Answer:
D) x =3 and x =7
Step-by-step explanation:
Step(i):-
Given function f(x) = 2x -2
g(x) = x² - 8x +19
Given that f(x) = g(x)
⇒ 2x -2 = x² - 8x +19
⇒ x² - 8x +19 -2x +2 =0
⇒ x² -10x +21 =0
Step(ii):-
The factors are x² -10x +21 =0
⇒ x² - 7x - 3x +21 =0
⇒ x( x-7) -3( x-7) =0
⇒ (x-3)(x-7) =0
x =3 and x =7
Answer:
d: x=3 and x=7
Step-by-step explanation:
95, if g> 0?
Which expression is equivalent to
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Answer:
equivalent expression of [tex]\sqrt[6]{g^5},\: if\:g>0[/tex] is [tex]\mathbf{g^{\frac{5}{6}}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to find equivalent expression of [tex]\sqrt[6]{g^5},\: if\:g>0[/tex]
The equivalent expression can be found using exponent rules.
We know that: [tex]\sqrt[6]{x} = x^{\frac{1}{6}}[/tex]
Using this and solving our given expression
[tex]\sqrt[6]{g^5},\: if\:g>0\\=(g^5)^{\frac{1}{6}[/tex]
Using exponent rule: [tex](a^m)^n=a^{m*n}[/tex]
[tex]=g^{\frac{5}{6}[/tex]
So, equivalent expression of [tex]\sqrt[6]{g^5},\: if\:g>0[/tex] is [tex]\mathbf{g^{\frac{5}{6}}[/tex]
Option D is correct option.
Can someone help me ?
Answer:
Step-by-step explanation:
Given
let the unknown angle be x then,
with reference angle x
perpendicular(p) = 3
base(b)= 9
now
tan x = p/b
tan x = 3 / 9
tan x = 1 / 3
x = tan ^-1( 1/3)
x = 18.43°
hope it will help u :)
A bank promises to pay 5.5% pa compound interest on
deposits of £2337 if saved for 3 years. How much will the
savings be worth at the end of the period mentioned? Write
your answer correct to 2 decimal places.
Answer:
Answer:
£407.20Step-by-step explanation:
Deposit = £2337Interest = 5.5% pa compound Time = 3 yearsSavings:
2337*((1 + 5.5/100)^3 - 1) = 2337*((1.055)^3 - 1) =407.20\begin{aligned} &3x-2y=-1 \\\\ &y=-x +3 \end{aligned} 3x−2y=−1 y=−x+3 Is (1,2)(1,2)left parenthesis, 1, comma, 2, right parenthesis a solution of the system? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
Yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
It's correct on Khan Academy
Helllllppppp pleaaaassssererreeeeeeeee
Answer:
The Answer is F
Step-by-step explanation:
first you do the first pair of parenthesis which out give you
24 - (3•2•2) Then you do the second pair of parenthesis, in which would give you 24 - 12 which is equal to 12.
-11x (5lx + 12)
Simplify using the distributive property: show all 2 steps!!!
Answer:
Step-by-step explanation:
-11x (5lx + 12)=(-11x)(51x)+(-11x)(12)
=-561x²-132x
Help me with this problem?
Jasmyn uses 42% of a gift card to buy groceries if she spent $67.20 on groceries, how much was on the gift card to begin with
Answer:
The card was worth $160.
Step-by-step explanation:
It is given that:
Percent of gift card used = 42%
Cost of groceries = $67.20
Let,
x be the total amount on gift card.
42% of x = 67.20
[tex]\frac{42}{100}x=67.20[/tex]
0.42x = 67.20
[tex]\frac{0.42x}{0.42}=\frac{67.20}{0.42}\\x=160[/tex]
Therefore,
The card was worth $160.
how do you write the ratio for 30 blue cars out of 42 cars?
what is the value of m?
__°
Answer:
62 degrees
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
i know how to subtract
a map of 5 inches represents 200 miles of actual distance suppose the distance between two cities on the map is 7 inches what is the actual distance between the two cities write the rule you used to find the actual distance
Answer:
280 miles and the rule is multiply by 40
Step-by-step explanation:
If 4 cooks can prepare a buffet in 15 mins how long would it take 6 cooks
Answer:
it will probably take the same amount of time since they are cooking the same amount and the food doesn't take any less to cook if there's more people but they could tidy and bring the food out faster but the time to cook the food will remain the same.
how do u this? please explain...
The store price of a t-shirt is $50. if the markup set by the store is 30%. Calculate the markup the price set by the t-shirt.
Answer:
I won't answer but I'll give a hint
Step-by-step explanation:
1. Markup = markup percent x cost/store price
2. Selling price = markup price + cost/store price
3. Discount amount = discount percent x cost/store price
4. Selling price = cost/store price – discount amount
6 Which expression below has a coefficient of 3?
A. 5x + 9
B. 2x-3
C. 28? + 3x – 6
gx+4
( IS IT A. B. C. or D.?)
option c is the correct cofficient of 3
Is the function linear or non linear?
Answer:
The function Has to Be Linear.
Step-by-step explanation:
The reason why the function has to be linear is because even though there is a slight curve the rest of the line is straight.
You need to look at the direction the line is pointing. Now say it was a line that had all kinds of wavey curves and loops that would be nonlinear.
I hope this helps you out. Let me know if linear is the correct answer, because if it isn't then that Assessment is crazy.
You have a Good day.
Signed, Coolnewman06
Round the number above to the place where the 3 is located. 5,684.937
Answer:
5684.940
there is your answer
HELP QUICKEST GETS BRAINLIEST PLZZ FOR NTH TERM
Answer:
The nth term of this sequence is T = n^2 + 2n + 1
the general term is Tn = n^2 + 2n + 1
137 divided by 3,562 pls help meeeee
Answer:
26
Step-by-step explanation:
Answer:
0.039 but u might wanna put the other way around which is 26
Basketball Arcade Game
You're buying the basketball arcade game for $4,500.00 with 5% tax. How much
will you pay all together? *
Answer:
$4,725
Step-by-step explanation:
multiply 4,500x0.07=225 add that to 4,500
Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many screws does Jonathan need?
Answer:
56 screws
Step-by-step explanation:
So, first we can find how many screws he needs.
So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)
then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws
The screws does Jonathan need is 56 screws.
It is required to find how many screws does Jonathan need.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Jonathan uses 8 screws for every 2 steps. If there are 14 steps.
So, first we can find how many screws he needs.
According to given question we have
So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)
then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws.
Therefore, the screws does Jonathan need is 56 screws.
Learn more details about arithmetic here:
https://brainly.com/question/11559160
#SPJ2
what is the simplified form of y^2 -y -12/ y^2 +8y+15
Answer:
(y - 4)/(y + 5)Step-by-step explanation:
Simplify by factoring both trinomials:
(y^2 - y - 12)/ (y^2 +8y + 15) = (y - 4)(y + 3) /(y + 5)(y + 3) =(y - 4)/(y + 5)A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?
Answer:
1.1 * 10 ^ -3
Step-by-step explanation:
Given the value of the thivkness of a dollar bill to be 0.0011metre
The standard scientific notation is expressed as A * 10^n
A is any value between 1 and 10 where n is any integer
0.0011 = 11/10000
0.0011 = 11 *1/1000
0.0011 = 11 * 0.0001
0.0011 = 1.1 * 0.001
0.011 = 1.1 * 10 ^ -3 (Note that the decimal point is shifted forward three times and the power is negative because the value is less than 1)
Answer:
1.1x10^-4
Step-by-step explanation:
It costs $100 to manufacture and ship to a vendor a large batch of souvenir hats, but each hat that is in the shipment brings in revenue of $5 to the manufacturer. Write a function rule for the amount of money the manufacturer earns from the shipment of x hats.
Answer:
5x - 100
Step-by-step explanation:
Answer:
P(x) = 5x - 100
Step-by-step explanation:
b. (2x - 4)(3x + 1)
Find the following products
Answer:
2 • (x - 2) • (3x + 1)
Step-by-step explanation:
What is the slope-intercept form of the equation of the line that passes through the points (9, 5) and (4, 1)?
Answer:
y=4/5x+-11/5
Step-by-step explanation:
might no be but im sleepy so
Answer:
y=4/5x−11/5
Step-by-step explanation:
Just took the test
18 erasers cost $0.90, how much would 3 erasers cost?
Answer:
$0.15
Step-by-step explanation:
0.90/18=0.05
0.05x 3=0.15
Answer:
$0.15
Step-by-step explanation:
0.90/18=0.05
0.05x 3=0.15
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A: 1,2,9
Set B: 0,4,6,5
Answer:
Yes it is showing a function
Step-by-step explanation:
help plz asap ????????????
Answer:
6
hope it is ❤❤❤❤
THANK YOU.
Answer:
Step-by-step explanation:
the answer is 18
Someone plz help me!
Answer:
x=6
Step-by-step explanation:
Because they are vertical angles, they are equal to one another, so the equation you have to set up would Be 5x=30 and you divide both sides by 5 and yopu get x=6 :)
How do I Factor 42p⁴+9p³q²-18p²q²
Answer:
42p^4 + 9p^3q^2 -18p^2q^2 = p^2 (42p^2 + 9pq^2 - 18q^2)
Step-by-step explanation:
To answer this, we simply look for that term that is common to all
Looking at the given expression, we can see that the term we are looking for is p^2
Thus, we have that;
42p^4 + 9p^3q^2 -18p^2q^2 = p^2 (42p^2 + 9pq^2 - 18q^2)
When we multiply the term outside the bracket with each of the terms inside, we get back the original term