Answer:
C
Step-by-step explanation:
We can use the factored form of the quadratic equation, given by:
[tex]y=a(x-p)(x-q)[/tex]
Where a is the leading coefficient and p and q are the zeros.
We have zeros x = -2 and x = 3. So, let p = -2 and q = 3:
[tex]y=a(x+2)(x-3)[/tex]
Next, we are given that our y-intercept is (0, -30).
In other words, when x = 0, y = -30. So:
[tex]-30=a(0+2)(0-3)[/tex]
Solve for a:
[tex]-30=-6a\Rightarrow a=5[/tex]
Hence, our factored equation is:
[tex]\displaystyle y=5(x+2)(x-3)[/tex]
For the standard form, expand:
[tex]y=5(x^2-3x+2x-6)[/tex]
Simplify:
[tex]y=5(x^2-x-6)[/tex]
Distribute:
[tex]y=5x^2-5x-30[/tex]
Our answer is C.
Answer:
5,x6=5
4÷6=6
4=6=8
4=6687554=+÷976555££=6££6/=
edafjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
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Write an equivalent expression for: 5(5x - 9) *
Answer:
25x - 45
Step-by-step explanation:
5(5x - 9)
Distribute
5*5x - 5* (9)
25x - 45
Answer:
➛ 25 x - 45
Step-by-step explanation:
➛ 5 ( 5 x - 9 )
Using distributive property multiply both by 5
➛ 5 × 5 x - 5 × -9
➛ 25 x - 45
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 1), perpendicular to 2x - y = 8
Answer:
I don't no answer sorry
Step-by-step explanation:
give me brainliest
The cost C of manning household is partly constant and partly varies as the number of people, the cost is 70,000 and for 10 people, the cost is 90,000 find the expression for C in terms of n ii. The weekly cost for 12 people
Answer:
4.196.754
Step-by-step explanation:
god bless stay safe po
Find the volume of the prism.
6 ft
9 ft
4.5 ft
Answer:
The volume of the prism is 243 ft^3.
Step-by-step explanation:
The equation you have to use is A=Bh
Answer: 121.5 ft3
Step-by-step explanation:
Use this formula for volume of triangulsr prism:
1/2 • length • width • height
That will be 1/2 • 4.5 • 9 x 6 = 121.5
Unit of measurement is ft3 (also same as cubic feet)
Welcomeee!
Evaluate the function
Answer:
-2
Step-by-step explanation:
f(x) = 3x^2 + 5x - 14
substitute -3 inplace of x
f(-3) = 3*(-3)^2 + 5*(-3) - 14
=3*9 - 15 - 14
=27 - 15 - 14
= -2
Find the volume of the prism.
4.8 m
10 m
7.2 m
Answer:
172.8 m^3
Step-by-step explanation:
Volume for triangualr prism formula:
1/2 • length • width • height
Use formula with given dimensions:
1/2 • 7.2 m • 10 m • 4.8 m = 172.8
Volume is measured in cubic meters
(meters in this situation)
FINAL ANSWER:
172.8 cubic meters
Hope this helps!
The volume of the given prism is 172.8 cubic centimeters.
The given prism is a triangular prism with base length of 7.2m.
Height of 4.8m
Length of 10m.
The formula for volume of prism is V=1/2 bhl
Plug in the values of length , breadth and height:
V=(1/2) × 10 × 4.8 × 7.2
V=5×4.8×7.2
V=172.8 cubic centimeters.
Hence, the volume of the given prism is 172.8 cubic centimeters.
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Find NP from the rectangle
The diagonals of a rectangle are equal and bisect each other.
NQ= 2×5 =10
Using Pythagoras theoram,
PQ²+NP²=NQ²
4²+ NP²= 10²
NP²= 100-16
NP²= 84
NP =√84
NP=2√21 = 9.2Hi :), im really struggling with this. Just wanted to know if anyone can explain step by step for me please. Id really appreciate it.
Answer:
314 m²
Step-by-step explanation:
the formula for the surface area of a sphere (As) is
As = 4×pi×r²
the radius r (half of the diameter) is clearly indicated as 5m.
so, As = 4×3.14×5² = 4×3.14×25
I don't even need a calculator for this, as 4×25 = 100
so, As = 100×3.14 = 314
(you know, when multiplying by 10, the decimal point moves right one position. multiply by 100 it moves 2 positions, and so on).
Solve for x: 12x+5=3x+35
Answer:
The answer would be 3.33.
Step-by-step explanation:
Simplifying 12x + 5 = 3x + 35
Reorder the terms: 5 + 12x = 3x + 35
Reorder the terms: 5 + 12x = 35 + 3x
Solving 5 + 12x = 35 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation. 5 + 12x + -3x = 35 + 3x + -3x
Combine like terms: 12x + -3x = 9x 5 + 9x = 35 + 3x + -3x
Combine like terms: 3x + -3x = 0 5 + 9x = 35 + 0 5 + 9x = 35
Add '-5' to each side of the equation. 5 + -5 + 9x = 35 + -5
Combine like terms: 5 + -5 = 0 0 + 9x = 35 + -5 9x = 35 + -5
Combine like terms: 35 + -5 = 30 9x = 30
Divide each side by '9'. x = 3.333333333
Simplifying x = 3.333333333
is 8x + 5x and 40x
Equivalent?
Explain why
Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?
Answer:
Answer: (C)A picnic table is on sale for 60 percent off.
Step-by-step explanation:
well someone copied me but okay :[
Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 6700
Answer:
2.13%
Step-by-step explanation:
assume that the distribution is approximately normal
[tex]\frac{6700-5000}{850} =2[/tex]
the value is 2 s.d. more than the mean
according to normal distribution, approximately 2.13% of the data is 2 s.d. more than the mean.
Help please…………….6/11/21
9514 1404 393
Answer:
8
Step-by-step explanation:
The notation n=1 .. 8 means that n takes on all integer values from 1 to 8. Each value of n gives one term that is added to the series.
The number of terms is 8.
I tried dividing 16/.95¢ to find the amount per ounce. The answer I got is ¢16.84 per ounce. Not sure if I rounded correctly but it seems that my answer is wrong? How do I go about this?
======================================================
Explanation:
You're dividing in the wrong order.
You divide the price over the number of items to get the unit price.
So you should say 95/16 = 5.9375 which then rounds to 5.9
----------------
Why does it work? Well consider the fact we can set up this ratio
16 ounces : 95 cents
we then divide both sides by 16 to turn that "16 ounces" into "1 ounce"
Doing so leads us to
1 ounce : 5.9375 cents
Really struggling with this, can someone please help me out and give me a brief explanation?
Answer:
the answer is 220
Step-by-step explanation:
the formula for surface area of a rectangular prism is A=2(wl+hl+hw)
w = width
h= height
l = length
and when you have those lengths, you have to substitute.
someone scored 80 marks on a quiz out of a 100 find the percent marks he will get
Answer:80%
Step-by-step explanation:
percentage=[(obtained marks)/(total marks)]*100
=(80/100)*100
=80 %
What is the value of y - X?
A. 20
D
B. 30
O
E.
о O
C. 45
Answer:
30
Step-by-step explanation:
that is the procedure above
2.) 3x + 24 + 2x - 14 = 105
Answer:
[tex]x=19[/tex]
Step-by-step explanation:
To find the value of x:
[tex]3x+24+2x-14=105[/tex]
[tex]3x+2x+24-14=105[/tex]
[tex]5x+10=105[/tex]
[tex]5x=105-10[/tex]
[tex]5x=95[/tex]
[tex]x=95/5[/tex]
[tex]x=19[/tex]
hope this is helps....
Answer:
x = 19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3x + 24 + 2x - 14 = 105
Step 2: Solve for x
[Addition] Combine like terms (x): 5x + 24 - 14 = 105Subtract: 5x + 10 = 105[Subtraction Property of Equality] Subtract 10 on both sides: 5x = 95[Division Property of Equality] Divide 5 on both sides: x = 19I need help with this
HW HELP ASAP PLZZZZZ
Answer:
4a
Step-by-step explanation:
4ax^2 + 4ax + 4a
here in every term there is 4 and a so take 4 and a common
4a(x^2 + x + a)
If x = 10, which lines are parallel? Check all that apply.
pls someone help me who ever answers with a good explanation how to solve it, gets brainliest
Answer:
BCDE
Step-by-step explanation:
You can see it in the image. Parallel = if the line keeps going and will never touch each other.
Find an example for each of vectors x, y ∈ V in R.
n
for n = 2 or n = 3 such that
applies:
A
||x|| = max{|x1|, ..., |xn|}
||x|| =√n · max{|x1|, ..., |xn|}
(B)
||x + y|| = ||x|| + ||y||
||x + y|| < ||x|| + ||y||
(C)
||x · y|| = ||x|| · ||y||
||x · y|| < ||x|| · ||y||
(a) Both conditions are satisfied with x = (1, 0) for [tex]\mathbb R^2[/tex] and x = (1, 0, 0) for [tex]\mathbb R^3[/tex]:
||(1, 0)|| = √(1² + 0²) = 1
max{1, 0} = 1
||(1, 0, 0)|| = √(1² + 0² + 0²) = 1
max{1, 0, 0} = 1
(b) This is the well-known triangle inequality. Equality holds if one of x or y is the zero vector, or if x = y. For example, in [tex]\mathbb R^2[/tex], take x = (0, 0) and y = (1, 1). Then
||x + y|| = ||(0, 0) + (1, 1)|| = ||(1, 1)|| = √(1² + 1²) = √2
||x|| + ||y|| = ||(0, 0)|| + ||(1, 1)|| = √(0² + 0²) + √(1² + 1²) = √2
The left side is strictly smaller if both vectors are non-zero and not equal. For example, if x = (1, 0) and y = (0, 1), then
||x + y|| = ||(1, 0) + (0, 1)|| = ||(1, 1)|| = √(1² + 1²) = √2
||x|| + ||y|| = ||(1, 0)|| + ||(0, 1)|| = √(1² + 0²) + √(0² + 1²) = 2
and of course √2 < 2.
Similarly, in [tex]\mathbb R^3[/tex] you can use x = (0, 0, 0) and y = (1, 1, 1) for the equality, and x = (1, 0, 0) and y = (0, 1, 0) for the inequality.
(c) Recall the dot product identity,
x • y = ||x|| ||y|| cos(θ),
where θ is the angle between the vectors x and y. Both sides are scalar, so taking the norm gives
||x • y|| = ||(||x|| ||y|| cos(θ)|| = ||x|| ||y|| |cos(θ)|
Suppose x = (0, 0) and y = (1, 1). Then
||x • y|| = |(0, 0) • (1, 1)| = 0
||x|| • ||y|| = ||(0, 0)|| • ||(1, 1)|| = 0 • √2 = 0
For the inequality, recall that cos(θ) is bounded between -1 and 1, so 0 ≤ |cos(θ)| ≤ 1, with |cos(θ)| = 0 if x and y are perpendicular to one another, and |cos(θ)| = 1 if x and y are (anti-)parallel. You get everything in between for any acute angle θ. So take x = (1, 0) and y = (1, 1). Then
||x • y|| = |(1, 0) • (1, 1)| = |1| = 1
||x|| • ||y|| = ||(1, 0)|| • ||(1, 1)|| = 1 • √2 = √2
In [tex]\mathbb R^3[/tex], you can use the vectors x = (1, 0, 0) and y = (1, 1, 1).
what is the slope of p?
===========================================================
Explanation:
Start at the origin (0,0). Move 2 units up (rise) and move to the right 3 units (run) to arrive at the point (3,2).
This shows that the slope is rise/run = 2/3.
---------------------
You could also use the slope formula, which is,
m = (y2-y1)/(x2-x1)
You can use any two points from the orange line.
A baseball player hits a home run. A spectator observes the trajectory of the ball and expresses the height of the ball using the equation s(t)= -(t-15) + 225. Calculate the instantaneous velocity of the ball at t=4 seconds where the distance is measured in meters.
A. 44 m/sec
B. 30 m/sec
C. 26 m/sec
D. 22 m/sec
Answer:
The appropriate solution is Option D (22 m/sec).
Step-by-step explanation:
The given equation is:
[tex]s(t)= -(t-15)^2 + 225[/tex]
Now,
The instantaneous velocity at t = 4 will be:
= [tex][-2(t-15)(1)+0][/tex]
= [tex]-2(4-15)[/tex]
= [tex]-2\times (-11)[/tex]
= [tex]22 \ m/sec[/tex]
Thus, the above is the correct option.
Find the sum of the first 10 terms of the following series, to the nearest integer.
175, 70, 28, ...
Answer:
Step-by-step explanation:
you can see this is a geometric progression which a ratio of [tex]{2\over{5}}[/tex]. the sum of the firs n term is:
[tex]S=a_1\frac{(1-r^n)}{(1-r)}=175\frac{1-(\frac{2}{5})^{10}}{1-\frac{2}{5}}=291.6360832[/tex]
the nearest integer would be:
292
The sum of the first 10 terms of the series 175, 70, 28, ... is 291.636
What is geometric progression?Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number. This fixed number is called common ratio.. This progression is also known as a geometric sequence of numbers that follow a pattern.
Common ratio = (Any term) / (Preceding term)
What is sum of first "n" natural numbers?It means the sum of all the first "n" numbers in the series. The formula for first "n" natural numbers is
Sn = a + a r + ar2 + ar3 +…+ arn-1
or
Sₙ = a[(rⁿ – 1)/(r – 1)]
where "r" is called common ratio
"a" is called the first term in the series
From the given question the given series is 175, 70, 28, ...
70/175 = 0.4 (or) 28?70 = 0.4
As each succeeding term is produced by multiplying each preceding term by 0.4 .Here the common ratio (r) is 0.4
let first term "a" be 175
then Sₙ = 175[(0.4¹⁰-1)/(0.4 - 1)
Sₙ= 291.636
Thus the sum of the first 10 terms of the series 175, 70, 28, ... is 291.636
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Translate the percent sentence to a percent equation.
What number is 43% of 80?
Answer:
.43 · 80 = 34.4
Step-by-step explanation:
percentages into decimals = move decimal place to left two places
'of' means multiply in math
equations have equal (=) signs
anhghuygyygyubbhjhbhjbjhbjhbjhbj
Answer:
25 min
Step-by-step explanation:
165 min = 2 hr 45 min
2 hr 45 min - 1 hr 45 min = 1 hr
1 hr - 35 min = 25 min
Find the array to finish 976 divided by 8. NO LINKS!!!
Answer:
976 ÷ 8 =
8 groups of n = 976
n groups of 8 = 976
122
____
8 | 976
- 8
____
176
- 16
_____
160
- 160
______
0
Q2
What is 23.3 x 0.463 correct to three decimal places?
Answer:
10.787
Step-by-step explanation:
Given :
23.3×0.463
After multiplying this equation ,
10.787
Therefore, answer will be 10.787
