Answer:
60
Step-by-step explanation:
If -30 is its only zero, than the factors are (x+30)(x+30) = [tex]x^2 + 60x + 900[/tex]
Than b = 60
The value of b of the function f (x) would be,
⇒ b = 60
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = x² + bx + 900
And, -30 as its only zero.
Now, The value of zero of function is satisfy the function as;
⇒ f (- 30) = 0
⇒ (- 30)² + (- 30)b + 900 = 0
⇒ 900 - 30b + 900 = 0
⇒ 1,800 = 30b
⇒ b = 60
Thus, The value of b of the function f (x) would be,
⇒ b = 60
Learn more about the function visit:
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The table shows the proportional relationship between the number of computers
a company sold, x, and the profit that the company made, y. The profit, y, can be
written in terms of x, the number of computers sold: y = What expression
completes the equation?
Profit on Sales
Number of Computers Sold
Profit (dollars)
3
450
7
1050
11
1650
15
2250
Answer:
y = 150x
Step-by-step explanation:
There is a proportional relationship between number of computers sold (x) and profit generated (y)
y ∝ x
y = kx
Here, k = proportionality constant
From the table given,
At y = 450 and x = 3,
450 = k(3)
k = 150
Therefore, expression that represents the proportional relationship will be,
y = 150x
what is the slope of a line perpendicular to the line whose equation is y=-2x+4. fully simply your answer
Answer:
1/2
Step-by-step explanation:
You should inverse the slope and multiply by -1
Math help pls all 4 questions please
Answer:
a)32500
b)0.00604
c)2.4×10^6
d)1.47x10-³
Step-by-step explanation:
plz can i get brainliest:)
(HELPP)In the figure below, AE
BD and BD bisects ∠EBC
Answer:
7) ∠EBD = 60°
87) ∠DBC = 72°
9) ∠EBC = 156°
10) ∠EBC = 138°
Step-by-step explanation:
Determine the distance between (−3,1)and (5,−6)
Round your answer to the nearest tenth. Show all of your work.
Answer:
10.6 units
Step-by-step explanation:
distance formula
= √((x2-x1)²+(y2-y1)²)
= √((5+3)²+(-6-1)²
= √(8²+(-7)²)
= √ (64+49)
= √113
= 10.6
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
x = 27
Step-by-step explanation:
1/3 x +9 = 18
1/3 x = 18 - 9
1/3 x =9
3* 1/3 x = 9*3
x= 27
Please help ASAP!!!!!
Alexandra buys sweatshirts for $12 each. In her store, she sells each sweatshirt for $30.
Part B
During a clearance sale, Alexandra discounts the Halloween sweatshirts by 55%. What is the percentage of profit Alexandra will make on each Halloween sweatshirt she sells? Show your work or explain your answer.
Please and thank you!! And please if you can explain how you got the answer.
Answer:
A is 360
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply $30 by .25 you get, it's $7.50so you subtract $7.50 from $30 and you get $22.50. Then multiply 2 (sweaters) by $22.50 and you get $45,but wait you still have to multiply that sales tax so you multiply .04 by $45 and you get $1.80, later you subtract $1.80 from $45 and you get $43.20(the cost of the two sweaters) I did part1 only cuz' no I have no time left Sorry for the inconvenience
geomtry 20 points: find m
Answer:
it is not factorable
Step-by-step explanation:
it is not factorable
In ABC, mC = 30 and a = 8. If the area of the triangle is 12, what is the length of side b?
show work pls
9514 1404 393
Answer:
b = 6
Step-by-step explanation:
The area is given by the formula ...
Area = 1/2·ab·sin(C)
12 = (1/2)(8)b·(1/2) . . . . . fill in the given values
12 = 2b . . . . . . . . . . . simplify
6 = b . . . . . . . . . . . divide by 2
The length of side b is 6 units.
Probability of impossible event is ………… [. ]
a) 0 b) 100% c) 1 d) both b & C
Answer:
0
Step-by-step explanation:
There are 486 hamsters at a private showing of a new documentary about humans. If there are 12 seats in each row, about how many rows will the hamsters fill? Choose the best estimate.
A. 20
B.4
C.40
D.60
Answer:
C, 40
Step-by-step explanation:
If there are 12 seats in each row, and 486 hamsters total, then we can safely assume one hamster takes up one seat.
To find out how many rows they can take, we need to divide the number of hamsters by the number of seats to get 486 / 12 approximately equals 40.
Answer:
C.
Step-by-step explanation:
Take the first two numbers of 486.
How many times does 12 fit into 48?
4 times.
Since all of the estimations do not have any form of individual single digits (as they do normally), we would dismiss the 6 and use its place just as a '0.'
40.
Hope this helped!
Explain how to use the standard normal table to find the probability associated with the shaded area under the curve
Answer:
to find the area to the right positive z-score begin by reading off the area in the standard mormal distribution table, since the total area under the bell curve is 1 we subtract the area from the table from 1. for example the area to the left of z=1.02 is given in the table as 0.846
Step-by-step explanation:
right answer
PLEASE HELP QUICK WILL MARK BRANLIEST
Answer:
A, C, and B. In that order
Students performed a stair-climbing experiment to investigate the power output of the human body. Each student climbed the stairs in a sports stadium to different heights while another student used a stopwatch to time the climb. The body mass, time, and vertical height reached by four students is given in the table. (Estimate g as 10 m/s2.)Which two students generated the same amount of power?
Student mass(kg) Time Vertical Height(m)
Hiro 54 10 6.0
Brenda 54 15 9.0
Carmine 68 11 6.0
Brady 68 17 9.0
A. Brady
B. Brenda
C. Carmine
D. Hiro
Answer:
hiro and brenda
Step-by-step explanation:
Please Help-
K + ⅓ = 5 ⅛ | K = ?
Show Your Reasoning.
Answer:
[tex]4\frac{19}{24}[/tex]
Step-by-step explanation:
I hope I did this right:
So first thing to do is set up the equation.
[tex]K + \frac{1}{3} = 5\frac{1}{8}[/tex]
Next thing to to is subtract 1/3 from both sides to get:
[tex]K = 5\frac{1}{8} - \frac{1}{3}[/tex]
Next up, you will multiply each of the fractions by the opposing value
(multiply 1/8 by 3 and 1/3 by 8)
[tex]K = 5\frac{3}{24}[/tex][tex]-\frac{8}{24}[/tex]
Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.
K = [tex]\frac{123}{24}[/tex][tex]-\frac{8}{24}[/tex]
Finally, you subtract 123 over 24 by 8 over 24.
K = [tex]\frac{123}{24} - \frac{8}{24} = \frac{115}{24}[/tex]
Then just simplfy the 115/24 to get
[tex]4\frac{19}{24}[/tex]
Given the Trapezoid ABCD
Find the length of AD
Pls hellpppp
Given:
In trapezoid [tex]ABCD, AD\parallel BC, MN[/tex] is the mid-segment of [tex]ABCD, AD=30x-10,MN=31x+1,BC=30x+28[/tex].
To find:
The length of [tex]AD[/tex].
Solution:
We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.
In trapezoid [tex]ABCD[/tex],
[tex]MN=\dfrac{AD+BC}{2}[/tex]
[tex]31x+1=\dfrac{30x-10+30x+28}{2}[/tex]
[tex]31x+1=\dfrac{60x+18}{2}[/tex]
[tex]31x+1=30x+9[/tex]
Isolate variable terms.
[tex]31x-30x=9-1[/tex]
[tex]x=8[/tex]
Now,
[tex]AD=30x-10[/tex]
[tex]AD=30(8)-10[/tex]
[tex]AD=240-10[/tex]
[tex]AD=230[/tex]
Therefore, the length of [tex]AD[/tex] is 230.
Simplify fully4xy/12x2y
Answer:
1/3x
Step-by-step explanation:
for 4xy/12x^2y we need to simply one of the x's and the y's and divide both parts by 4
so we get:
1/3x
Plzz I asked this three times! The Functions r and s are defined as follows.
r(x)=-2x+2
s(x)=x^2+2
Find the value of s(r(2)).
Answer:
s(r(2)) = 6
Step-by-step explanation:
You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).
r(x)= -2x + 2
r(2)= -2(2) + 2
r(2)= -4 +2
r(2)= -2
s(x)=x² + 2
s(r(2)) = (-2)² +2
s(r(2)) = 6
Four stores have the same tablet computer on sale. The regular price of the tablet is $150. Store A is offering the tablet on sale at 15% off the regular price. Store B is offering a $25 coupon to be deducted from the regular price. Store C is offering a rebate of $20.00 to purchasers. Store D has the tablet on sale for $120.00. Which store is offering the tablet at the lowest cost
Answer:
Its c
Step-by-step explanation:
You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?
You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?
the answers is 3
Find the area for this problem
Answer:
63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area
Step-by-step explanation:
Can anyone help me with this math equation?
Answer:
yes I can help you. the answer to the problem is 4/35.
Step-by-step explanation:
1. convert any mixed number into fractions.
your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35
how long will it take you to ski a distance of 25 miles at a speed of 2.5 miles per 30 minutes
Answer:
62 .5 minutes or 1 hr, 2 min, and 24 sec.
Step-by-step explanation:
Answer:
300 mins or 5 hours
Step-by-step explanation:
ok so 25 divided by 2.5 equals 10
10 times 30 equals 300min
300 divided by 60 because thats one hour s which equals 5 hours
The volume is 120.9 in. What is the missing dimension (X)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x = 2.5
Explanation:
5.2 * 9.3 * x = 120.9
120.9 / 5.2 = 9.3 * x
23.25 = 9.3 * x
23.25 / 9.3 = x
x = 2.5
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Whats the elapsed time between 9:00 AM and 6:10 PM
Answer:
9 hours and 10 min
Step-by-step explanation:
have a good day
Write and solve an equation to find the value of x and a missing angle in the triangle below.
Answer:
x = 27°, ∠JLK = 55°
Step-by-step explanation:
From the diagram in the question above,
The exterior angle of a triangle is equal to the sum of the two opposite side
3x+13 = 39+(2x+1)
3x+13 = 40+2x
collect like terms and solve for x
3x-2x = 40-13
x = 27°.
∠JKL = 2x+1
Substitute the value of x
∠JKL = 2(27)+1
∠JKL = 54+1
∠JKL = 55°
When a bakery opened this morning, the ratio of the number of pineapple muffins to the number of mango muffins was 3 : 2. After 244 pineapple muffins were sold, the ratio of the number of pineapple muffins to the number of mango muffins changed to 3 : 5. How many pineapple muffins were there when the bakery opened this morning?
Answer:
(x+244)/y=3/2
x/y=3/5
y=5x/3
(x+244)/(x5/3)=3/2
x+244=3/2 . 5x/3
x+244=15x/6
6(x+244)=15x
6x+1464=15x
1464=15x-6x
1464=9x
x=1464/9
x≈ 162
mm=162*5/3=270
162:270 = 3:5
pm before = 270*3/2=405
405:270 = 3:2
Explain why a + b = d.
a team of 10 players is to be selected from a class of 6 girls and 7 boys. match each scenario to its probability
Step-by-step explanation:
The selection of r objects out of n is done in
many ways.
The total number of selections 10 that we can make from 6+7=13 students is
thus, the sample space of the experiment is 286
A.
"The probability that a randomly chosen team includes all 6 girls in the class."
total number of group of 10 which include all girls is C(7, 4), because the girls are fixed, and the remaining 4 is to be completed from the 7 boys, which can be done in C(7, 4) many ways.
P(all 6 girls chosen)=35/286=0.12
B.
"The probability that a randomly chosen team has 3 girls and 7 boys."
with the same logic as in A, the number of groups were all 7 boys are in, is
so the probability is 20/286=0.07
C.
"The probability that a randomly chosen team has either 4 or 6 boys."
case 1: the team has 4 boys and 6 girls
this was already calculated in part A, it is 0.12.
case 2, the team has 6 boys and 4 girls.
there C(7, 6)*C(6, 4) ,many ways of doing this, because any selection of the boys which can be done in C(7, 6) ways, can be combined with any selection of the girls.
the probability is 105/286=0.367
since case 1 and case 2 are disjoint, that is either one or the other happen, then we add the probabilities:
0.12+0.367=0.487 (approximately = 0.49)
D.
"The probability that a randomly chosen team has 5 girls and 5 boys."
selecting 5 boys and 5 girls can be done in
many ways,
so the probability is 126/286=0.44
Did this help??
Answer:
It was right!
Step-by-step explanation:
Which graph can be used to find the solution(s) to x2 – 1 = 3?
Answer: D
Step-by-step explanation:
right on edge