Answer:
Step-by-step explanation:
x² + (x + 17)² = 25²
x² + x² + 34x + 289 = 625
2x² + 34x - 336 = 0
x² + 17x - 168 = 0
x = (-17 ±√(17² - 4(1)(-168))) / (2(1))
x = 7 or - 24 the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft
base = 7 ft
height = 24 ft
4. Simplify: -3(2x - 5)-2(4x+3)
A.14x-9
B.-2x+21
C.-14x+9
D.-14x+ 21
Can someone help me ?
9. A cheetah is located 100 yards away from an antelope. The cheetah begins running on a straight path toward the antelope at a constant speed of 30 yards per second. At the same time, the antelope begins running away from the cheetah at a constant speed of 25 yards per second. If both animals continue to run on a straight path at the same speeds, how long will it take for the cheetah to catch up to the antelope?
It takes 20 seconds for the cheetah to catch up to the antelope
Speed is the ratio of distance to time taken. It is given by:
Speed = distance / time
Let d represent the distance covered by the cheetah at time t, hence:
30 = d / t
t = d / 30
The antelope is 100 yards away, hence:
25 = (d - 100) / t
t = (d - 100)/25
d/30 = (d - 100)/25
25d = 30d - 3000
d = 600 yards
t = d/30 = 600/30 = 20 seconds
It takes 20 seconds for the cheetah to catch up to the antelope
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Evaluate f(x) at x =-3/4
f(x) = 2 - 6x - 4x^2
Answer:
4.25 is the final answer!!!
Explain two ways you can benchmark percents to find 60% of 280
Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
To find 60% of 280 we first find 10% of 280 which is 28. 6 x 28 = 168.
To find 60% of 280 we first find 50% of 280 which is 140. Now we add 10% which we calculated before: 140 + 28 = 168.
Answer:
Step-by-step explanation:
Explain two ways you can benchmark percents to find 60% of 280
1) 280 : 100 * 60 = 168
2) 280 * 0.6 = 168
how to make it guys please
Answer:
were is the qn?
Step-by-step explanation:
How do you find the null hypothesis when you have the alternative hypothesis?
Answer:
If an alternative hypothesis is accepted the result of the study became significant
A company makes 110 bags. 30 of the bags have buttons but no zips. 23 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?
Well, 30+23+23 = 76 which means there are only a total of 76 bags that are accounted for. 110-76 = 34 bags which we do not know if they have zips or not. If we assume they have zips, that would be 34+23 bags with zips which is 57 bags.
Given the graph of g(x), which is a transformation of f(x)=|x|, write the equation for g(x).
Graph:
Transformations performed:
Equation:
g(x)=
Step-by-step explanation:
g(x) = -f(x+1) + 2
f(x) is first reflected across the x-axis and then translated 1 unit to the left and 2 units up.
Solve 2|x + 2| – 3 ≥ 0 by graphing
this is the answer of the equation as a graph
One snowy day, the snow was falling at a rate of 3 inches per hour.
If it kept snowing at the same rate, now many inches would
accumulate in 24 hours
artice
соо
Answer:
72 inches
Step-by-step explanation:
You would multiply the 3 inches per hour times the 24 hours to get 72 inches of snow.
Answer:
72 Inches
Step-by-step explanation:
24x3=72
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. WRITE AND SOLVE A LINER EQUATION to find the monthly rent for a 1500 square foot office.
I need help and pls do it in The liner equation way which is also given two points.
Answer:
$1325Step-by-step explanation:
Translate the given into two pairs of coordinates:
(800, 975) and (1100, 1125)Work out the equation of the line passing through both of the points.
Find the slope:
m = (1125 - 975) / (1100 - 800) = 0.5Find the y-intercept:
975 = 0.5*800 + b975 = 400 + bb = 975 - 400b = 575The line is:
y = 0.5x + 575Find the value of y when x = 1500:
y = 0.5*1500 + 575 = 1325Function or not a function?
Answer: Not Function
Step-by-step explanation:
The pattern is not consistent.
A boy eats ⅝ of a loaf at breakfast and ¼ of it for Lunch. what fraction of the loaf is Left?
please help this is for my study guide thanks!
Find the equation of a line that passes through the point (2,5) and has a gradient of 2. Leave your answer in the form y = m x + c
Answer:
y=2x+1
Step-by-step explanation:
y-5/x-2=2
2x-4=y-5
y=2x+1
PLEASE HELP THIS IS DUE IN 10 MINUTES!!!!!
b1-h3, b2-h2, b3-h3.
Step-by-step explanation:
See the image.
Hope that helps! :)
(Can you please mark me as brainliest?)
What is the perimeter of the shape below?
3 cm
4 cm
8 cm
4 cm
Answer:
:D
Step-by-step explanation:
it is 19 cm
What would the answer be
Answer:
B.
Step-by-step explanation:
process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer
Find the value of x that makes the equation true:
x + 3 = 4
a. x = 12
b. x = 2
c. x = 1
d. x = 7
will give brainiest pls help!
Step-by-step explanation:
given,
x² + y² = 40
2xy = 24
(x + y)² = x² + 2xy + y²
so,
40 + 24 = 64
therefore option C is correct
hope this answer helps you dear!
Answer:
The answer should be C which is 64
Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?
what is 1/2 + 1/12? Please and thank you
Answer:
7/12
Step-by-step explanation:
1/2 + 1/12?
To add fractions, find the LCD and then combine.
Exact Form:
7 /12
Decimal Form:
0.583
Answer:
18/12 or 3/2
Hope this helps!
Rachel's income for July is $3300. She spent $1000 for rent, $150 on student loans, $100 for a new
tablet, and $450 on groceries. How much of her monthly income is left?
Answer: 1300
Step-by-step explanation:
3300-1000=2000
2000-450=1550
1550-150=1400
1400-100=1300
what is 2/7 divided by 4
Answer:
2/7 ÷ 4= 2/7 × 1/4
=2/28
...................................
answer fully /// /////////////////////
Answer:
Step-by-step explanation:
Yes, but like they say in Vegas, you're trying to make your point the hard way.
8 * (8 - 4) So the distributive property is means remove the brackets.
8*8 - 4*8 What you have done is multiply the numbers on either side of the - sign by 8. It is a good practice NOT to destroy the minus sign just yet.
64 - 32
32 The answer is 32. That's how the distributive property works
With this question only It might be easier to do what is inside the brackets first. That's making your point the easy way.
8*(8-4) = 8* 4 = 32
8.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = −2x2 + 2x − 4
C. y = 4x2 + 2x − 4
D. y = −4x2 − 2x − 4
Answer: y= 4x² +2x -4
C. y = 4x2 + 2x − 4
Step-by-step explanation: f(x)=4x^2+2x-4
Given three points
P1(-2,8)
P2(0,-4)
P3(4,68)
We need the quadratic equation that passes through all three points.
Solution:
We first assume the final equation to be
f(x)=ax^2+bx+c .............................(0)
Observations:
1. Points are not symmetric, so cannot find vertex visually.
2. Using the point (0,-4) we substitute x=0 into f(x) to get
f(0)=0+0+c=-4, hence c=-4.
3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.
f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)
f(4)=a(4^2)+b(4)-4=68 => 16a+4b-4=68.............(2)
4. Solve system
2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)
substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2 ..........(4)
5. Put values c=-4, a=4, b=2 into equation (0) to get
f(x)=4x^2+2x-4
Check:
f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8
f(0)=0+0-4 = -4
f(4)=4(4^2)+2(4)-4=64+8-4=68
So all consistent, => solution ok.
...............................................................................................................................................
Answer:
y = 4x² + 2x − 4
Step-by-step explanation:
The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.
y = 4x² +2x -4
There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...
y = 4x² +2x -4 . . . . . as above
...............................................................................................................................................
90 people apply for job, 10 have no sales or publishing experience, 65 have sales, 58 have publishing, how many have both?
No sales | Sales
No Publishing | 10 __ __
Publishing | __ x 58
__ 65 90
Fill in spots
No sales | Sales
No Publishing | 10 22 32
Publishing | 15 43 58
25 65 90
43 applicants have both sales and publishing experience
PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. What are the zeros of this function?
Answer: C. x = 4 and x = 6
Step-by-step explanation:
Zeros of a function would be the value of x when f(x) is 0.
Based on the given graph, the parabola has 2 locations where the y-value is 0 and the graph hits the x-axis.
The graph hits the x-axis at 4 and at 6.
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
What are the zeros of the following function?
Answer:
Hence , (a,0) is a zeros of a function
A shipment contains 10 igneous, 8 sedimentary, and 8 metamorphic rocks If 8 rocks are selected at random, find the probability that exactly 6 are sedimentary
The probability that exactly 6 of the rocks are sedimentary is
(Round to four decimal places as needed.)
The probability that exactly 6 are sedimentary is 0.00002
Probability is the likelihood or chance that an event will occur.Given the total amount of rocks = 10 + 8 + 8 = 26 rocksIf there is a total of 8 sedimentary rocks, the total outcome will be expressed as:
26C8 = 26!/(26-8)!8!
26C8 = 1562275
If exactly 6 are sedimentary are selected out of 8 sedimentary rocks, then the expected outcome is ;
8C6 = 8!/(8-6)!6!
8C6 = 28
Pr(exactly 6 are sedimentary ) = 28/1562275
Pr(exactly 6 are sedimentary ) = 0.000017922
Hence the probability that exactly 6 are sedimentary is 0.00002
Learn more on probability here: https://brainly.com/question/13604758