Answers
Step-by-step explanation:
To start, every term has an
x
in common, so we can factor that out. Doing this, we get
x
(
x
2
+
x
−
42
)
=
0
What I have in blue can be factored by a thought experiment. What two numbers have a sum of
1
and a product of
−
42
?
After some trial and error, we arrive at
−
6
and
7
. Thus, this business can be factored as
x
(
x
−
6
)
(
x
+
7
)
=
0
We can leverage the zero product property here, setting all three terms equal to zero. As our zeroes, we get
x
=
0
,
x
=
6
, and
x
=
−
7
Related Questions
3.1 Factorise completely
3.1.2 3x2 - 2x - 8
Answers
Answer:
3x² – 2x – 8
=> 3x² – 6x + 4x – 8
=> 3x( x – 2 ) + 4( x – 2 )
=> ( 3x + 4 ) ( x – 2 )
Therefore,
Either, 3x + 4 = 0
3x = - 4
x = - 4/3 (Ans)
And,
x – 2 = 0
x = 2 (Ans)
Answer:
(x - 2)(3x + 4)
Step-by-step explanation:
Given
3x² - 2x - 8
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 8 = - 24 and sum = - 2
The factors are - 6 and + 4
Use these factors to split the x- term
3x² - 6x + 4x - 8 ( factor the first/second and third/fourth terms )
= 3x(x - 2) + 4(x - 2) ← factor out (x - 2) from each term
= (x - 2)(3x + 4)
Type in the missing terms in this sequence of square numbers.
1, 4, 9, ?,25,36,?,64,81,100,?,144
Answers
*16
25,36
*49
64,81,100
*121
144
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 3 inches. How much paper will she use?
Answers
Answer: [tex]282\ in.^2[/tex]
Step-by-step explanation:
Given
dimension of box are
[tex]h=22\ in.\\[/tex]
Square base length is [tex]l=3\ in.[/tex]
[tex]\therefore w=3\ in.[/tex]
The surface area of a rectangular prism is
[tex]S.A.=2[lb+bh+hl][/tex]
The paper area must be equal to the surface area of the prism
[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]
Complete the equations below.
Answers
Answer:
3.64 ÷ 7 = 364 hundredths ÷ 7
3.64 ÷ 7 = 52 hundredths
3.64 ÷ 7 = 0.52
Step-by-step explanation:
14)
Which function describes the arithmetic sequence shown?
7,9, 11, 13, 15, 17,
A)
f(x) = 2x - 5
B)
f(x) = 5x - 2
C)
f(x) = 2x + 5
D)
f(x) = 5x + 2
Answers
Answer:
f(x) = 2x+5
Step-by-step explanation:
Given the arithmetic sequence shown
7,9, 11, 13, 15, 17,
THe nth term of the sequence is expressed as;
Tn = a + (n-1)d
a is the first term = 7
d is the common difference = 9-7 = 11-9 = 2
Substitute
Tn = 7 + (n -1)*2
Tn = 7 + 2n - 2
Tn = 2n + 5
Hence the required function is f(x) = 2x+5
John ate three hot dogs at a hot dog eating contest in 45 seconds. How many hot dogs
should he be able to eat in the 5 minute contest limit?
show work
Answers
Answer:
5÷0.45=11.1
11x3=33
Step-by-step explanation:
300/45=6.67x3=20
He would be able to eat 20 hot dogs
What type of graph is this
Answers
Answer:
Its a graph to find out the median. Or can be called a box plot
Step-by-step explanation:
A container truck needs to transport goods from Glenville to Summerview. The container is a rectangular prism. It has a length of 18 feet, a width of 7 feet, and a height of 6 feet. What is the volume of the container? A. 672 cubic feet B. 882 cubic feet C. 756 cubic feet
Answers
Volume of the container is option C. 756 cubic feet.
What is Rectangular Prism?Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.
Volume of a three dimensional shape is the space occupied by the shape.
Volume of a rectangular prism = Length × Width × Height
Given,
Length = 18 feet
Width = 7 feet
Height = 6 feet
Volume = 18 × 7 × 6 = 756 feet³
Hence 756 cubic feet is the volume of the container.
Learn more about Rectangular Prism here :
https://brainly.com/question/21308574
#SPJ1
Instant Meals sent out free samples to introduce its new product, Sesame soup. Each sample weighs 69 g. The post office charges thirty-six cents for every 23 g of weight. How much would Instant Meals spend on postage to mail out one hundred eighty-eight samples?
Answers
Answer:
$203.04
Step-by-step explanation:
The computation is shown below:
23 ounces to be $0.36
And,
69 ounces be x
So here x
= (69 ounces × $0.36) ÷ 23 ounces
= $1.08
Since there is 188 samples, so the total value is
= $1.08 × 188
= $203.04
what is the formula to find the area of a triangle? choose all that apply
Answers
Answer:
the second and thrid one :)
Step-by-step explanation:
An investment of $7.560 earns interest at the ate of 5% and is compounded quarterly. What is the accumulated value of the investment at the of 9years.
Answers
Answer:
FV= $11,823.42
Step-by-step explanation:
Giving the following information:
Initial investment= $7,560
Interest rate= 0.05 / 4= 0.0125
Number of periods= 9*4= 36 quarters
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 7,560*(1.0125^36)
FV= $11,823.42
The polygons to the right are similar. Find the value of each variable. (Simply your answers.)
x = ___
y = ___
Answers
Answer:
x=15
y=8
if the triangles are proportional, then the smaller triangle is half the size of the large triangle
Which equation represents the relationship between x and y?
A. y = x + 25
B. y = 25x
C. x =25y
D. x = y +25
Answers
Help help help help help help
Answers
Answer:
volume = 160 cm³
Step-by-step explanation:
volume = 4 x 4 x 10 = 160 cm³
4x4x10 = 160
Cm^3 is the unit for volume
Which one? Please be honest.
Answers
Answer:
x = 24, y = 19
Step-by-step explanation:
Form the question,
Note: opposite side of a parallelogram are equal.
From the diagram,
2x-8 = x+16
Solve for x.
Collect like terms
2x-x = 16+8
x = 24.
Also,
2y = y+19
Solve for y
Collect like terms
2y-y = 19
y = 19.
Hence, x = 24, y = 19.
The first option is correct
Complete the equation to show how to find the sum of 7/10 and 20/100. Write your answers in the boxes. HALP MEH PLS IM DO THIS QUESTION FOR AN HOUR AND IM STUCK ON IT TvT
Answers
Answer:
9/10
Step-by-step explanation:
7
10
+
20
100
=
7
10
+
1
5
=
7
10
+
2
10
=
7+2
10
=
9
10
(Decimal: 0.9
The equation: 7/10 + 20/100 = 70/100 + 20/100 = 90/100 = 9/10
Explanation: You have to find the common denominator (which is a same bottom number) so you multiple 10 times 10 to get 100, giving us 7/100 + 20/100.
and now that you’ve got the same denominator you have to do what you did on the bottom to the top so now we need to multiply 7 (the top number) by 10, giving us 70 and we keep 20 the same because we kept that fraction the same
By now you just do normal addition
70/100 + 20/100 = 90/100 but we know we can simplify that to make it smaller and 10 can go into both of those numbers so (10 x 9 = 90 and 10 x 10 = 100) so we would have 9/10 as our final answer
Hope this helped :)
I am taking over this site
Answers
Answer:
Excuse me what do u mean
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.
Answers
Answer:
A= 94°, B = 102°, C = 86°, D = 78°Step-by-step explanation:
ABCD is a cyclic quadrilateral
It has the property that opposite angles are supplementary: A with C and B with D.
Solve following for x:
x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°The angles are:
A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°Oak Street and Elm Street run parallel to each other.
When Main Street
intersects them, it forms exterior Z8, measuring 60°.
What is the measure of
22?
Answers
Two photos were taken of a car.
photo 2 was taken 0.5 seconds after photo 1.
the marks on the road are 0.8 metres apart.
calculate the average speed of the car in m/s.
Answers
Answer:
14.4 m / s
Step-by-step explanation:
=distance between the car
=0.8 × 9
=7.2m
=time taken
=0.5s
=speed
=distance/time
=7.2m/0.5s
=14.4 m / s
A customer buys a table on hire purchase. He makes a deposit of $306 and pays 6 monthly instalments of $60 each. The total cost to the customer is
A) $360
B) $366
C) $666
D) $966
Answers
Answer:
c = $666
Step-by-step explanation:
he already paid $306 then pays $60 for 6 months which is $360
so $360 + $306 is $666 which is c
EQ: How do you use elimination to solve a system of
equations?
Answers
Answer:
Step-by-step explanation:
when you use elimination you want to set two of the terms, in the different equations, equal to each other and then subtract the entire equation from the other, so that the two terms cancel out. Then you have an equation with one less variable in it. :)
what's the value of x?
[tex] {x}^{2} = 625[/tex]
Answers
Answer:
hey mate!!
Step-by-step explanation:
x^2=625
x=√625
x=25
hope it helps
How do I answer the LSA and TSA?
Answers
Answer:
Lateral - 107.9
Total - 148.8
the right is the other guy :)
Step-by-step explanation:
i dunno TvT
SAYS I NEED MORE WORDS OK HERE I AM
Answers
Answer:
g=25 ÷d
Step-by-step explanation:
Convert to pints: 10 quarts
20 pints
1 pints
100 pints
5 pints
Answers
Answer:
20
Step-by-step explanation:
20 pints because your convert 10 quarts into pints
Answer:
i think 100 pints
The base of a square pyramid is 6 inches and the height is 8 inches. Find the slant height of the pyramid.
Answers
Answer:
the slant height of the pyramid = 8.54 in
Step-by-step explanation:
The slant height, height and half of the side of square makes a right angle triangle in a square base pyramid.
Let slant height be l, then 3(base), 8(perpendicular) and l(hypotenuse) make a right angle triangle.
Therefore by Pythagoras principle
l^2 = 8^2+ 3^2
⇒l = √(64+9) = √73
l = 8.54 in
the slant height of the pyramid = 8.54 in
Helppppppppppppppppppp
Answers
x=3
Answer:
x = 3
1. Subtract 5 from both sides of the equation.
6 + 5 = 3 + 1 4 6 + 5 − 5 = 3 + 1 4 − 5
2. Simplify
Subtract the numbers 6 = 3 + 9
3. Subtract 3x from both sides of the equation.
6 = 3 + 9 6 − 3 = 3 + 9 − 3
4. Simplify.
Combine like terms - 3x = 9
5. Divide both sides of the equation by the same term
3 = 9 3 3 = 9 3
6. Simplify
Cancel terms that are in both the numerator and denominator Divide the numbers = 3
Which equation has no solution?
13y+2-2y=10y+3-7
9(3y+7)-2=3(-9y+9)
32.1y+3.1+2.4y-8.2=34.5y-5.1
5(2.2y+3.4)=5(y-2)+6y
Answers
Answer:
D has no solution
I hope this helps a little bit.
!!!NOT A QUESTION, I NEED ADVICE!!!
So I am a freshman student, and in like two weeks, I have PSAT testing. (I think that is the name) I have never taken the test before, and I am super nervous. I have good grades because it was easier being an online student this year, but if I fail the PSAT testing, could I get held back?! What would happen if I did bad on the test?! AAA I’M SCARED...HELP!! ;-;
Answers
Answer:
ight so PSAT means pre-SAT. it doesn't affect your grade. an it don't affect yo chances of getting into college. they wanna see where errybody at, you still wanna do yo best. its preparing you for the SAT i took the psat when i was in 8th grade an they want you to take that shi seriously. buh dont stress about it. they give you plenty of time. im in 10th. buh you finna do great you jus gotta trust in yoself