Select from the drop-down menus to correctly complete the sentence
9514 1404 393
Answer:
factors: (x +5) and (2x -1)
zeros: -5 and 1/2
Step-by-step explanation:
The factorization can be aided by considering the factors of ac=2·(-5) that have a sum of b=9.
-10 = -1×10 = -2×5
The sums of these factors are ...
-1+10 = 9 (the pair we want), and -2+5 = 3
This means we can rewrite the function as ...
g(x) = 2x² +10x -x -5
and factor by grouping.
g(x) = (2x² +10x) -(x +5)
g(x) = 2x(x +5) -1(x +5) = (2x -1)(x +5)
The factors of g(x) are (x +5) and (2x -1).
__
The zeros of the function are the values of x that make these factors be zero.
x+5 = 0 ⇒ x = -5
2x -1 = 0 ⇒ 2x = 1 ⇒ x = 1/2
John ate 40% of the candies in a bag. If John ate 20 candies , how many candies were total in the bag ?
Answer:
50
Step-by-step explanation:
There are 50 candies in the bag.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
John ate 40% of the candies in a bag.
If John ate 20 candies.
let the total number of Candies be x.
So, 40% of x = 20
40/ 100 x = 20
x = 2000/ 40
x= 50
Hence, there are total 50 Cadies.
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A group of boy scouts are hiking the Appalachian Trail. They determine that they are traveling at a rate of 5 miles every 2 hours. If they continue at this rate, how long should it take them to travel 10 miles?
Answer:
4 hours
Step-by-step explanation:
5miles /2 hours=10miles/x(proportion)
20miles=5x
x=4
so 4 hours.
Hope this helps :D
If group of boy scouts are hiking the Appalachian Trail. They determine that they are traveling at a rate of 5 miles every 2 hours. It took 4hrs them to travel 10 miles.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
A group of boy scouts are hiking the Appalachian Trail.
They are traveling at a rate of 5 miles every 2 hours
We need to find how long will it take for them to travel 10 miles at the same rate.
Let x be the required time
5/2=10/x
Apply cross multiplication
5x=20
Divide both sides by 5
x=4
Hence it took for them 4 hours to travel 10 miles of distance
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The sides of a rectangular room are perpendicular to each other.
If these sides measure 10m and 12m respectively. Find the total
area of the carpet needed to cover the floor of the room?
Answer:
120 m^2
Step-by-step explanation:
Length of the room = 10 m
Breadth of the room = 12 m
We know that, Area = Length * Breadth
Hence,
Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2
Given the two congruent triangles below, choose which congruence theorem
can be used to prove the triangles are congruent.
A) AAS
C) ASA
B) SSS
D) SAS
Answer:
It is SAS.
Step-by-step explanation:
Because I just know it is correct.
I need help finding the domain
Answer:
[-8, 8]
Step-by-step explanation:
The domain is the x values that the equation/line covers.
The line starts at -8 and ends at 8. We use brackets instead of parenthesis since the circles are closed and not open.
the slope of the line that goes through the points (2,4) and (7,8)
A river is at -150 ft below sea level. A nearby mountain has an elevation of +1350 feet. If Tina hikes from the river to the top of the mountain, how many feet has she hiked?
From the river to sea level would be -150 to 0 = 150 feet.
From sea level to the top of the mountain would be 0 to 1350 = 1350 feet.
Total feet = 150 + 1350 = 1,500 feet
There are 5 members in a running group. Over a period of 4 weeks, each member agreed to run 2 miles each Monday, 3 miles each Wednesday, and 2 miles each Friday. Which expression represents the total number of miles that will be run by all the members in the group? 5×(4×2+3+2) 5×(4×2+3)+2 [5×(4×2+3)]+2 5×[4×(2+3+2)]
Answer:
140 miles
Step-by-step explanation:
Answer:
140 miles I think
Step-by-step explanation:
Angel is trying to find the volume of his closet to see how much can fit inside. If the area of the floor is 36 square feet, and the closet is 613 feet tall, what is the volume in cubic feet?
Answer:
Step-by-step explanation:
Volume of the closet = Area × height of the closet
Volume of the closet = 36sq.ft × 613ft
Volume of the closet = 22068ft³
Hence the volume of the toilet in cubic feet is 22068ft³
have u ever seen 2 pretty besfrens??
yea once
they ain't friends no more
bc I stole one
and now there ain't 2 pretty best frens no more
can someone write me the equation please???
Bruce hiked 8 miles in 2 hours. At this same rate, what is the number of miles Bruce could hike in 7 hours?
Answer:
28 miles
Step-by-step explanation:
8miles/2 hours = x miles/7 Hours
2x=56
x=28
Answer:
28
Step-by-step explanation:
8/2=4
4 times 7 =28
June, Gavyn and Alex share some sweets in the ratio 2:2:1. June gets 14 sweets. How many did Alex get?
brainlest for best answer
Twelve hundred dollars ($1200) is divided among four sisters so that each gets $100 more than her next-youngest sister. How much will the two middle sisters each receive?
Answer:
The two middle sisters will each receive $250 and $350 respectively
Step-by-step explanation:
Let
The 4th sister = x
The 3rd sister = 100 + x
The second sister = 200 + x
The first sister = 300 + x
Total amount to share = $1,200
x + (x + 100) + (x + 200) + (x + 300) = 1,200
x + x + 100 + x + 200 + x + 300 = 1,200
4x + 600 = 1,200
4x = 1,200 - 600
4x = 600
Divide both sides by 4
x = 600/4
= 150
x = $150
There two middle sisters are:
The 3rd sister = 100 + x
= 100 + 150
= $250
The second sister = 200 + x
= 200 + 150
= $350
The two middle sisters will each receive $250 and $350 respectively
The 4th sister = x = $150
The first sister = 300 + x
= 300 + 150
= $450
Which property should Remus use to solve the equation
below?
7q=49
Answer: It should be division property of equality.
Answer:
Division Property of Equality
Step-by-step explanation:
To solve this problem Remus needs to isolate the variable, which means to get rid of the 7. Since the 7 is being multiplied the opposite operation needs to be used; the opposite of multiplication is division. So each side needs to be divided by 7, the division property of equality tells us that an equation can be divided by anything as long as it is done on both sides. So to solve use the division property of equality to do 7q/7=49/7, which equals q=7 when simplified.
ANSWER ALL QUESTIONS PLS
Answer:
C, ACF,A,A,C
Step-by-step explanation:
3:18 - divide 3 into each side
None
Divide like number 1
Switch the numbers and divide
Do the opposite of number 1
Priya is given the following Prime Factorisations: 45=3 x 3 x 5 and 105 = 3 x 5 x 7
She uses this information as follows:
The HCF of 45 and 105 is 15 and the LCM of 45 and 105 is 105.
Priya is wrong. What mistake has she made?
answers
105= 5×5×5
Step-by-step explanation:
priya is wrong because 105 factorism is 5×5×5
Answer:
105= 5×5×5
Step-by-step explanation:
Priya is wrong because 105 factorism is 5×5×5
7 inches more than normal as an integer
Answer:
I'm confused
Step-by-step explanation:
At Ice Cream Haven, 6 of the last 8 sundaes sold had nuts. What is the experimental probability that the next sundae sold will have nuts? Write your answer as a fraction or whole number.
Answer:
6/8
Step-by-step explanation:
Answer:
3/4 or 75%
Step.-by-step explanation:
6/8 = 3/4.
Find f(-3) when f(x) = -x2 + 1
A)
-10
B)
-8
C)
7
D)
8
Answer:
f(-3) = -8
Step-by-step explanation:
f(-3) = - x^2 + 1f(-3) = - (-3)^2 + 1f(-3) = - (9) + 1f(-3) = - 9 + 1f(-3) = -8Connecting the dots question
it's the 3rd one.
Step-by-step explanation:
start with the bottom point of the top triangle and go up left, across, down, then straight down to the bottom triangle. then you can go left or right to connect it.
B is the midpoint of AC and D is the midpoint of CE. Solve for x,
given BD - 3x + 3 and AE = 5x + 11.
PLEASE HELP FOR GEOMETRY
Step-by-step explanation:
Required Answer:-ATQ[tex]{:}\longrightarrow[/tex][tex]\sf 2BD=AE[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2 (-3x+3)=5x+11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -6x+6=5x+11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -6x-5x=11-6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -11x=5 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{-11}}[/tex]
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
Midline BD is half the length of base AE, so we have ...
2BD = AE
2(3x +3) = 5x +11
6x +6 = 5x +11 . . . eliminate parentheses
x = 5 . . . . . . . . . subtract 5x+6
n(A)=10
n(B) = 12
n(AUB) = ?
Answer:
n(AUB) = 33
Step-by-step explanation:
U is the 21'st letter of the alphabet so
9 + 1 + 2 + 21 =33
n(AUB) = 33
Help me!!!! Pls ASAP
Answer:
-[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To get the slope you have to find the difference in Y and put it over the difference in X. (x2-x1)/(y2-y1). You plug in the points and you get -1/2
Answer:
-1/2
Step-by-step explanation:
Hope this helps.
Kenny went golfing with his dad. Kenny had a score
of -2 and his dad had a score of +8. How many more
shots did Kenny’s dad take?
Answer:
10
Step-by-step explanation:
just trust me
what is this^
a)rectangular prism
b)pentagonal prism
c)rectangular pyramid
d)hexagonal prism
Answer:
A) rectangular prism
Explanation:
The base is a rectangle, not a pentagon nor hexagon. So B and D are out.
The difference between a prism and a pyramid is the shape.
Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.
There is no pointy top on the object, so it is a rectangular prism.
Toy Emporium is having its annual sale. All items are marked with a 40 percent discount. Find the discounted price for each item and round to the nearest hundredth.
Motorized train for $9.99 =
Doll house for $12.99 =
Building blocks for $5.69 =
Answer:
$9.99
$12 99
$5.69
Step-by-step explanation:
the answer there is not any number in hundred place value
Please help me with this
Answer:
6450
Step-by-step explanation:
i need help asapppppppppppppp!!!! solve for x
Answer:x = 3
because (34x - 2) and (32x + 4) are two opposite angles
=> 34x - 2 = 32x + 4
⇔ 34x - 32x = 4 + 2
⇔ 2x = 6
⇔ x = 3
Step-by-step explanation: