The zeros of the quadratic equation y=4(x+9)²-36 are -6 and -12.
What is a quadratic equation?
Any equation of the form ax² + bx + c = 0where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Given:
y=4(x+9)²-36
on solving the bracket ,we get
y = 4x² + 324 + 72x - 36
or
y = 4x² + 72x + 288
or
y = 4(x² + 18x + 72)
or
y = 4(x² + 12x + 6x + 72)
or
y = 4(x(x+12)+6(x+12))
or
y = 4(x+6)(x+12)
Therefore , zeroes are -6 and -12.
Hence , the zeros of the quadratic equation y=4(x+9)²-36 are -6 and -12.
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Daisy cream is sold in a bulk of 76 cups of cream. Kremlin cream is sold in a bulk of 4 1/2 gallons of cream. Marble cream is sold in a bulk of 40 pints of cream. Which one has the most cream?
Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.
An unitary method is what?The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.
Here,
We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:
=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon
Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.
Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:
=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.
As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.
Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.
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Please please look at the picture and answer the question thank you for your help
Answer:
20 for both
Step-by-step explanation:
hope this helps
cker
Examine the following equation.
2x² – 5x – 7 = 0
Which expression can be used to find the solutions to the equation?
0 5+787
4
-5+781
4
0 -53731
4
5:31
4
The expression which can be used to find the solutions of the given equation is option (a) [5 ± √81] / 4.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
The given quadratic equation is,
2x² - 5x - 7 = 0
The solutions of a quadratic equation can be found using the quadratic formula.
Quadratic formula for ax² + b x + c = 0 is,
x = [-b ± \(\sqrt{b^2-4ac}\) ] / 2a, where \(\sqrt{b^2-4ac}\) is called discriminant.
From the given equation,
a = 2, b = -5 and c = -7.
Solution can be found as,
x = -(-5) ± \(\sqrt{(-5)^2-(4*2*-7)}\) ] / (2 × 2)
= [5 ± √(25 + 56) ] / 4
= [5 ± √81] / 4
Hence the solution can be found as [5 ± √81] / 4.
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An experiment was conducted by having a group of children solve a puzzle. It was found that of those who had solved the puzzle on a given trial, 40% could solve it on the next trial. And of those who couldn't solve the puzzle on a given trial, 10% could solve it on the next trail. At the present time, 80% of the children solved the puzzle on the current trial, but 20% did not. Assume that this process can be modeled as a Markov process.
Write the transition matrix. Label the columns and rows, using S for "able to solve" and NS for "not able to solve.
Write the initial distribution matrix.
What percent of the children will be able to solve the puzzle on the next trial (trial 1)?
What percent of the children will be able to solve the puzzle on trial 2?
After many trials, what percent of the children will fail to solve the puzzle on each trial?
Answer:
I hope this helps!
Step-by-step explanation:
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a line with y-intercept (0,1) which passes for thought the point (1,1)
Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.
The template: y = mx + b
b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:
y = mx – 2
Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.
So, taking your two points, you calculate the slope, m, in the following way:
(x1,y1) = (0,–2)
(x2,y2) = (5,1)
y2 – y1 1 – (–2) 1 + 2 3
m = ________ = ________ = ________ = ____
x2 – x1 5 — 0
Step-by-step explanation:
25 POINTS!!
The radius of a circle is 10 feet. What is the angle measure of an arc bounding a sector with area 15 square feet? plz help no one answered the last one
Answer:
no only 13 points
Step-by-step explanation:
Write an equivalent
unit rate to eating 5
potato chips in 1/4 of a
minute.
Answer:
1 potato chip every 3 seconds
Step-by-step explanation:
Answer:
20 chips in one minute
Step-by-step explanation:
multiply each number by 5
Suppose $72 was budgeted for day trips. What would be the total amount budgeted for entertainment?
Using proportions, it is found that the total amount budgeted for entertainment is of $720.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching the problem on the internet, it is found that the day trip amount is 10% of the budget for entertainment, hence:
0.1x = 72
x = 72/0.1
x = 720.
Hence the total amount budgeted for entertainment is of $720.
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At a local hospital, 4 out of every 9 doctors are women. If there are 126 doctors at the hospital, how many are women?
Answer:
56
Step-by-step explanation:
Ration of the no. of women to men = 4 : 5
= 4x + 5x = 126
= 9x = 126 = 14
Thus no. of women = 4 × x = 4 × 14 = 56
the other one is 27
107. Cranky mower To start her old lawn mower, Rita has
S to pull a cord and hope for some luck. On any partic-
ular pull, the mower has a 20% chance of starting.
(a)
Find the probability that it takes her exactly 3 pulls to
start the mower.
(b) Find the probability that it takes her more than 6
pulls to start the mower.
108. 1-in-6 wins Alan decides to use a different strategy for
the 1-in-6 wins game of Exercise 90. He keeps buying
one 20-ounce bottle of the soda at a time until he gets
a winner.
Find the probability that he buys exactly 5 bottles.
(b) Find the probability that he buys at most 6 bottles.
Show
your work.
According to the binomial distribution, there is a 0.128 = 12.8% chance that it will take her precisely 3 pushes to start the mower.
she will need to start the mower more than 10 times.There are just two possible results for each pull. The lawnmower either starts or it doesn't. The binomial distribution is employed to answer this question since the likelihood that the mower will start on a pull is independent of all other pulls.Binomial distribution of probabilitiesThe conditions are: x is the total number of victories.The number of trials is n.P represents the likelihood that a trial will be successful.It has a 20% chance of starting on any given pull, therefore
Item
a:This probability is P(X = 0) when n = 2, multiplied by 0.2, which is the probability that it starts on the third, and it is that it doesn't start on the first two. Hence:
It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.
Item b:When n = 10, this probability is none on the first 10 and is hence P(X = 0):
Her chances of needing more than 10 pushes to start the mower are 0.1074, or 10.74%.
It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.
Item b:On the first, there is no chance in this.
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Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²Bakers A, B, C work in a bakery, where 75% of the cookies are baked by A, 20% are baked by B, and 5% are baked by C. The past experience tells us that 5% of cookies baked by A contain hair, 20% of cookies baked by B contain hair, and 60% of cookies baked by C contain hair.
1. What proportion of the cookies from this bakery contains hair?
2. If a cookie contains hair, what is the probability that it was baked by C?
Bakers A, B, C work in a bakery, where 75% of the cookies are baked by A, 20% are baked by B, and 5% are baked by C.
The proportion of the cookies from this bakery contains hair 10.75%If a cookie contains hair, the probability that it was baked by C is 27.91%.P(Cookies with Hair) = P(From A) + P(From B) + P(From C)
P(Cookies with Hair) = (0.75X0.05) + (0.20X0.20) + (0.05X0.60)
P(Cookies with Hair) = 0.1075
In Percentage,
P(Cookies with Hair) = 10.75%
Proportion of the cookies from this bakery contains hair is 10.75%
If a cookie contains hair, the probability that it was baked by C is
P(From C given that it Contains Hair) = P(C|H)
P(H|C) = P(Cookie from C) | P(Contains Hair)
P(H|C) = P(Cookie from C and Contains Hair) / P(Contains Hair)
P(H|C) = P(C ∩ H)/P(H)
P(H|C) = (0.05X0.60)/(0.75X0.05) + (0.20X0.20) + (0.05X0.60)
P(H|C) = 0.2791
In Percentage,
P(From C given that it Contains Hair) = 27.91%
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prove or provide a counter example of the following statement: if a and b are similar matrices and v is an eigenvector of a, then v is also an eigenvector of b.
If A and B are similar matrices and v is an eigenvector of A, then v is also an eigenvector of B , similarly if u is an eigenvector of B then u is also eigenvector of A.
Suppose A and B are n×n matrices over R or C. We say A and B are similar, or that A is similar to B, if there exists a matrix P such that B =P⁻¹AP.
The eigenvalues are the roots of the
characteristic polynomial.
B =P⁻¹AP ⇔ PBP⁻¹ = A
If Av = λv , then PBP⁻¹v = λv ⇒ BP⁻¹v = P⁻¹λv
So, if v is an eigenvector of A, with eigenvalue λ, then P⁻¹v (which is non-zero since P is invertible) is an eigenvector of B with the same eigenvalue. If u is an eigenvector for B then P⁻¹v is an eigenvector for A. So, every eigenvalue of A is an eigenvalue of B and since you can interchange the roles of A and B in the previous calculations, every eigenvalue of B is an eigenvalue of A too. Hence, A and B have the same eigenvalues.
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Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Can someone please give me this answer
Answer:
42°
Step-by-step explanation:
According to Exterior Angle Theorem,
an exterior angle of a ∆ is equal to the sum of the opposite interior angles.
So,
h+96°=138°
h=138°-96°
h=42°
USING YOUR MAT
A donut shop sold 40 donuts of which 15% of the donuts were jelly and 35% of the donuts were glazed. Using products find
(b) the number of donuts that were glazed
(a) the number of donuts that were jelly
were glazed.
Answer:
for a you do 35%40 which is 14 for b you do 15%of 40=6 and since the number of jelly were glazed it's 6
HELP ME THE TWO AT THE BOTTOM PLEASE I WIL MARK BRAINLIEST
7) 28/80
because it’s being multiplied by 2
6) 60/ 64
because it’s being multiplied by 4
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet and a height of 20 feet. Container B has a diameter of 16 feet and a height of 12 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
Answer:
After the pumping, Container B is 11.8\%11.8% empty.
Step-by-step explanation:
The volume of water inside Container B equals the entire volume of Container A. The empty portion of Container B is equal to the entire volume of Container B minus the volume of water inside Container B. So the volume of empty space inside Container B is equal to 1570.7963-1385.44241570.7963−1385.4424 which equals 185.3539. The percent of Container B that is empty can be found by setting up a proportion with the entire volume of Container B: 11.8 %
28134÷71 with remainder
Answer:
396 with a remainder of 18
Step-by-step explanation:
0 0 3 9 6
7 1 2 8 1 3 4
− 0
2 8
− 0
2 8 1
− 2 1 3
6 8 3
− 6 3 9
4 4 4
− 4 2 6
1 8
Ive been trying to get this question but i still cant seem to understand it please help
Answer:
D:x=2
Step-by-step explanation:
Rest of the triangle is just a distraction. The distance from B to any point in the bysector is the same as the distance from C to the same point (you can look at BDF and CDF and notice they're congruent by SAS). at this point it's just solving
\(2x + 3 = 4x - 1 \)
which has 2 as a solution
Michelle earns $25.00 per hour at her job. Which answer choice is an equation that correctly represents the total amount of money, m, that Michelle earns after working for a certain number of hours, h?
If you divide 3/4 by 4/7 what is the answer in fraction form?
a ball is thrown upward with an initial height of 3 feet with an initial upward velocity 37 ft/s the balls heigh in feet after t second is given by h=3=+37t-16t^2
Answer:
\(t = 1.45\) or \(t = 0.86\)
Step-by-step explanation:
Given
\(h=3+37t-16t^2\)
Required
Find all values of t when height is 23 feet
To solve this, we simply substitute 23 for h
\(23=3+37t-16t^2\)
Collect like terms
\(16t^2 - 37t - 3 + 23=0\)
\(16t^2 - 37t +20=0\)
Solve t using quadratic formula;
\(t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}\)
Where a = 16, b =-37 and c = 20
\(t = \frac{-(-37)\±\sqrt{(-37)^2 - 4*16*20}}{2*16}\)
\(t = \frac{37\±\sqrt{(-37)^2 - 4*16*20}}{2*16}\)
\(t = \frac{37\±\sqrt{1369 - 1280}}{32}\)
\(t = \frac{37\±\sqrt{89}}{32}\)
\(t = \frac{37\±9.43}{32}\)
\(t = \frac{37+9.43}{32}\) or \(t = \frac{37-9.43}{32}\)
\(t = \frac{46.43}{32}\) or \(t = \frac{27.57}{32}\)
\(t = \frac{46.43}{32}\) or \(t = \frac{27.57}{32}\)
\(t = 1.45\) or \(t = 0.86\)
AB= please help step by step
Answer:
8x−14
Step-by-step explanation:
3x - 4 + 5x - 10
=3x+−4+5x+−10
Combine Like Terms:
=3x+−4+5x+−10
=(3x+5x)+(−4+−10)
Which expression is equivalent to
O
1
125
ܝܐܐܗ ܝ
125
05
(5-2)(5-¹) ₂
Answer:
\((125)\)
(5-2)(5_-1)2
Calculate the probability for the following situation, then select the correct answer:
You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 6 (assume the ace is equal to 1) from the deck?
The probability is P = 0.135
How to find the probability?
First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.
P(head) = 1/2P(odd number) = 3/6 (there are 3 odd numbers on the dice)P(card greater than 6) = 28/52 (28 cards with numbers larger than 6).The joint probability is given by the product between the individual probabilities, so we get:
P = (1/2)*(3/6)*(28/52) = 0.135
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tr(n)*2 I NEE HELP ASAP
Answer:
2TRN
Let me know if this is wrong!
233115555532224444432
Write and evaluate an expression for the problem.
You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?
An expression is _
The change received is $_
Answer:
An expression is x=20-12
The change received is $8
Step-by-step explanation: