Answer:
Linear, the linear term is -21x and the constant term is -20. Last option is the answer
Step-by-step explanation:
We are given the following function:
[tex]y = (x - 5)(5x + 4) - 5x^2[/tex]
First we have to simplify y, before solving the question:
[tex]y = (x - 5)(5x + 4) - 5x[/tex]
Applying the distributive property:
[tex]y = 5x^2 + 4x - 25x - 20 - 5x^2[/tex]
[tex]y = 0x^2 - 21x - 20[/tex]
[tex]y = -21x - 20[/tex]
No quadratic term, so it is linear.
The linear term is -21x and the constant term is -20.
In AFGH, FG – HF and mZF = 56°. Find m_H.
Answer:
m<H = 62°
Step-by-step explanation:
If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.
Given that m<F = 56°, therefore:
56° + 2(m<H) = 180° (sum of triangle)
2(m<H) = 180° - 56°
2(m<H) = 124°
m<H = 124/2
m<H = 62°
A cereal box has a length of 8 inches, a width of 2 inches and a height of 12 inches. What is the volume of the cereal box?
A. 96 in³
B. 192 in³
C. 48 in³
D. 22 in³
Answer:
192 in cubed
Step-by-step explanation:
Multiply 12*2= 24*8
Answer:
192 should be yyour answer
Step-by-step explanation:
Find the measure. m∠GDF
Answer:
∠GDF = 26°
Step-by-step explanation:
6y + 2 = 7y - 2
subtract 6y from each side of the equation:
2 = y - 2
add 2 to each side:
y = 4
6(4) + 2 = 26°
A sports fan conducted a test to investigate whether male high school athletes are equally divided among football, soccer, swimming, tennis, and basketball. A sample of male high school athletes was selected and the resulting value of the chi-square test statistic was 10.65. Which if the following represents the p value
Answer:
[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]
Step-by-step explanation:
Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.
25. Which two conversions are correct?
A. 7 mm = 70 cm
B. 7 cm = 0.07 m
C. 7,000 m = 7 km
D. 0.7 cm = 70 mm
E. 7 m = 7,000 km
Answer:
The answer is B and C
Step-by-step explanation:
1 Meter is equal to 0.001 Kilometer
1 Centimeter is equal to 0.01 Meters
The unit conversions which has the true measurements are
a) 7 cm = 0.07 m
b) 7,000 m = 7 km
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the unit conversion be represented as A
Let the first measurement be p
where the value of p is
p = 7 cm
From the unit conversion , 1 m = 100 cm
So , 7 cm = 0.07 m
And , let the second measurement be q = 7,000 m
From the unit conversion , 1 km = 1,000 m
7,000 m = 7 km
Hence , the unit conversions are solved
To learn more about unit conversion click :
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evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2
Answer:
5. is the answer
Step-by-step explanation:
What is X in this equation?
Answer:
B) 44
Step-by-step explanation:
x + 54 + 82 = 180
x + 136 = 180
x = 180 - 136
x = 44
What is the answer to 1+1 ?
Answer:
2
Step-by-step explanation:
1+1=2
Thank you for coming to my TED Talk
Answer:
22
Step-by-step explanation:
What is 48/25 simplified
Answer:
exact form - 48/25
decimal form - 1.92
mixed number - 1 23/25
Step-by-step explanation:
it takes 2 days to repair 150 meters of road. at this rate, how many days will it take to repair 6 kilometers of road?
Answer:
4 ndays
Step-by-step explanation:
Determine which polynomial is a perfect square trinomial. Explain your answer.
Group of answer choices
A. 49x2 − 28x + 16
B. 9a2 − 30a + 25
C. 25b2 − 45b − 81
D. 16x2 − 24x − 9
Answer:
The answer is B. 9a2-30a+25
Step-by-step explanation:
First of all, the second sign is going to be +, so you can toss out C and D without checking.
Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.
sqrt(49) * sqrt(16) = 7 * 4 = 28
28 * 2 = 56
56 <> 28
So toss A.
sqrt(9) * sqrt(25) = 3 * 5 = 15
15 * 2 = 30
So the answer is B
(3a - 5)^2 = 9a^2 - 30a + 25
By the way, use ^ to indicate an exponent.
can you help me with this
Answer:
x = 18
Step-by-step explanation:
Sum of exterior angles of any polygon = 360
2x + 2x + 3x + 4x + 4x + 5x = 360
20x = 360 {Divide both sides by 20}
x = 360/20
x = 18
Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.
Answer: 4 3/8 yards of wood
Step-by-step explanation:
It would be 5 times the ammount needed for one birdhouse so it would be-
7/8 x 5= 35/8 or 4 3/8
Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept
x y
0 4
2 9
4 14
6 19
8 24
Answer:
See explanations below
Step-by-step explanation:
Using the coordinate points in the table (0, 4) and (2, 9)
Slope m = y2-y1/x2-x1
m = 9-4/2-0
m = 5/2
slope = 5/2
Get the y-intercept
Substitute m = 5/2 and (0,4) into y = mx+c
4 = 5/2(0) + c
4 = 0+c
c = 4
y-intercept is 4
Get the equation
Recall that y = mx+c
y = 5/2x + 4
Using another 2 points (2,9) and (4, 14)
Slope = 14-9/4-2
Slope = 5/2
Since the slope is the same for the coordinates, hence the the equation is correct
what is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?
Answer:
240
Step-by-step explanation:
12 times 2 is 24
24 times 10 is 240
Have a nice day
Answer:
240 [tex]Inches^{3}[/tex]
Step-by-step explanation:
Are these triangles similar? If yes, write a similarity statement.
PLEASE HELP MEEEE OMG SOMEONE HELP ASAP AND ACTUALLY EXPLAIN THEIR ANSWER PLS PLS PLS IM DESPERATE
solve the exponential growth equation:
y=23,000(1+0.5)^35
Answer:
In the pic.
Step-by-step explanation:
Answer:
27386.718479
Step-by-step explanation:
Hope this helped!!!
I'll add a photo of the problem!
Answer:
its d
Step-by-step explanation:
the number 30 is not listed in the problem there that is info that is not there
henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry
Answer:
4 inches taller
Step-by-step explanation:
aaron is 74 inches
Which number does the blue dot represent on the number line?
|y-x|,if y>x pls dont write in absolute value
Answer:
The answer is y-x
Step-by-step explanation:
Applying the rule that |y| = y when y>0, we can plug in the values of y-x instead of y.
So, |y-x| = y-x if y>0
The area of a rectangular living room is 264 square feet. The length of the room is 2 feet less than twice the width.
What is the width of the living room in feet?
9514 1404 393
Answer:
12 ft
Step-by-step explanation:
Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...
A = LW
264 = (2w-2)w
132 = w² -w . . . . . . . divide by 2, eliminate parentheses
132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square
√132.25 = w -0.5 . . . . . take the square root
0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root
The width of the living room is 12 feet.
a set of speakers that regularly cost $160 are on clearance for 35% off. Find the sales price of the speakers
Answer:
I'm pretty sure this is the answer....
The speakers are $56.
Sorry if i'm wrong. :')
Step-by-step explanation:
Answer:
You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?
First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.
Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:
0.350 x $160 = $56.00.
So for this sale, you'll save $56.00 on this item.
This means, the cost of the item to you is
$160 - $56.00 = $104.00.
Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).
Now what's 65.000% of the total cost?
0.650 x $160 = $104.00.
Just like the result above, the sale price on the item is $104.00
Please I need help with answering B...
5. The average price of a personal computer (PC) is $949.
Computer prices are approximately normally distributed
with = $100.
a. The least expensive 10% of personal computers cost less
than what amount? $821
b. The most expensive 30% of personal computers cost more
than what amount?
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall distance measured. Assume the data are normally distributed. The data follow:
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
1) Is there evidence to show that there is a difference in the mean overall distance of brands? Use alpha = 0.05.
2) Calculate a 95% two-sided confidence interval on the difference in mean overall distance.
Answer:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The 95% CI is [-18.587; 1.01242]
Step-by-step explanation:
The given data is
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
Difference d -16 -5 -19 -13 -16 - 01 -3 -2 20 3 ∑ -98
d² 256 25 361 169 256 1 9 4 400 9 ∑1490
1) Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
2) The degrees of freedom = n-1= 10-1= 9
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
5) The critical region is ║t║≤ t (0.025,9) = ±2.262
Calculations
6) d`= ∑di/n= -98/10= -9.8
Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]
= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884
Sd= 12.825
Therefore
t= d`/ sd/√n
t= -9.8/ 12.825/√10
t= -0.764132/3.16227= -0.241640
7) Conclusion:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
Putting the values
-9.8 ±2.262* 12.825/√10
[-18.587; 1.01242]
Jayden is filling his 290 gallon pool with a garden hose. The garden hose produces 29 gallons of water per hour. How long will it take for Jayden to fill up his pool?
Answer:
10 hours
Step-by-step explanation:
290 divided by 29 = 10
check to see if its correct 29 multiple by 10 is 290
Find the measure of angle B.
Step-by-step explanation:
C = 180 - 112 = 68°
A = 180 - 68 - 51 = 61°
B = 180 - 61 = 119°
Another way :
We know that B = C + 51 ==> B = 68 + 51 = 119°
Which pair of ratios is proportional?
A. 3 ft : 8 sec and 5 ft : 11 sec
B. 6 yd : 10 mi and 18 yd : 30 mi
C. 3:25 and 5:50
D. 6 in. : 8 min and 3 min : 2 in.
3186 people contributed to charity. this was an increase of 486 people over last year. Express the increase as a percentage.
Answer:
18%
Step-by-step explanation:
Given data
People that contributed the last year= 3186-486
=2700people
Hence the percentage change
=486/2700*100
=0.18*100
=18%
Hence the change in the number of people that contributed is 18%
Easy question look at the photo.
Answer:
SSS
Step-by-step explanation:
Answer:
Step-by-step explanation:
sss