
A,C,E
Step-by-step explanation:
A,9×2=18
C,17×2=34
E,25×2=50
if i pay 15300 interest capital on a loan for 25 years how much will i pay?
Answer:
i dont know soory
Step-by-step explanation:
Select the choice that translates the following verbal phrase correctly to algebra:
8 times the total of x and 3
Answer:
The equation should be 8(x+3)
Answer:
a
Step-by-step explanation:
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as elena. Link drank twice as much as Jada. Did jada drink more or less then elena? Explain how you know
Answer:
Step-by-step explanation:
3\4 bc on a nuberline it would be 3 3\4
I--I----(etc)
so yeah hope i helped
FIND THE AREA OF THE SHAPE BELOW
PLEASE HELP I HAVE BEEN STUCK ON THIS FOREVERRRR!!
THANK YOU
Answer:
Is answer 22 units sqaure ?
What should you multiply the top equation by so that yis eliminated when the equations are added? | 3x – y = -2 15x + 2y = 15 A. 4 B. -2 C. 2 D. -1
Answer:
c. 2
Step-by-step explanation:
2 (3x – y = -2) 6x - 2y = -4
6x - 2y = -4
Given: AABC, AC = 5
m C = 90°
m A= 22°
Find: Perimeter of AABC
A
C
B
9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
find the side of a cube whose surface area is 150² m
Answer:
6 m
Step-by-step explanation:
[tex]surface \: \: area = 4 {s}^{2} [/tex]
s is side
[tex]150 = 4 {s}^{2} \\ {s}^{2} = 37.5 \\ s = 6.1 \: m[/tex]
Mr. Lock bought 6 quarts of oil for his car. He spent $16.02. How much was each quart of oil?
Answer:
2.67
Step-by-step explanation:
To solve this problem do 16.02 / 6.
I hope this answer helps you out! Brainliest woudl be appreciated.Find the surface area of this triangular prism.
Answer:
96
Step-by-step explanation:
Surface area=2*Area of triangle+Area of different rectangular strips
Surface area=2*(1/2)*(48)+2*8+2*6+2*10=48+48=96
