Answer:
(a) [tex]x=-2,3[/tex] (b) [tex]x=\frac{3}{4} ,-\frac{11}{4}[/tex]
Step-by-step explanation:
[tex]y=x^2-x-6\\y=2x^2+x-6[/tex]
For the first equation, this can easily be factored
[tex]y=(x+2)(x-3)[/tex]
Now, set each of their factors equal to zero and solve
[tex]x+2=0\\x=-2\\\\x-3=0\\x=3[/tex]
Therefore, for a, the roots of [tex]y=x^2-x-6[/tex] are [tex]x=-2, 3[/tex]
For the second equation, it is able to be factored, however, its normally easier to use the quadratic equation to solve polynomials with an a term greater than 1
[tex]y=2x^2+x-6[/tex]
[tex]x_{1} =-b+\frac{\sqrt{b^2-4ac} }{2a}=-1+\frac{\sqrt{1-4(2)(-6)} }{4}=-1+\frac{\sqrt{1-(-48)} }{4}=-1+\frac{\sqrt{49} }{4} =-1+\frac{7}{4}=\frac{3}{4}[/tex]
[tex]x_{2}=-b-\frac{\sqrt{b^2-4ac}}{2a}=-1-\frac{\sqrt{1-4(2)(-6)} }{4} =-1-\frac{\sqrt{1-(-48)} }{4}=-1-\frac{\sqrt{49} }{4}=-1-\frac{7}{4} =-\frac{11}{4}[/tex]
Hope this helps! :)
What is the expression after applying the distributive property?
−0.4(−2+(−9))
Enter your answer by filling in the boxes.
Answer:
4.4
Step-by-step explanation:
Rate as BRAINLIEST
−0.4(−2+(−9))
=.8+(3.6)
= 4.4
Answer: i took the test on k12
2.11 Quiz: Distributive Property Versus Factoring
Step-by-step explanation:
9/12/2022
PLEASE HELP i got the wrong answers does anyone know how to solve math this way?! please answer 1 and 2 with explanation, using the X method
Find the area of this figur.
380 cm is your answer
Formula: 1/2b•h
Answer and Step-by-step explanation:
The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], where b is the base and h is the height.
We are given both values, so we can plug it into the formula.
[tex]\frac{1}{2} (38)(20)[/tex]
= (10)(38)
= 380 [tex]cm^2[/tex] <-- This is the final answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
what kind of sequence
1/3, 2/9, 3/64, 4,81
The explicit formula for a geometric sequence is of the form a n = a 1 r-1, where r is the common ratio. A geometric sequence can be defined recursively by the formulas a 1 = c, a n+1 = ra n, where c is a constant and r is the common ratio.
Elli left home at 8:30 and returned at 12:15. How long was she away from home
Answer:
3 hours 45 minutes
Step-by-step explanation:
-8cot square A + 8 cosec square A
Answer:
8
Step-by-step explanation:
Using the identity
cosec²A = 1 + cot²A
- 8cot²A + 8cosec²A
= - 8cot²A + 8(1 + cot²A)
= - 8cot²A + 8 + 8cot²A
= 8
−4+2(8−5h)+18h
simplify and factor expression no links
Answer:
8h+12
Step-by-step explanation:
-4 + 16 -10h + 18h
=
12 + 8h
Someone plz help me :(
Answer:
the answer is B. 12 Miles
Step-by-step explanation:
hope this helps
find the circumference of the circle rounded to the nearest 10th used 3.14 for pi
will give brainliest
Solve for r to find the missing terms in each Geometric sequence.
5x², _,5x^6, 5x^8,_
Answer:
r=x^2
Therefore the missing term is 5x^4
Step-by-step explanation:
To get to the next term multiply by r.
r=x^2
Therefore, 5x^2 multiplied by x^2 gives 5x^4
r=x^2
Therefore the missing term is 5x^4
Step-by-step explanation:
To get to the next term multiply by r.
r=x^2
Therefore, 5x^2 multiplied by x^2 gives 5x^4
Simplify, please ;-;
Answer:
2x+3-1
Step-by-step explanation:
hope this helps :)
Solve by factoring
3x^2-x-2=0
2x^2-x=3
Colin invests £11180 into his bank account. He receives 5.4% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.
Answer:
£ 14,802.32 total investment value.
Step-by-step explanation:
11180 x 0.054^1 = 603.72 interest yr1
603.72 x 6 = 3622.32 interest yr 6
3622.32 + 11180 = 14802.32 = (interest + Initial) = total
given g(x) =3x-3 solve for x when g(x) = 6
Answer:
x=2g+1
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Given g(x) = 3x - 3 and g(x) = 6, then equating gives
3x - 3 = 6 ( add 3 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
the school that amanda goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 adult ticket and 6 child ticket for a total of $91. The school took in $224 on the second day by selling 8 adult tickets and 12 child tickets . What is the price each of the one adult and one child ticket
Answer:
hold up lemma check
Step-by-step explanation:
The expression 3(x+4)-(2x+7) is equivalent to
Answer:
x=5
Step-by-step explanation:
3(x+4)-(2x+7)
use the disturbutive property
3x+12-(2x+7)
distrubute the - sign on the bracket number
3x+12-2x-7
combine the like terms
3x-2x= 1x which is just x
12-7=5
x=5
Answer:
x+5
Step-by-step explanation:
Distribute the 3 and distribute the minus sign (-1).
3(x + 4) - (2x + 7) = 3x + 12 - 2x - 7 = x + 5
Evaluate. Write your answer as a decimal
−3.64⋅|−5.3|−1.53
Answer:
0.13
Step-by-step explanation:
5.3-3.64-1.53
5.3 Become Positive
how meny times can 2 go into 9
Answer:
4 with 1 left over
Step-by-step explanation:
Find the change below as a percentage. Then choose whether it is a percent of increase or a percent of decrease.
Change from 22 grams to 33 grams
This a percent of increase
this as percent of decrease
Skates cost $99.99 there's a 20% discount and the sales tax is 6.75% what's the total cost
Answer:
$85.39
Step-by-step explanation:
20% off of $99.99 is $79.99
6.75% of $79.99 is about $5.399325, rounding that to $5.40
$79.99+$5.40 is $85.39
Can someone please help me I’m stuck?
Answer:
x = 25
Step-by-step explanation:
by alternate exterior angles theorem
[tex]127 = 5x + 2 \\ 127 - 2 = 5x \\ 125 = 5x \\ \frac{125}{5} = \frac{5x}{5} \\ x = 25[/tex]
check
[tex]5(25) + 2 = 127 \\ 125 + 2 = 127 \\ 127 = 127[/tex]
the number of cakes baked varies directly with the number of hours the caterers work. What is the ratio of cakes baked to hours worked.
Answer:
Man i need someone to answer this too
Step-by-step explanation:
Write the equation of the line in fully simplified slope intercept form
Answer:
y = -x - 8
Step-by-step explanation:
I don't know what it means by "fully symplified", but this is how I would answer.
Hope this helps, and if not, I'm sorry!
Answer:
[tex]y=-x-8[/tex]
Step-by-step explanation:
Slope intercept form is in the general form
[tex]y=mx+b[/tex] such that [tex]m[/tex] is the slope of the line, and that [tex]b[/tex] is the y-intercept of that line.
The equation for slope can be denoted as any of those below
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] Where the y and x terms are from two ordered pairs
[tex]m=\frac{rise}{run}[/tex], such that rise is the vertical change in a line, and run the run is the horizontal change
Work!
In this case, since we are given nothing but a line, we should use [tex]m=\frac{rise}{run}[/tex]
Since the graph goes down by 1 for every 1 distance to the right, the change in rise of y (-1) divided by the run of x (1) means that [tex]m=-1[/tex]
We now have [tex]y=-x+b[/tex]
Since b is the y-intercept, according to the graph [tex]b=-8[/tex]
This leaves you with the final answer of [tex]y=-x-8[/tex]
Hope this helps! :)
24 + 32 = _ (3 +4) Grid in the number that makes the equation below true.
Hey there!
24 + 32 = __?__ (3 + 4)
• SOLVING FOR THE LEFT SIDE OF THE EQUATION
24 + 32
= 56
• FIND THE GCF (Greatest Common Factor) OF THE NUMBERS TO SEE WHAT POSSIBLY GOES IN THE BLANK (also known as your result) OR THE EQUATION ON THE RIGHT SIDE
° 24: 1, 2, 3, 4, 6, 8, 12, & 24
° 32: 1, 2, 4, 8, 16, & 32
° LIKE TERMS: 1,2, 4, & 8
° GREATEST NUMBER: 8
° GCF: 8
• So, the number that goes in the blank is: 8
• TESTING TO SEE IS EQUIVALENT TO THE LEFT SIDE (THE EQUATION ON THE RIGHT SIDE OF THE PROBLEM)
8(3 + 4)
= 8(3) + 8(4)
= 24 + 32
= 56
56 = 56, this statement is true because both numbers are equivalent to each other
Now that we have that information out of the way, we have your answer
Answer: 8
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Name two angles that are complementary to
Use a calculator to solve for θ in the given interval. Sin θ= -0.9419, for pi < θ < 3pi/2
Answer:
5.06
Step-by-step explanation:
sin θ = - 0.9419
θ = sin inverse - 0.9419
= sin^-1 ( - 0.9419 )
= - 1.2282
= ( 2 ( π ) ) - 1.2282
θ = 5.0549
θ = 5.06 ( approximately )
Answer:D
Step-by-step explanation:
edge
Jenna rents 4 identical storage lockers. Each locker is shaped like a cube. The four
lockers are arranged in a row, as shown.
s = length (ft) of one side of a locker
S
Which expression represents the total
volume of all four lockers?
-
What is the total volume of all four lockers
if one side of a locker is 2 feet long?
The volume of the prism if one side of a locker is 2 feet long is 32ft³
The formula for calculating the volume of a rectangular prism is expressed according to the formula
[tex]V = lwh[/tex]
l is the length
w is the width
h is the height
From the diagram;
length = s + s + s + s = 4s
width = s
height = s
Substitute the given parameters into the formula to have:
[tex]V = 4s \times s \times s\\V =4 s^3 units^3[/tex]
b) If the length of one side of a locker is 2 feet long, the volume will be expressed as:
[tex]v = 4(s)^3\\v=4(2)^3\\v=4(8)\\v=32ft^3[/tex]
Hence the volume of the prism if one side of a locker is 2 feet long is 32ft³
Learn more here: https://brainly.com/question/21214343
Answer:
32^3
Step-by-step explanation:
I got an ahundred
what is the GCF o 3x2
Answer:
6
Step-by-step explanation:
gcf of 3 x 2 is 6. 3 x 2 = 6 gcf of 6 is 6
Helpp me pleaseee !!
The table shows the predicted and actual amount of snow for a local city.
Snowfall (inches)
Predicted 6.75
Actual 10.25
What is the percent error for the amount of snowfall? Round the percent to the nearest tenth if necessary.
Using it's concept, it is found that the percent error for the amount of snowfall was of 51.85%.
The percent error of an amount is the absolute value of the difference between the actual amount and the expected amount, multiplied by 100% and divided by the expected amount.
In this problem:
Expected amount: 6.75 inches.Actual amount: 10.25 inches.Then, the percent error is:
[tex]P = \frac{|10.25 - 6.75|}{6.75} \times 100\% = 51.85\%[/tex]
The percent error was of 51.85%.
A similar problem is given at https://brainly.com/question/16903296