Answer:
5 or -8
Step-by-step explanation:
[tex](3 \times x) + x {}^{2} = 40[/tex]
[tex]3x + {x}^{2} = 40[/tex]
[tex] {x}^{2} + 3x - 40 = 0[/tex]
using factorization method
[tex]( {x}^{2} + 8x) ( - 5x - 40) = 0[/tex]
[tex]x(x + 8) - 5(x + 8) = 0[/tex]
[tex](x - 5)(x + 8) = 0[/tex]
[tex]x - 5 = 0[/tex]
or
[tex]x + 8 = 0[/tex]
[tex]x = 5[/tex]
or
[tex]x = - 8[/tex]
Solve for x not y please I am stuck
Answer:
x=2, x=1
Step-by-step explanation:
let's solve :
[tex] {4}^{2x} - 20(4 {}^{x} ) + 64 = 0[/tex]let's take
[tex]2 {}^{2x} = y[/tex]
now,
[tex]{(2{}^{2x} )} {}^{2} - 20(2) {}^{2x} + 64 = 0[/tex][tex]y {}^{2} - 20y + 64 = 0[/tex][tex]y {}^{2} - 16y - 4y + 64 = 0[/tex][tex]y(y - 16) - 4( - 16) = 0[/tex][tex](y - 16) (y - 4) = 0[/tex][tex]y = 16 \: \: or \: \: y = 4[/tex]if y = 16, then :
[tex]2 {}^{2x} = 16[/tex][tex] {2}^{2x} = 2 {}^{4} [/tex][tex]2x = 4[/tex][tex]x = 2[/tex]and if y = 4 :
[tex] {2}^{2x} = 4[/tex][tex] {2}^{2x} = {2}^{2} [/tex][tex]2x = 2[/tex][tex]x = 1[/texhence, value of x = 1 or x = 2
Is (2,3), a solution to the system of equation x2 + y2 = 13 and 2x - y=4?
True
False
A store is advertising that it offers a 14% discount had on everything purchased at the store. When Aiza (آئزہ) had paid $670.80 for her purchase, what was the originally marked price for her item (or items) in dollars?
A. 780
B. 1284.50
C. 701.60
D. 1089.00
Answer:
780
Step-by-step explanation:
5/11 as a ratio 4 decimal places
What is the number for pi?
Answer:
the answer is 3.1415926535
Step-by-step explanation: I hope some of this helps I didn't know how many numbers you needed
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 or just 3.14 (talk about memory )
Step-by-step explanation:
Can't remember how we did it in 7th grade now these 9th graders are doing it and I don't remember.
Any ways to help?
What is the value of f(x) = 5x +1 at f(-4) ?
The problem 72➗12 will have a quotient greater than the problem 7.2➗12.true or false HELLLLLP QUICK
11. Liza earned some money delivering newspaper .She bought a
battery for $1.95, and gave her mother $30. She bought a ring
for $7.20, and then spent half of the remaining money on a radio.
If Liza has $38.50 left, how much money did she earn delivering
newspapers?
anonh the solution set.
Answer: $116.15
Step-by-step explanation:
We first would start with the last thing, the $38.50 Lisa has left! From reading the word problem, we can tell that she had another $38.50 she spent on a radio.She spends $7.20 (ring) + $1.95 (battery) before this and gives her mom $30.
All of these are subtractions from the initial amount:
x - 1.95 - 30.00 - 7.20 - 38.50 = 38.50
x - 77.65 = 38.50
x = $116.15
Please give brainliest! It would really help!
Pleaseee Help me plzz
Answer:
70
Step-by-step explanation:
I need help with factoring trinomals.
Please explain how you got the answer.
9514 1404 393
Answer:
(x +6)(3x +4)
Step-by-step explanation:
The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.
72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9
Sums of these factor pairs are 73, 38, 27, 22, 18, 17.
Now, you can rewrite the expression splitting the middle term into two parts:
3x² +4x +18x +24
x(3x +4) +6(3x +4) . . . . . . factor by grouping
(x +6)(3x +4) . . . . . . . . . . your factored form
_____
Additional comment
I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.
One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:
(3x +4)(3x +18)/3 = (3x +4)(x +6).
In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.
[tex]\\ \sf\Rrightarrow 3x^2+22x+24[/tex]
Use midterm splitation[tex]\\ \sf\Rrightarrow 3x^2+18x+4x+24[/tex]
Take 3x and 4 common[tex]\\ \sf\Rrightarrow 3x(x+6)+4(x+6)[/tex]
Simplify[tex]\\ \sf\Rrightarrow (3x+4)(x+6)[/tex]
Done!
A 9-inch candle burns down in 12 hours. After how many hours will it have burned
3 3/8 inches?
Answer:
4.5
Step-by-step explanation:
Use a proportion.
3 3/8 = 3.375
9 inch is to 12 hours as 3.75 inches is to x hours.
9/12 = 3.375/x
3/4 = 3.375/x
3x = 4 * 3.375
x = 4 * 1.125
x = 4.5
Answer: 4.5 hours
Using rate if a 9-inch candle burns down in 12 hours, the amount of hours it have burned 3 ³/₈ inches is 4 ¹/₂ h
What is a rate?Rate is the amount per unit time of a substance
Since a 9-inch candle burns down in 12 hours. To determine after how many hours will it have burned 3 ³/₈ inches, we proceed as follows.
.
First, we calculate the rate at which it burns which is given as r = Length of candle/time
Since
Length of candle = 9 in andtime = 12 hoursSubstituting the values of the variables into the equation, we have that
r = Length of candle/time
r = 9 in/12 h
r = 3/4 in/h
To determine how many hours it would have burned 3 ³/₈ in, we have that
rate, r = Length/time
time = Length/rate
Since
Length = 3 ³/₈ in = 27/8 in andrate = 3/4 in/hSubstituting the values of the variables into the equation, we have that
time = Length/rate
= 27 in/8 ÷ 3/4 in/h
= 27/8 in × 4/3 h/in
= 9/2 h
= 4 ¹/₂ h
So, it will have burned for 4 ¹/₂ h
Learn more about rate here:
https://brainly.com/question/29051699
#SPJ3
. Give the scale factor of figure A to figure B.
3.
10
6
4
18
B
A
7.2
15
11 م
Answer:
SF = 2/5
Step-by-step explanation:
The side on figure A which has the 10 is between angles with one mark and 2
The side on figure B which has the 4 is between angles with one mark and 2
The scale factor is what we multiply 10 by to get 4
10 * SF = 4
Divide each side by 10
10 * SF /10= 4/1-
SF = 4/10
SF = 2/5
The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches, find the dimensions of the rectangle
Answer:
length = 12
width = 9
Step-by-step explanation:
Let w= width of rectangle
length = w + 3
2w + 2(w + 3) = 42
2w + 2w + 6 = 42
4w = 36
w = 9 ( width of rectangle)
width = 9 inches
length = 9 + 3 = 12 inches
What is the slope of the line in the graph? slope =
Is the slope 1/1 or 1
Or do I put both?
Answer:
The slope of this graph is 1. Well, 1/1 is equal to 1 so I think you should just put 1 as your answer.
Step-by-step explanation:
pls help i'll give brainliest
Answer:m^3/2
Step-by-step explanation: You add the exponents when you multiply.
Question today susan has 12.6 m ribbon to make flowers if she has to make 4 flowers,how ribbon would use to make 4 flowers
Step-by-step explanation:
3.15m or 3 3/20m
She has a total of 12.6m of ribbbon.
She has to make 4 flowers and each has ribbon.
You take 12.6÷4
Answer:
she would use 3.15 meters on each flower because when you divide 12.6 meters by 4 it equals 3.15 meters.
Write a number that has a 6 in the thousandths place, a 5 in the hundredths place, and a 0 in the tenths place. Then write a number less than your number and greater than your number
Answer:
i am not sure bi it may be 2
Does anybody know this ???
Answer: E
Step-by-step explanation: An integer is a whole number ( that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and -3. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.
HELP MEEEE !! I’m stuck
Answer:
10
Step-by-step explanation:
because it is what it is i just did the math
A airplane flies 3 hours. The distance is 1200 miles. What is the speed?
Answer:
400 mph
Step-by-step explanation:
1200/3 = 400 miles per hour
A flat fee of $15.25 plus $3.45 per pound of supplies ordered is added to the bill to cover the shipping cost.The teacher budgets $49.75 for the shipping cost.Which list of values best represents the entire domain for shipping, f(x), as a function of the number of whole pounds of school supplies the teacher can order, x?
The domain of a function is the set of possible input value, the function can take.
The domain is [0,10]
The given parameters are:
[tex]Flat\ Fee = 15.25[/tex]
[tex]Rate = 3.45[/tex]
So, the function f(x) is:
[tex]f(x) = Flat\ Fee + Rate \times x[/tex]
[tex]f(x) = 15.25 + 3.45 \times x[/tex]
[tex]f(x) = 15.25 + 3.45x[/tex]
Because x represents the number of orders, the value of x cannot be negative.
The teacher budgets $49.75.
This means that: f(x) = 49.75
So, we have:
[tex]49.75 = 15.25 + 3.45x[/tex]
Collect like terms
[tex]49.75 - 15.25 = 3.45x[/tex]
[tex]34.5 = 3.45x[/tex]
Divide both sides by 3.45
[tex]10 = x[/tex]
Rewrite as
[tex]x = 10[/tex]
Hence, the domain is [0,10]
Read more about domains at:
https://brainly.com/question/21853810
Help me please. You get brownies.
plz help me with this
Answer:
12
Step-by-step explanation:
could someone please help answer this, thank you, please no spam, will give brainliest, (homework help)!
Answer:
The answer would be W < - 18
A large orange weighs 11/16 pound. A small orange weighs 2/8 pound. How much more does the large orange weigh?
Answer:
7/16 pounds
Step-by-step explanation:
Change the small orange to have the same denominator by multiplying by a magic 1 or [tex]\frac{2}{2}[/tex].
1. [tex]\frac{2}{8}[/tex]·[tex]\frac{2}{2}[/tex][tex]=\frac{4}{16}[/tex]
2. Subtract Fractions
[tex]\frac{11}{16}[/tex]-[tex]\frac{4}{16}[/tex]=[tex]\frac{7}{16}[/tex]
Solve:
e + 13.2 = 289.47
Answer:
Evaluate.
15.91828182 = 289.47
Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?
A. 16 years old
B. 15 years old
C. 17 years old
D. 20 years old
Answer:
C.17 years old
Step-by-step explanation:
consecutive means that they come after each other
17+16+15=48
what the value of 6(2b-4} when b=5
Answer:
[tex]6(2b - 4) \\ b = 5 \\ 6(2 \times 5 - 4) \\ = 6(10 - 4) \\ = 6(6) \\ = 36 \\ thank \: you[/tex]
Answer:
6(2b-4) when b = 5 is 36
Step-by-step explanation:
[tex]6(2b-4)\\6(2(5)-4)\\6(10-4)\\6(6)\\36\\[/tex]
tom asks at an average speed of 80km per hour for 3 hours and 45 minutes. work out how many kilometers Tim drives.
Answer: 300km
Step-by-step explanation:
The question is how long will he go in 3 hours and 45 minutes.
3 hours and 45 minutes is equal to 3.75 house 45/60=3/4 75/100=3/4
So multiply 3.75 by 80 for 300
Hope this helps!
Please mark Brainliest!