Honestly if anyone could help be understand how to solve these by factoring, that would be great! Thank you!
Answer:
1) Option 3
2) Option 3
3) Option 3
4) Option 1
5) Option 2
6) Option 3
7) Option 1
Step-by-step explanation:
1) [tex]y = x^2 + 4x + 3[/tex]
Lets split the middle term.
[tex]=> y = x^2 + 3x + x + 3[/tex]
[tex]=> y = x(x+3) + 1(x + 3)[/tex]
[tex]=> y = (x+1)(x+3)[/tex]
∴ [tex]x = -3 , -1[/tex]
2) [tex]y = 8x^2 - 22x + 5[/tex]
Lets split the middle term.
[tex]=> y = 8x^2 - 20x - 2x + 5[/tex]
[tex]=> y = 4x(2x - 5) - 1(2x - 5)[/tex]
[tex]=> y = (2x - 5)(4x - 1)[/tex]
∴ [tex]x =\frac{1}{4} , \frac{5}{2}[/tex]
3) [tex]y = x^2 - 5x[/tex]
[tex]=> y = x(x - 5)[/tex]
∴ [tex]x = 0 , 5[/tex]
4) [tex]y = 12x^2 + 18x[/tex]
[tex]=> y = 6x(2x + 3)[/tex]
∴ [tex]x = \frac{-3}{2} , 0[/tex]
5) [tex]y = x^2 - 7x + 12[/tex]
Lets split the middle term.
[tex]=> y = x^2 -3x - 4x + 12[/tex]
[tex]=> y = x(x - 3) - 4(x - 3)[/tex]
[tex]=> y = (x - 3)(x - 4)[/tex]
∴ [tex]x = 3,4[/tex]
6) [tex]y = 3x^2 + 10x + 8[/tex]
Lets split the middle term.
[tex]=> y = 3x^2 + 6x + 4x + 8[/tex]
[tex]=> y = 3x(x + 2) + 4(x + 2)[/tex]
[tex]=> y = (x + 2)(3x + 4)[/tex]
∴ [tex]x = -2 , \frac{-4}{3}[/tex]
7) [tex]y = x^2 - 4x - 45[/tex]
Lets split the middle term.
[tex]=> y = x^2 - 9x + 5x - 45[/tex]
[tex]=> y = x(x - 9) + 5(x - 9)[/tex]
[tex]=> y = (x - 9)(x + 5)[/tex]
∴ [tex]x = -5 , 9[/tex]
Using the information that
5.2 x 67 = 348.4
write down the value of
c) 348.4 ÷ 52
Answer: 6.7
Step-by-step explanation:
We know that:
5.2*67 = 348.4
And we want to find the value of:
348.4/52 = x
So, let's return to the original equation.
5.2*67 = 348.4
Let's try to "construct" the quotient 348.4/52
The first step is to divide both sides by 5.2, then we get:
(5.2*67)/5.2 = 348.4/5.2
67 = 348.4/5.2
Now we have 5.2 in the denominator instead of 52, then we can divide both sides by 10 to get:
67/10 = ( 348.4/5.2)/10 = 348.4/(5.2*10) = 348.8/52
6.7 = 348.8/52
Then the solution to the quotient:
348.4/52 is 6.7
help help pls pls pls
Answer:
x = 13.6 in
Step-by-step explanation:
The arc x is calculated as
x = circumference of circle × fraction of circle
= 2πr × [tex]\frac{0.8}{2\pi }[/tex] ( cancel the 2π on numerator/ denominator )
= 17 × 0.8
= 13.6 in
math help-
Please help me answer the question below, I will give brainliest thing to whoever helps and gets it correct, thank you!
Answer:
y = 1/2 x + 5
Step-by-step explanation:
slope (m) = (y'-y) / (x'-x)
(y-6)/(x-2) = 1/2
y - 6 = 1/2 x - 1
y = 1/2 x + 5
what’s the value of e?
Answer:
e = 129
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
e is an exterior angle of the triangle , then
e = 60 + 69 = 129
how much is 48 from 12,5%
Answer:
6, but the question makes more sense when asking about 12.5% from 48
Step-by-step explanation:
to get a percentage of something, we just have to remember that [tex]X\% = \frac{X}{100}[/tex] and that we just need to multiply.
Yes, percentages are just numbers, but the percentage sign lets us signify the purpose of a number.
48 * 12.5% = 48 * 0.125 = 48 / 8 = 6
A rectangle of length 5 cm has area 35 cm. Its width in cm is
I need help very fast please !
Answer:
Step-by-step explanation:
I like answer 3.... the series will add to 1/3 eventually
Answer:
Contents of this laser is 0.744 um and the mass of the earth
Juan plans to mix blue paint and red paint to create purple paint. The ratio of the number of gallons of blue paint to the
number of gallons of red paint is 1 : 3.
Part A
Complete the table to show how many gallons of red paint Juan needs for the given number of gallons of blue paint.
Number of Gallons of Blue Paint
Number of Gallons of Red Paint
1
2
3
4
5
Answer:
3
Step-by-step explanation:
Show the steps of solving. a) 6x - 2y = 28
4x + 2y = 12
PLEASE HELPPPPP I’ll give brainlist!!!
Answer:
x = 4 and y = -2
Step-by-step explanation:
Let 6x - 2y = 28 be equation (i)
and 4x + 2y = 12 be equation (ii)
To solve the following equations, first add the equations:
6x - 2y + 4x + 2y = 28 + 12
6x + 4x + 2y - 2y = 28 + 12
10 x = 40
x = 4
Substituting in (ii)
4x + 2y = 12
4*4 + 2y = 12
2y = 12 - 16
2y = -4
y = -2
You are a dress maker and buy many of your fabrics overseas. You have been given a new design for a dress that each dress
takes 1.5 metres of fabric that you need to buy from a supplier. You are making 12 dresses. The fabric is sold for $22.50 per
yard. How many yards would you need to order and what would it cost you?
Answer:
Total yards = 19.685 yards
Total cost = $442.9125
Step-by-step explanation:
Fabrics per dress = 1.5 meters
Number of dresses = 12
Total fabrics needed = 1.5 meters × 12
= 18 meters
Convert 18 meters of fabrics into yards
18 meters = 19.685 yards
Cost of fabric per yard = $22.50
Total cost of fabrics in yards = 19.685 yards × $22.50
= $442.9125
Joshua bought five apples and four oranges. The total amount he paid was at most Php 200. If x represents the cost of each apple and y the cost of each orange, which of the following mathematical statements represents the given situation? A. 5x + 4y ≥ 200 C. 5x + 4y > 200 B. 5x + 4y ≤ 200 D. 5x + 4y < 200
Answer:
The answer is C
Step-by-step explanation:
Expand the following. In other words, remove the parentheses (brackets):
7x(3y - 4x + 2)
A 21xy - 28x2 + 14
B 21xy - 282 + 14
C21xy - 28x2 + 14x
D 21xy + 28xz + 14x
1. Which of the following choices is not a ray?
MN
CG
LP
EF
Answer:
LP
Step-by-step explanation:
I guess it would take to make sure
5 times what equals 22.5
Answer:
4.5
Step-by-step explanation:
22.5 divided by 5 = 4.5
Answer:
4.5
Step-by-step explanation:
22.5÷5 we can do the bus stop method or we can use a calculator
Choose the correct solution for the inequality:
-4x + 5 >-5
A: x < 2.5
B: X > 2.5
C: X <-2.5
D: X > -2.5
Answer:
A
Step-by-step explanation:
We have -4x > -10, so 4x < 10
Answer:
A. x < 2.5
Step-by-step explanation:
you subtract 5 on both sides
then you get -4x > -10.
then you divide -4 on both sides
and you get x<2.5
Which set of measures could represent the lengths of the sides of a right triangle?
a
b
c
d
(fog)(2) if f(x) = 3x + 1 and g(x) = x ^ 2 + 2
Answer:
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
A basketball game is 45 minutes long. 20 minutes have already been played. write an equation that represents how many minutes m are remaining. DO NOT SOLVE
Answer:
45-20 = 25
Step-by-step explanation:
-2x/3 + 11 = 14 please help me its not letting me put stuff I want
Answer:
x = -4 1/2
Step-by-step explanation:
-2x/3 + 11 = 14
subtract 11 from each side of the equation:
-2x/3 = 3
multiply both sides by 3:
-2x = 9
divide both sides by -2:
x = -4 1/2
what is the slope of the line graph below
A pitcher is 1/2 full of juice. A serving of juice is 1/8 of the pitcher. Enter the number of the servings of juice that are in the pitcher.
Answer:4
Step-by-step explanation:
1/2 is 4/8 and 4/1 is 4
PLEAZE HELP IM FAILING THIS CLASS 9) The volume of a box is represented by x' +11x² + 20x – 32. The width of the box is x – 1, and
the height is x + 8. Find the expression representing the length of the box.
Answer:
Step-by-step explanation:
Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³
the width is x-1 and the height is x+8
Find an expression for the length
Vol = LWH solve L
Vol / (WH) = L so
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
so it would help to factor the numerator
(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors
but I will plot the equation to find the three roots
(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving
L = (x + 4)
Graph 2.45 on the number line.
Find the product.
a.
5d - 79
b. 12 ab. 3cd
Answer:
35dg & 36abcd
Step-by-step explanation:
Multiply 7 times 5 then add the remaining terms for equation 1. For equation 2 multiply 12 by 3 for 36.
describe the vertical shift of Y=x^2-9
Answer:
ok so i dont know exactly what the answer is but this khan academy video will help just search.
describe the vertical shifted of y x 2 9 units
If $t$ is a real number, what is the maximum possible value of the expression $-t^2 + 8t -4$?
Answer:
NaN not one
Step-by-step explanation:
Please help me, this is driving me crazy
Answer:
oops
Step-by-step explanation:
Points A and B have the same x-coordinates but opposite y-coordinates.
How many units away are each of the points from the y-axis?
A.3
B.4
C.6
D.7
Okay I have reposted the question. Please help me ASAP
Answer:
angle 9
Step-by-step explanation: