Answer:
8
Step-by-step explanation:
subtract 9from 17 I think
Step-by-step explanation:
solving for y is y=-9x+17
solbing for x is -y/9 + 17/9
Which expression is equivalent to (–3y – x) – (5y – 8x)?
Answer:
-8y +7x
Step-by-step explanation:
(–3y – x) – (5y – 8x)Distribute
-3y -x -5y +8x
Combine like terms
-3y-5y -x+8x
-8y +7x
Which ordered pairs are solutions to the inequality y−4x≤−6? Select each correct answer. (−1, −9) (0, −5) (3, 5) (−2, −14) (1, 3)
Answer:
(3,5) (-2,-14)
Step-by-step explanation:
Just plug in values (x,y) in inequality
the picture is the qestion
Answer:
12/18 bcz simplyfing 12/18 will give us 2/3
6/9 (divided by 2)
2/3 (divided by 3)
Step-by-step explanation:
Which point is an x-intercept of the quadratic function f(x)=(x-8)(x+9)? 1. (0,8) 2.(0,-8) 3.(9,0) 4.(-9,0) If yk how to do these, pls help with my other questions :( <3
Answer:
x intercept is when y = 0, so when y is 0, x should be -9 or 8, so 4. is the only that satisfies it, therefore (-9,0)
Step-by-step explanation:
Follow me at "btracta" on insta and we can talk
What's your instagram then?
Yes 80 followers following 10 is me
What is the area of the composite figure? ___ units^2
Answer:
34 square units
Step-by-step explanation:
The figure can be considered to be a trapezoid with a rectangle removed.
The area of the trapezoid is ...
A = (1/2)(b1 +b2)h
A = (1/2)(10 +6)(5) = 40
The area of the rectangle is ...
A = LW
A = (3)(2) = 6
Then the area of the shaded portion of the figure is ...
shaded area = trapezoid area - rectangle area
= 40 - 6 = 34 . . . square units
A rectangular paperboard measuring 20in long and 16in wide has a semicircle cut out of it, as shown below.Find the area of the paperboard that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer: 219.52 inch^2
Step-by-step explanation:
Given the dimensions of rectangular papaerboard:
Length = 20inches
Width = 16inches
Area of rectangle = Length × width
Area of rectangle = 20 × 16 = 320 in^2
Area of a circle = pi*r^2
Therefore, area of semicircle = (pi*r^2) / 2
Diameter of circle = width of rectangle = 16 inches
Radius = diameter / 2 = 16 /2 = 8inches
Therefore, area of semicircle = (pi*8^2) / 2
= (3.14 × 64) / 2
= 200.96 / 2
= 100.48 inch^2
Therefore, area of paperboard left :
Area of rectangle - area of semicircle
320 - 100.48
= 219.52 inch^2
A negative number raised to an exponent is positive. Which of the following is not true?
A. The number could be even
B. The number could be odd
C. The exponent could be even
D. The exponent could be odd
Answer:
the number could be odd.
Answer:
the number could be odd
Step-by-step explanation:
express x^2-8x+20 in the form (x-a)^2+a where a is an integer
Answer:
(x-4)²+4
Step-by-step explanation:
Answer:
[tex](x-4)^2+4[/tex]
Step-by-step explanation:
[tex]x^2 - 8x + 20\\**********************************\\\frac{8}{2} =( 4 )^2 = 16 \\\\20 - 16 = 4\\**********************************\\x^2 - 8x + 16 + 4\\(x-4)^2+4[/tex]
.Nisha bought a backpack that was on sale at 35% off for $63. How much was the original price of the backpack?
Answer:
$180
Step-by-step explanation:
100%=x
35%=$63
63 x 100=6300/35=$180
Answer:
96.92
Step-by-step explanation:
If the backpack was 35% off you will still pay 100 -35 or 65%
Let x be the original price
x * 65% = 63
Change to decimal form
x * .65 = 63
Divide each side by .64
x*.65/.65 = 63/.65
x =96.92
which of the following are binomials? check all that apply
Answer: A, D, F
Step-by-step explanation: Binomials are the sums of two terms (the sum two monomials). Therefore those with two terms being added are considered binomials.
A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width from the pool on all sides. If the patio area equals the area of the pool, how wide is the distance from the pool edge to the patio edge? If x represents the width of the patio, then which of the following equations could be used to solve the word problem?
Answer:
Let
x-------> the width of the patio
we understand that
region of the pool=40*60-----> 2400 ft²
vicinity of the patio=[(40+2x)*(60+2x)]-2400
place of the patio=2400 ft²
so
[(40+2x)*(60+2x)]-2400=2400
2400+80x+120x+4x²-4800=0
4x²+200x-2400=0------> divide by 4 both sides----> x²+50x-600=0
therefore
the answer is
x²+50x-600=0
Which expression is equivalent to 3\dfrac78 - 6\dfrac143 8 7 −6 4 1 3, start fraction, 7, divided by, 8, end fraction, minus, 6, start fraction, 1, divided by, 4, end fraction? Choose 1 answer: Choose 1 answer: (Choice A) A 3\dfrac78+\left(-6\dfrac14\right)3 8 7 +(−6 4 1 )3, start fraction, 7, divided by, 8, end fraction, plus, left parenthesis, minus, 6, start fraction, 1, divided by, 4, end fraction, right parenthesis (Choice B) B -6\dfrac14+\left(-3\dfrac78\right)−6 4 1 +(−3 8 7 )minus, 6, start fraction, 1, divided by, 4, end fraction, plus, left parenthesis, minus, 3, start fraction, 7, divided by, 8, end fraction, right parenthesis (Choice C) C 6\dfrac14-\left(3\dfrac78\right)6 4 1 −(3 8 7 )6, start fraction, 1, divided by, 4, end fraction, minus, left parenthesis, 3, start fraction, 7, divided by, 8, end fraction, right parenthesis (Choice D) D 3\dfrac78+\left(6\dfrac14\right)3 8 7 +(6 4 1 )
Answer:
[tex](A) 3\dfrac78+\left(-6\dfrac14\right)[/tex]
Step-by-step explanation:
Given the expression:[tex]3\dfrac78 - 6\dfrac14[/tex]
The given options are:
[tex](A)3\dfrac78+\left(-6\dfrac14\right)=3\dfrac78-6\dfrac14\\\\(B)-6\dfrac14+\left(-3\dfrac78\right)=-6\dfrac14-3\dfrac78\\\\(C)6\dfrac14-\left(3\dfrac78\right)=6\dfrac14-3\dfrac78\\\\(D)3\dfrac78+\left(6\dfrac14\right)=3\dfrac78+6\dfrac14[/tex]
We can see therefore that Option A is equivalent to the given expression.
Answer:
-25/-33
Step-by-step explanation:
-5/3x5/-11=
A "necklace" is a circular string with several beads on it. It is allowed to rotate a necklace but not to turn it over. How many different necklaces can be made using 13 different beads? help plz i will give brainlyist to right awnser :3
Answer:
We have 13 different beads to use in our necklace, and the thing that will make a necklace different to others, is the position of the beads.
And because we can not turn the necklaces over, the mirrored necklaces are different (the positions of the beads are mirrored)
For the first bead, we have 13 options, for the second, 12 options, and so on
the total number of combinations is equal to the product of the options for each selection, then we have:
C = 13*12*11*10*9*8*7*6*5*4*3*2*1 combinations:
C = 6,227,020,800.
Now, we are allowed to rotate the necklace, this means that a combination.
a b c d e f g h i j k l m (each letter is equivalent to one of the different beads)
is the same as other ordered as
m a b c d e f g h i j k l
And for each combination, we have 13 rotations, then the actual number of combinations is:
C/13 = 6,227,020,800/13 = 479,001,600
Using arrangements, it is found that 6,227,020,800 different necklaces can be made using 13 different beads.
The beads can be exchanged among the positions to form the necklace, hence, the arrangements formula is used.
This formula gives the number of possible arrangements of n elements, and is defined by:
[tex]A_n = n![/tex]
In this problem, the necklaces are formed by 13 beads, hence [tex]n = 13[/tex] and:
[tex]A_{13} = 13! = 6227020800[/tex]
6,227,020,800 different necklaces can be made using 13 different beads.
A similar problem is given at https://brainly.com/question/24648661
Help please!!
Solve the equation -5m = -20.
m = 1/4
m = -1/4
m = -4
m = 4
Answer:
m=4
Step-by-step explanation:
-5m=-20
m= - 20/-5
m=4
Answer:
M=4
Step-by-step explanation:
This question was on my online school assignment. I can go back on my assignments and review and I had got it right.
Two friends decide to run everyday for exercise Steve runs 2.5 miles per day. Sam runs 6.5 miles per day gho many days will it take for the to reach 450 miles combined?
Hey there! I'm happy to help!
We see that Steve runs 2.5 miles per day and Sam runs 6.5 miles per day. If you add these together, we see that they run 9 miles every day.
We now need to see how many of these 9 mile days fit into this 450 miles. Let's divide 450 by 9 and we will see how many days it will take for them to reach 450 miles combined.
450÷9=50
Therefore, it will take Steve and Sam 50 days to reach 450 miles combined!
Have a wonderful day! :D
Suppose that the numbers of residents in zip codes are normally distributed with an unknown mean and standard deviation. The numbers of residents of 50 randomly sampled zip codes are used to estimate the mean of the population. What t-score should be used to find the 99% confidence interval for the population mean?
Answer:
Step-by-step explanation:
The required t score would be determined from the t distribution table. In order to use the t distribution, we would determine the degree of freedom, df for the sample.
df = n - 1 = 50 - 1 = 49
Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01
α/2 = 0.01/2 = 0.005
the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995
Looking at the t distribution table,
t score = 2.678
The law f(t) = -t2 + 6t + 15 represents the number of kilometers of congestion, as a function of time, registered in a city. With that, determine the maximum number of congestion in that city and the maximum time to reach this value.
Answer:
Maximum Congestion: 24
Maximum Time to reach Congestion: 3
Step-by-step explanation:
Easiest and fastest way is to graph the equation and analyze the graph for it's maximum vertex.
Example A
Find the area of the blue sector. Leave your answer in terms of TT.
Answer: [tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
Do you really need it? If so, reply, if not, mark brainliest.
The following function represents an arithmetic sequence.
f(1)=2
f(n+1)=f(n)+4
What is f(10)?
Enter your answer as a number, like this: 42
Answer:
f(10)=34
Step-by-step explanation:
This is an arithmetic sequence of common difference "d = 4" (the number added to a term in order to get the next term), and first term 2,
Then we use the formula to find the nth term of an arithmetic sequence with is:
[tex]f(n)=f(1) +\,(n-1)\,d[/tex]
In our case this formula for the term number 10 becomes:
[tex]f(n)=f(1) +\,(n-1)\,d\\f(10)=f(1)+(10-1)\,4\\f(10=2+9*4\\f(10)=2+32\\f(10)=34[/tex]
Answer: Just took it!!!
f(10)=38
Step-by-step explanation:
f(1)=2
f(n+1)=f(n)+4
f(2)=6
f(3)=10
f(4)=14
f(5)=18
f(6)=22
f(7)=26
f(8)=30
f(9)=34
f(10)=38
You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounded monthly.
Answer:
The account balance after 24 months will be $23,092.70
Step-by-step explanation:
Given data
P= $20,000
r= 7.77%= 0.077
t= 2 years
A= ?
n= 24
The compound interest formula is
[tex]A= P(1+t)^t[/tex]
Inserting our values to solve for A we have
[tex]A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70[/tex]
Help me pweasee
Find the value of the function f(x) = x2 + 9x + 14, when x = -2.
Answer:
-8
Step-by-step explanation:
(-2)2+9(-2)+14
-4+-18+14
-22+14
=-8
Hope this helps
Answer:
0
Step-by-step explanation:
f(x) = x^2 + 9x + 14, when x = -2.
f(x)=(x+7)(x+2)
f(x)=(-2+7)(-2+2)=0
Please help me.. I can't figure this out
Answer:
The answer is D
Step-by-step explanation:
You have to multiply each amount given by 200 and then add the two
200 x $10 = $2,000
200 x $15 = $3,000
$2,000 + $3,000= $5,000
NEED HELP WITH PART B
gina has borrowed 100 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to
download, y, for a certain number of weeks, X: .picture above
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and
initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relations
Answer:
y = -20x + 100
Step-by-step explanation:
As per your requirement For Part B, the solution is
The equation in slope-intercept form to model the relations is below:-
To reach 2 points on the graph the line passes through
lets use p1(0, 100), p2(1, 80)
now we will compute the slope:
[tex]m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]
[tex]m = \frac{(80 - 100)}{(1 - 0)}[/tex]
= -20
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 100 = -20(x - 0)
y = -20x + 100
Answer:
Part A:
initial value = 100 (total amount of songs to download)
rate of change = -20 songs/week (100-80 and so on)
Part B:
ANSWER: y = -20x + 100
y = mx + b, where m is the slope and b is the y-intercept (or initial value).
Which of the following are true statements about 30 6090 triangle
Answer:
30-60-90 triangles have one short side, one long side, and a hypotenuse.
The ratio between the sides (from short to hypotenuse to long) is 1 : 2 : sqrt(3).
Hope this helps!
Which table represents a linear function
Answer:
What are the other tables/answer choices?
Step-by-step explanation:
which number produces an irrational number when added to 1/2?
A. 0.373737...
B. 3.14159265...
C. √16
D. -4/7
The number 3.14159265 produces an irrational number when added to 1/2.
What is the sum of an irrational number and a rational number?
The sum of any rational number and any irrational number will be always an irrational number.
What is irrational number?An irrational number is a type of real number which cannot be represented as a simple fraction.
What is rational number?A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.
According to the given question
We have a rational number 1/2.
Since, 0.373737373.... is a rational number because it is recurring and its behavior it known that 37 is repeating.
And we know that when any rational number is added with a rational number it with number we will get always a rational number.
⇒ 0.3737373737... + [tex]\frac{1}{2}[/tex] = rational number.
3.14159265... is an irrational number because its behavior is not known and it is not terminating.
So, when we add 1/2 to 3.14159265.. we get a irrational number.
√16 = 4 is a rational number. And it can be written as [tex]\frac{4}{1}[/tex].
So, [tex]\frac{4}{1} + \frac{1}{2} = \frac{9}{2}[/tex] which is a rational number.
-4/7 is a rational number. And when we add 1/2 to -4/7 we get a rational number.
i.e. [tex]\frac{-4}{7} + \frac{1}{2} = \frac{-1}{14}[/tex] which is rational number.
Hence, the number 3.14159265 produces an irrational number when added to 1/2.
Learn more about rational and irrational number here:
https://brainly.com/question/17005818
#SPJ2
Solve 3x^2-4x-1=0 using quadratic form.
Answer:
Here is your answer!!!
Step-by-step explanation:
a=3,b=-4,c=-1
Discriminate (D)= b^2-4ac
D= (-4)^2-4(3)(-1)
D=16-(12)
D=16-12=4
x=-b±√b^2-4ac/2a
x=-(-4)±√4/2(3)
x=4±2/6
x=4+2/6=1
x=4-2/6=1/3
x=1,1/3
precalculus help! i'm having some trouble with my summer assignment. help would be very appreciated :)))
6.
[tex]y^2\sqrt[8]{8}[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}[/tex]
Since there are eight y's in two groups we can take them out which turns into
[tex]y^2\sqrt[8]{8}[/tex]
:)
3.
Problem 3:
We are given the following complex number and I'm assuming we want to simplify it:
[tex]\dfrac{5+i}{6+i}[/tex]
Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):
[tex]=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}[/tex]
[tex]=\dfrac{31+i}{37}[/tex]
Simplifying gives us:
[tex]=\dfrac{31}{37}+\dfrac{1}{37}i[/tex]
Problem 6:
You seem to have done this problem correctly
[tex]\sqrt[8]{8y^{16}}[/tex]
Expanding gives us:
[tex]=\sqrt[8]{y^{16}}\times\sqrt[8]{8}[/tex]
[tex]=y^2\sqrt[8]{8}[/tex]
This can't be simplified further as the 8th root of 8 gives us an irrational number
Let me know if you need any clarifications or extra help, thanks!
92.6 % of 103.93 km Give your answer rounded to 2 DP.
Answer:
[tex]Result = 96.24\ km[/tex]
Step-by-step explanation:
Given
92.6 % of 103.93 km
Required
Solve (to 2 decimal places)
To solve this, we simply multiply both 92.6% and 103.93 km together;
[tex]Result = 92.6\% * 103.93\ km[/tex]
Convert percentage to fraction
[tex]Result = \frac{92.6}{100} * 103.93\ km[/tex]
Combine to form a single fraction
[tex]Result = \frac{92.6 * 103.93\ km}{100}[/tex]
[tex]Result = \frac{9623.918\ km}{100}[/tex]
[tex]Result = 96.23918\ km[/tex]
[tex]Result = 96.24\ km[/tex] (Approximated to 2 decimal places)
please please help meeee
Answer:
16
Step-by-step explanation:
10/a = 15/24
Cross multiply.
15 × a = 10 × 24
15a = 240
Divide both sides with 15.
a = 240/15
a = 16
Answer:
a = 16
Step-by-step explanation:
=> [tex]\frac{10}{a} = \frac{15}{24}[/tex]
Cross Multiplying
=> 10 * 24 = a * 15
=> 15a = 240
Dividing both sides by 15
=> a = 16