Answer:
x^2-10x+21
Step-by-step explanation:
(x-3)(x-7)=
x^2-7x-3x-21=
x^2+10x+21
pls help !!!!!!!!!!!
The equation of two circles are known, circle A’s equation is (x-3)^2+(y+4)^2=9 and circle B’s equation is (x+4)^2+(y+12)^2=8.
What is the radius of circle A and the radius of circle B.
Answer:
Step-by-step explanation:
The circles are written in standard form. The standard form squares the radius on the right hand side.
Circle A
radius = sqrt(9)
radius = 3
Circle B
radius = sqrt(8)
radius = sqrt(2 * 2 * 2)
radius = 2 sqrt(2)
At the start of the week, an account had a balance of –$12.67. So far during the week, $20 has been deposited into the account and $13.47 has been spent from the account. At the end of the week, the balance needs to be at least $25 in the account. What is the minimum amount of money, in dollars, that still needs to be deposited into the account before the end of the week?
Which function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis?
Answer:
g(x)=-8(3^x)
Step-by-step explanation:
Given: f(x)=3^x
Multiply by 8: f(x)=8(3^x)
Negate function: g(x)=-8(3^x)
The function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis will be g(x)=-8(3ˣ).
What is an exponential function?It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x.where a is a constant and a>1
It is given that, the function represents the exponential function f(x) = 3x.
We have to find the function after a vertical stretch by a factor of 8 and a reflection across the x-axis.
We have to do geometric transformation, It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
Thus, the function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis will be g(x)=-8(3ˣ).
Learn more about the exponential function here:
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Find the surface area of the rectangular prism.
3 mi
4 mi
1 mi
The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.
length = 3 + width
perimeter = 34
34 ÷ 2 = 17
width = x
3 +x + x = 17
3 + 2x = 17
2x = 14
x = 7
width = 7
Joel cut the longest piece of fencing in order to make a right triangle. If it takes him 30 seconds to install each foot of fencing, how many total minutes will it take him to install the fence?
there is not enough info given to tell how long it would take
pentagon has five sides as shown in the figure. The perimeter can be expressed as 5+5+2x+x+2x
Answer:
5+5=10+2x+x+2x=10+5x
Please helpppppp!!!!!!! Bots will be taken down .
step 1
so so s ososoosososososososososososososoosososososzosoosossoosososo
Step-by-step explanation:
The most important thing to remember is: SOH CAH TOA
sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = opposite/adjacent
So in #1:
We have the angle and hypotenuse and need to solve for the side opposite of the angle. This smells like a sine question.
sin(42)=x/25
this means that x=25sin(42). Plug that into the calculator and get: 16.73.
(Make sure you are in degrees mode)
For #2:
We are given the angle, the opposite side, and have to solve for the adjacent side. Looks like we need the tangent.
tan(75)=12/x
This means that x=12/tan(75). Calculator says: 3.22
For #3:
We have the angle, adjacent, and have to solve for the hypotenuse. This would be a cosine.
cos(36)=19/x
Solve for x: x=19/cos(36). Calculator says: 23.49
For #4:
We have the angle, adjacent side, and need the opposite side. This is another tangent problem.
tan(53)= x/7
Solving for x: x=7tan(53). Calculator says: 9.29
How can you determine whether two circles are congruent?
Answer:
If the diameter or radius of one circle is the same as another circle they are congruent.
if you can answer this ill give you brainlist
Answer:
option 1
Step-by-step explanation:
the pattern will continue like this:
50 - 25
answer 1 is the correct answer!
Answer:The first question is the true statement <3
Step-by-step explanation
<3
Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal to the
nearest hundredth, and as a percent to the nearest whole number.
You choose a movie CD at random from a case containing 2 comedy CDs, 9 science fiction CDs, and
3 adventure CDs. The CD is not a comedy.
The probability of not picking a comedy from the case as a fraction is
The probability of not picking a comedy from the case as a decimal is
The probability of not picking a comedy from the case as a percent is
%.
Answer:
Fraction- 12/14 (6/7)
Decimal- 0.85 or 0.86 (depending if you want to round up)
Percent- 85%
Step-by-step explanation:
Add all of the CD's that arent comedy then put the total number of CD's below. And then take 12/14 and apply it as a decimal and percent and also simplify it if needed.
Write an expression with two terms that is equivalent to the expression shown.
4(2x + 11
Answer:
habla no espanyol
Step-by-step explanation:
2
6
+
2
Area
HELP PLEASE
Answer:
X= 40
Step-by-step explanation:
if you compare the shapes, the X square is half of 6. so i added 6 and 3, then 2 and 3, then multiplied it, and the answer is 40.
Maria is saving money to buy a bike. She has $42 and is going to save an additional $ 7 each week. The bike costs $133. In how many
weeks will she have enough money to buy the bike?
Answer:
Maria will have enough money to buy the bike in 13 weeks.
Step-by-step explanation:
w = weeks
42 + 7w = 133
take away 42 frim each side
7w = 91
divide each side by 7
w = 13
simplify 2 exponent 9 plz hurry on test
please help meee!!!lol
Answer:
X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!
Step-by-step explanation:
please help me with this question
Answer:
-3x^2+16x+64
Step-by-step explanation:
First, you need to find the area of both areas (the total area and the area of the unshaded part). Let's find the total area.
(x+8)(x+8)=x^2+16x+64
The total area is x^2+16x+64
(2x)(2x)=4x^2
The area of the unshaded part is 4x^2
Now we have to subtract to find the area of the shaded part.
x^2+16x+64-4x^2
-3x^2+16x+64
That is the answer
Hope this helped!! :D
Amanda has already run 14 miles on her own, and she expects to run 5 miles during each track practice. How many tracks would it take for Amanda to run 29 miles? heeeeeeeelllllppppp mmmmmeeeee!
Answer:
It will take Amanda 3 track practices to run 29 miles.
Step-by-step explanation:
29-14=15
15/3=5
or
14+5x=29
subtract 14 from both sides
5x=15
divide both sides by 3
x=3
Hope this helps. Brainliest will be appreciated.
A company sells cereal and the dimension of the box is listed below. How many cubic inches of cereal can the box below hold? (show your work or explain in words) *
Answer:
Hello! answer: 186
7 3/4 × 2 × 12 = 186
Hope that helps!
Find the lateral area. Round to the nearest thousandths.
Answer:
62.832
Step-by-step explanation:
The population P of bacteria in a culture after t minutes is given by the equation p=p0 (1.14)^t where P0 is the initail population. If the number of the bacteria starts at 400, how long will it take for he population to incfrease to 2000
Answer:
The time taken is 4.79 minutes.
Step-by-step explanation:
[tex]P = Po(1.4)^{t}[/tex]
initial Population, Po = 400
Final population, P = 2000
Let the time is t.
[tex]2000 = 400(1.4)^{t} \\5 = (1.4)^t\\log 5 = t log 1.4\\0.6989 = 0.146 t \\t = 4.79 minutes[/tex]
What is the distance between tow points(-1,4)(3,2)
Answer:
2√5
Step-by-step explanation:
Distance = √(x1-x2)² + (y1-y2)²
Distance = √(-1-3)² + (4-2)²
Distance = 2√5
Answer:
[tex]\displaystyle d = 2\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-1, 4)
Point (3, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3--1)^2+(2-4)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(4)^2+(-2)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{20}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{5}[/tex]a = 15 ; b =____________ ; c = 17
Answer:
16
Step-by-step explanation:
b=16
Following the pattern, we can assume that each term adds by 1. So 15+1 = 16.
A triangle has a base of 2 m and a height of 3 m. Find the area of the triangle. Use the formula: A= 0.5 x Base x Height.
Answer:
3
Step-by-step explanation:
2x3=6/2=3
which statements are true about the graph of function f?
f(x)= log x
Answer:
I believe the correct answer here is C!
Step-by-step explanation:
The option (A) is correct.
What is graphs of logarithmic function?"The logarithmic function y = log b x is the inverse function of the exponential function y = b x. We can now proceed to graphing logarithmic functions by looking at the relationship between exponential and logarithmic functions".
For the given situation,
[tex]f(x)=logx[/tex]
Plot the graph of [tex]f(x)=logx[/tex] .
From the graph shown below, the region of the graph lies in the domain of { x|0 < x < ∞ } and approaches as 0 as x decreases.
Hence we can conclude that the option (A) is correct.
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There were 780 fish in the lake. After a year, the population increases by 23% How many fish are in the lake? Round tot he nearest whole number.
Answer:
There are 959 fish in the lake.
Step-by-step explanation:
According to the information provided, to be able to find the number of fish in the lake, you have to calculate 23% of the amount of fish in the lake and add that result to the amount of fish in the lake:
780*23%=179
780+179=959
According to this, the answer is that there are 959 fish in the lake.
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
D. All of the above
Step-by-step explanation:
All of those would reach higher than 300 when you go 4 to the right.
Helpppppppp plssssss
Answer:
16
Step-by-step explanation:
one side is four the other is four 4x4 is 16
Answer:
8
Step-by-step explanation:
Since its 1/2 cm per cube, each side is 4 cubes, 4x1/2 = 2. 2x2x2 = 8
How fast is Spiderman going (in miles/hour)? *
Answer:
Prolly faster than the flash
Step-by-step explanation:
:)