Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=-3x^2 +75f(x)=−3x 2 +75f, left parenthesis, x, right parenthesis, equals, minus, 3, x, squared, plus, 75 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals
Answers
Answer:
Smaller x= -5Larger x=5Step-by-step explanation:
Given the function \(f(x)=-3x^2 +75\)
The zeros of the function are the values of x for which f(x)=0.
\(f(x)=-3x^2 +75=0\\-3x^2 +75=0\\-3(x^2-25)=0\\$Divide both sides by -3\\x^2-25=0\\$Add 25 to both sides\\x^2-25+25=0+25\\x^2=25\\$Take the square root \\\sqrt{x^2}=\pm \sqrt{25}\\ x=\pm 5\)
The zeros of f(x) are therefore 5 and -5.
Smaller x= -5Larger x=5Related Questions
Which is the output for the following linear function when the input is
-7?
y-x=2y+1
Options:
6
12
-13
8
Answers
Answer:
A) 6
Step-by-step explanation:
\(y-x=2y+1\\y-(-7)=2y+1\\y+7=2y+1\\7=y+1\\6=y\)
The output is y=6 when the input is x=-7
y+7-1=2y
6=2y-y
y=6
Which equation represents a non-proportional relationship?
y = 3x + 5
y = −3x
y = 3x + 0
y = 13x
Answers
The following scale drawing was made for a home that is for sale. Use this information to answer the problem.
A.)1 in. by 1.5 in.
B.)36 in. by 54 in.
C.)2 in. by 3 in.
D.)18 in. by 27 in.
Answers
Answer:
B.)36 in. by 54 in.
Step-by-step explanation:
It's a 1 to 6 ratio, so I did the dimensions(6 and 9) and multiplied each by 6.
Write 1/6 as a decimal rounded to the nearest thousandth. Thank you! <3
Answers
Answer:
0.167
Step-by-step explanation:
The answer to 1/6 is 0.16666666666 and the thousandth reduces it to 3 decimals so it would be 0.167 because you round up the 6's up to a seven on the 3rd decimal place.
hope this helps :) !!!
Answer:
0.167
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
Simplify 0.1666666666 repeating to 0.167.
Using the graph, determine the equation of the axis of symmetry.
Answers
Answer:
the answer is (-1, -9)
that is the axis of symmetry
This is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
How to find the points symmetric over axes or origin?Let the point be (x,y)
Case 1: Symmetry with respect to the x-axis
The point becomes (x, -y) as the point flips itself up or down which changes its y coordinate to the negative of whatever it was previously. And no motion is done horizontally so no change in x coordinate.
Case 2: Symmetry with respect to y-axis
The point becomes (-x, y) as the point flips itself left or right which changes its x coordinate to negative of whatever it was previously. And no motion is done vertically so no change in y coordinate.
Case 3: Symmetry with respect to origin
Origin is point at (0,0)
Symmetry with this is a bit ill defined. We use a slant line as if its a diagonal of a square.
The point is reflected to its diagonally opposite quadrant to whatever coordinate it belongs to.
Since diagonally opposite reflection causes both x and y axis to become negative of what it was before, thus,
The point becomes (-x,-y)
The axis of symmetry is where the left side is the mirror image of the right side.
Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
It will be the x coordinate of the vertex
x = 1
Learn more about symmetry here:
https://brainly.com/question/7783612
#SPJ2
Sal deposited $5000 in a 60-month CD the paid 5% interest compounded annually. What was the total value of the CD after 5 years?
Answers
=5000(1+5/100)^5
=6381.407
Idk is this what u askin?
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answers
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
help me please first to answer will get brainiest
Answers
Answer:
Step-by-step explanation:
the study guide helps best
Numbers and Operations KA 8th grade- correct answers only ty, and have a great day folks (7 pts)
Answers
Answer:c
Step-by-step explanation:
Answer:
it's c
Step-by-step explanation:
khan academy
Which sentence correctly compares the two points shown on the number line? -1 > 0.25 , -1 < -0.25, -0.25 < -1
Answers
Answer:
-1 < -0.25
Step-by-step explanation:
-1 is less than -0.25
less than symbol = <
greater than symbol = >
Example; -1 > -2 --- negative one is greater than negative two OR -2 < -1 --- negative two is less than negative one
Answer:
-1<-0.25
Step-by-step explanation:
How do you simplify rational expressions
Answers
Answer:
Ok so,
Step-by-step explanation:
Step 1: Factor the numerator and the denominator.
Step 2: List restricted values.
Step 3: Cancel common factors.
Step 4: Reduce to lowest terms and note any restricted values not implied by the expression.
A quality control inspector rejects 253 can openers from a batch of 19,354. What is the experimental probability that a can opener will pass inspection?
Round your answer to the nearest hundredth.
Answers
Answer:
0.99
Step-by-step explanation:
To find the experimental probability, divide the number of can openers that passed inspection by the total number of can openers in the batch:
Passed inspection: \(19,354 -253=19.101\)
Experimental probability: \(19,101\)÷\(19,354=0.987\)
Which rounded to the nearest hundredth is 0.99
19354-253=19101
19101/19354=0.987
Now round to nearest 0.99
The histograms display the frequency of temperatures in two different locations in a 30-day period.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Mean, because Flower Town is symmetric
Mean, because Flower Town is skewed
Median, because Desert Landing is skewed
Median, because Desert Landing is symmetric
Answers
Answer:
nobody asked
Step-by-step explanation:
Answer:
B) the mean because flower town is skewed
Step-by-step explanation:
I just did this on homework last night goodluck
7) Calculate which is the best deal? Fill in the blanks below for your final answer. Round your answers to the nearest penny.
1. Option A- $11.99 for 18.5 pound bag of dog food
2. Option B- $20.99 for 42 pound bag of dog food
Answer: Option ___ is the better deal because it is $___ cheaper per round than option ___.
Answers
Answer:
option b is better because it would be 6 pounds cheaper than option a
Please help due today
Answers
Mean: 20.33 repeating (repeating digit: 3). Answer: Correct
Median: 19 Answer: 19/not filled in
Peak: 19.5 (between 19 and 20 [19+20/2) (between numbers 6 and 7 out of 12) Answer: 19.5/incorrect
Outlier: None, unless on a close scale, 17. Answer: None/Incorrect
Distribution Type: asymmetrical (I think) Answer: Asymmetric/possibly correct
Please give brainliest :D
Answer
Median: 19 & 20
Gap: (Left: 14, 15, & 16) (Right: 22, 23, and 24)
Step-by-step explanation:
What is the distance between -3 and 12
Answers
Hope this helps !!
Please help me out! TY :D
Answers
Answer:
yes google has moat of the answers for these
What is the value of x in the equation -2/3x+9 = 3/4x-3?
Answers
x= 144/17
Decimal form:
x= 8.47
Mixed number form:
x= 8 8/17
help pls im giving brailist
Answers
Answer:
60%
Step-by-step explanation:
There are 40 square in total and 24 are shaded in. 24 is 60% of 40 so there is there answer!
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
Answers
Answer:
Step-by-step explanation:
For every 5:9 AKA for every 5 gallons of food are 9 gallons of yellow
There are 12 squares and 9 circles. What is the simplest ratio of circles to total shapes?
Answers
Answer:
0
Step-by-step explanation:
Someone please solve this for me, I'm offering 30 points, I need a screenshot of your work and a explanation of how you did it to fully understand. Thank you, This is a Middle school level question . I need you to work this on paper, take a picture and attach it to your answer.
Answers
I hope this is what you needed
Explanation: There are a total of 14 movies since each of the numbers shown above represents the number of minutes in a movie so all you have to do is count how many movies have 85-89, 100-114, 115-129, 130-144 minutes
Can you help I don't know the answer?
Answers
Answer:
b
Step-by-step explanation:
In Triangle 1, ∠R = 180° - 100° - 45° = 35°In Triangle 2, ∠S = 180° - 100° - 35° = 45°These triangles are also defined as similar as they share a same pair of anglesokay so i'm doing a puzzle time and the riddle said were does the umpire like to sit when he is eating dinner eating dinner this is puzzle time 3.5
Answers
The head of the table?
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answers
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
50 points Simplify the expression. sin^2 theta/csctheta tan^2theta a. sin^2 theta b.sin cos^2 theta c.sec^2 theta d. csc theta
Answers
Answer:
B. sin(theta) cos^2(theta)
Step-by-step explanation:
sin^2(theta) / csctheta tan^2(theta)
To solve, we convert to sine and cosine and then simplify.
means by the priority of operators (* and / from left to right)
(sin^2(theta) / csctheta) * tan^2(theta)
= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2
= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)
= sin^5(theta) / cos^2(theta)
which obviously does not correspond to any of the answers.
IF the expression were missing parentheses in the denominator, then it becomes:
sin^2(theta) / (csctheta tan^2(theta))
= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))
= sin^2(theta) / (sin(theta)/cos^2(theta)
= sin(theta) cos^2(theta)
which corresponds to answer B.
Answer:
\(\Large \boxed{\bold{B.} \ \mathrm{sin(\theta) \cdot cos^2(\theta) }}\)
Step-by-step explanation:
\(\displaystyle \mathrm{\frac{sin^2(\theta ) }{ csc(\theta) \cdot tan^2(\theta)} }\)
Simplify the expression.
\(\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{1}{sin} (\theta) \cdot \frac{ sin^2(\theta)}{ cos^2(\theta)} } }\)
\(\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{sin^2 }{sin} (\theta) \cdot cos^2(\theta) } }\)
\(\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) \cdot cos^2(\theta) } }\)
\(\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) } \cdot cos^2(\theta) }\)
\(\displaystyle \mathrm{sin(\theta) \cdot cos^2(\theta) }\)
create equivalent ratios by completing a ratio table for each. 1. 7 to 5 ( using multiplication), 2. 50:20 ( using division), 3. 3/4 (using multiplication), 4. 18:48 ( using division)
ASAP
Answers
Step-by-step explanation:
7 : 5
\( \binom{7 \: 14 \: 21 \: 28 \: 35}{5 \: 10 \: 15 \: 20 \: 25} \)
50 : 20
\( \binom{50 \: 25 \: 5}{20 \: 10 \: 2} \)
3 : 8
\( \binom{3 \: 6 \: 9 \: 12 \: 15 \: 18}{8 \: 16 \: 24 \: 32 \: 40 \: 48} \)
18 : 48
\( \binom{18 \: 9 \: 6 \: 3}{48 \: 24 \: 16 \: 8} \)
Ratios must always remain proportional;
Whenever you multiply or divide one part by a number, you must do the same to the other part/s;
When it comes to division, you can divide by all common factors
What is the most common amount students grew in mr zhu
Answers
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️