h2 - h
h2 - 25
Trying to factor by splitting the middle term
1.1 Factoring h2 - h - 20
The first term is, h2 its coefficient is 1 .
The middle term is, -h its coefficient is -1 .
The last term, "the constant", is -20
: Multiply the coefficient of the first term by the constant 1 • -20 = -20
: Find two factors of -20 whose sum equals the coefficient of the middle term, which is -1 .
What is the answer? (-3,7x) x (5.1y)
(−3.7x)(5.1y)
= −18.87xy
Find the surface area of the following figure.
11 yd
6 yd
C
Answer:
263.76 square yards
Step-by-step explanation:
SA=2(3.14)r^2 + 2(3.14)rh
SA=2(3.14)(3)^2 + 2(3.14)(3)(11)
SA=56.52+207.24
263.76 square yards
Solve and graph the solution to the inequality. -4z+8<-27+z
Answer:
z>7
Step-by-step explanation:
subtract z from both sides, then subtract 8 from both sides. The, divide both by the -5 (and remember to flip the sign since you divided by a negative number).
Maggie bought 30 pounds of produce to feed her hungry hippopotamus. Bananas cost $1 per pound; guavas cost $2 per pound; and dragon fruit costs $3 per pound. Maggie spent $46. The weight of the bananas that Maggie bought was twice the weight of the guavas and dragon fruit combined. Which system of equations in three variables can be used to determine how many pounds of each fruit Maggie bought?
Answer: Required system:
x+y+z=30
x+2y+3z = 46
x= 2y+2z
Step-by-step explanation:
let x= Number of pounds of bananas
y = Number of pounds of guavas
z = Number of pounds of dragon fruit
According to the question,
x+y+z=30 (i) (total fruits bought = 30 pounds)
Bananas cost $1 per pound; guavas cost $2 per pound; and dragon fruit costs $3 per pound and total cost = $46.
∴ x+2y+3z = 46 (ii)
Also, weight of the bananas= 2 (weight of the guavas+ weight of dragon fruit)
∴ x = 2(y+z)
⇒x= 2y+2z (iii)
from (i), (ii) and (iii)
x+y+z=30
x+2y+3z = 46
x= 2y+2z
are the equations for the required system.
3×7=21 is direct or indirect proportion. give a reason for your answer
Unit 8, Lesson 4
Practice Problems
1. A carnival game has 160 rubber ducks floating in a pool. The person playing the game
takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none
of them have won a large prize.
Estimate the number of the 160 ducks that you think have red marks on the bottom.
Then estimate the number of ducks you think have blue marks. Explain your reasoning.
Answer:
3
Step-by-step explanation:
Pedro signed up for a streaming service that cost 13$ per month. The service allows Pedro to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. how much total money would Pedro have to pay in a month in which he downloaded 45 songs? How much would he have to pay if he download s songs?
Answer:
46.75 dollars and 13 + 0.75s = x
Step-by-step explanation:
13+.75S=Monthly payment
13+.75(45)=46.75
If he downloaded 45 songs he would pay 46.75 dollars
If he downloaded S songs he would pay 13 + 0.75s = x
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?
Answer:
The probability of getting exactly iblue is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]from\ the\ given\ condition.[/tex]
[tex]We\ only\ have\ two\ way.[/tex]
[tex]One\ way\ is\ the\ first\ one\ take\ the\ blue.[/tex]
[tex]one\ but\ the\ second\ one\ take\ red.\ one.[/tex]
[tex]Another\ way\ is\ the\ first\ one\ take\ the\ red.[/tex]
[tex]one\ but\ the\ second\ one\ take\ the\ blue.[/tex]
[tex]one.[/tex]
[tex]so.\ P_1=\frac{4}{9}\times\frac{5}{8}=\frac{5}{18}[/tex]
[tex]P_2=\frac{5}{9}\times\frac{4}{8}=\frac{5}{18}[/tex]
[tex]so.\ we\ have\ p=p_1+p_2=\frac{5}{18}+\frac{5}{16}=\frac{5}{9}[/tex]
I hope this helps you
:)
Which equation represents the data in the table?
Answer:
C
Step-by-step explanation:
I usually solve these problems by process of elimination, but you can solve these differently!
A. y=1/2x. This would basically mean to divide x by 2 to get y. We can see 2/2=1, 4/2=2, 6/2=3, and 8/2=4. This does not match up with the table, where the numbers are 1, 5, 9, and 13. 1, 5, 9, and 13 are not equal to 1, 2, 3, and 4. So A is not our answer.
B. y=x-1. This would mean to subtract 1 from x to get y. 2-1=1, 4-1=3, 6-1=5, and 8-1=7. This does not match up with the table. 1, 3, 5, and 7 is not equal to 1, 5, 9, and 13.
C. y=2x-3. This would mean we would multiply 2 by x and subtract 3 to get y. 2*2-3=1, 2*4-3=5, 2*6-3=9, and 2*8-3=13. 1, 5, 9, and 13 are equal to 1, 5, 9, and 13, so this will be our answer.
D. y=3x-5. This would mean we would multiply 3 by x and subtract by 5. 3*2-5=1, 3*4-5=7, 3*6-5=13, and 3*8-5=21. This is not equal to 1, 5, 9, and 13.
Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.
Answer: ∠B = 42° ∠A = 23° ∠F = 115°
Step-by-step explanation:
∠B≅∠C alternate interior angles 42°
∠CDF is supplementary to ∠CDE,
so m∠CDF = 23° and ∠FAB≅∠CDF so m∠FAB= 23°
also ∠A ≅ CDE corresponding angles 157° ∠FAB is suplementary to ∠A
so 180 - 157 = 23 gives the m∠FAB
The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)
180- 65 = 115 = m∠F
If the equation 2x
2 – 8x – 42 = 0 is solved by factoring, what is its positive
solution set?
A. {-3} B. {5} C. {6} D. {7}
Answer:
B.{5}
Step-by-step explanation:
2-8x-42=0
(÷2), we get,
1-4x-21=0
-4x-20=0
-4x=20
x=20÷(-4)
x=(-5)
since the question asks for a positive set, the answer is [x=5]
The positive solution set is D. {7}.
What is a set ?A set is a well defined collection of objects written by commas and closed by second brackets.
According to the given question the equation 2x² - 8x - 42 = 0 have two factors and we have write the positive factor in form of a set.
2x² - 8x - 42 = 0
x² - 4x - 21 = 0
x² -7x + 3x - 21 = 0
x(x-7) + 3(x - 7) = 0
(X+3) = 0 OR (x-7) = 0
x = -3 OR x = 7.
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I made a bunch of mini
pies to eat and give to my
neighbors for pie day. I
want to tie ribbons around
5 of them. The pies are
each 3 inches in diameter.
How many inches of ribbon
do I need?
Answer:
15 inches is needed of ribbon
i don’t really understand this
Answer:
you put the -3 where the x's are
Step-by-step explanation:
f(x)= -2(-3)^2 - 3(-3) + 6
i think i hope thats right
Answer:
Plug in -3 into all the x's are
Step-by-step explanation:
f(x)= -2(-3)²-3(-3)+6
describe the pattern for each sequence ( the first box )
Answer:
2: decrease by 3
3: double total previous number
4: divide by haf of previous total
Step-by-step explanation:
2: decrease by 3
3: double total previous number
4: divide by haf of previous total
Have an amazing day!!
PLEASE RATE!!
What is the image point of ( 4 , − 6 ) (4,−6) after a translation right 5 units and up 4 units?
Answer:
(9,-2)
Step-by-step explanation:
5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them. Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)
Need help mark you as brailiest
Answer:
C,F
Step-by-step explanation:
please help with my math its Two-step mixed operation word problems
Answer: 5 more times.
Step-by-step explanation: In total, it takes her 4 minutes to climb to the top of the water slide and slide down. Because the water slide closes in 20 minutes, she can slide down more 5 times. 5 x 4 equals 20.
Have a great day! :)
Which graph best represents the following equation?
y + 3 = |x – 5|
Answer:
This one
Step-by-step explanation:
The graph of the function y + 3 = |x - 5| is the first diagram given in the options.
What is modulus function ?A modulus function always outputs positive numeric value irrespective of the sign of the input.
According to the given question we have to determine the graph of y + 3 = | x - 5 |.
So, y + 3 = | x - 5|
y = | x - 5 | - 3.
Now to obtain the vertex of the graph we'll set x -5 = 0 .
x = 5 and that corresponds to y value of -=3.
So, the vertex of the graph is (5,-3).
Now to plot the function we'll select some values of less than and greater than 5.
When x = 2 , y = 0. x = 4 , y = 2. x= 6 , y = -2. x = 8 y = 0.
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Jacob earns $15 per hour. He has saved $200 and is planning to buy a dresser that costs $500. Which of these represent the number of hours' pay, x, that Jacob must save to be able to purchase the dresser?
Answer:
500 - 200 = 300. 300 ÷ 15 = 20. Jacob needs 20 hours of pay for the dresser
If VZ=p–7 and WY=p–21, what is the value of p?
Answer:
35
Step-by-step explanation:
By the triangle midsegment theorem, 2(WY)=VZ.
So, 2(p-21)=p-7, meaning p=35.
If f(x) = -4x - 5 and
g(x) = 3 - X,
what is g(-4) + f(1)?
If f(x) = -4x - 5 and g(x) = 3 - X,the value g(-4) + f(1) is equal to -2.
The function f(x) is f(x)=-4x-5
The function g(x) is g(x)=3-x
g(-4)=3-(-4)=3+4=7
f(1)=-4(1)-5=-9
g(-4)+f(1)=7+(-9)=7-9=-2
What is the composition of functions?
Composition is the process of the generation of new functions.It is basically applying a function to a function.The domain is also changed for the new function.A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.To learn more about the composition of function visit:
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Suppose the length of the diagonal of this rectangular television screen is 29 inches and the length of the base of the screen is 21 inches.
What is h, the height of the television screen?
A. 25 in.
B. 21 in.
C. 15 in.
D. 20 in.
Answer:
D. 20 in
Step-by-step explanation:
Each leg of an isosceles triangle is 3 units less than the length of its base. If the perimeter is 30 units, how long is each leg
Answer: 9 units
Step-by-step explanation:
A cheetah runs at a speed of 54 miles for every hour. If the distance traveled, I miles, is d and time, in hours, is t, which equation shows the e eels between d and t?
Answer:
I believe you already selected the correct answer in the picture
Find the value of x.
x = 4
Step-by-step explanation:
21x + 6 = 90°
21x = 90 - 6
21x = 84
x = 84/21
x = 4
Sam is a forklift operator at a Los Angeles warehouse. A 500 kg crate arrived from Taiwan. His forklift can load 2,500 lb. He wants to know if it is safe to lift the crate. How many pounds does the crate weigh?
PLZZZ HELP
1 kg = 2.2 pounds ( rounded to the nearest tenth)
500 kg x 2.2 = 1,100 pounds
1100 pounds is less than 2,500 so the forklift can lift it.
Answer:
2,500= 1133.981
Step-by-step
The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237
= 1133.980925 kg
0.45359237 this is the conversion rate therefore 1134 is the answer (was rounded)
A cylinder has a height of 15 meters and a diameter of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Step-by-step explanation:
15+8= 23
math magician I like math but I really don't some time know how to do it but if their is wrong then you have to ask your teacher or look in your notebook
Can someone please help me with this by doing L hospitals rule?
Answer: [tex]\frac{-m^2+n^2}{2}[/tex]
If the font is too small, it says (-m^2+n^2)/2
==============================================
Explanation:
If you plug x = 0 into the original expression, then you'll get the indeterminant form 0/0 after simplifying.
Recall that cos(0) = 1
So we use L'Hospitals rule to derive the numerator and denominator separately (don't use the quotient rule)
[tex]\displaystyle \lim_{x\to0} \frac{\cos(mx)-\cos(nx)}{x^2}\\\\\\\displaystyle \lim_{x\to0} \frac{-m\sin(mx)+n\sin(nx)}{2x}\\\\\\[/tex]
Plug x = 0 into this new expression. You should get 0/0 again here as well, which means you'll have to do another round of L'Hospital
[tex]\displaystyle \lim_{x\to0} \frac{-m^2\cos(mx)+n^2\cos(nx)}{2}\\\\\\[/tex]
Now plugging in x = 0 leads to something that isn't indeterminant
Evaluating the limit gets us
[tex]\displaystyle \lim_{x\to0} \frac{-m^2\cos(mx)+n^2\cos(nx)}{2}\\\\\\=\frac{-m^2\cos(m*0)+n^2\cos(n*0)}{2}\\\\\\= \frac{-m^2+n^2}{2}\\\\\\[/tex]
Bob starts off with a certain amount of oranges. After giving three away, he now has seven. How many oranges did bob start with?
Which set is closed under multiplication?
A. integers
B. prime numbers
C. negative numbers
D. {5, 10, 15,20}
Step-by-step explanation:
A
Because the multiplication of two integers still results in an integer.