you can't factorize it in rational numbers
If f(x) = 1 - x and g(x) = 1-X, which is the rule of function (f-g)(x)?
Answer:
0
Step-by-step explanation:
f(x) = 1 - x
g(x) = 1-X
f(x) - g(x) = 1-x - (1-x)
Distribute
=1-x-1 +x
Combine like terms
0
the line ab has midpoint (-2, 4) a has coordinates (3, -2) find the coordinates of b
Answer:
b = (- 7, 10 )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
let the coordinates of b = (x, y ) then use the formula and equate to the coordinates of the midpoint, that is
[tex]\frac{1}{2}[/tex] (x + 3) = - 2 ( multiply both sides by 2 )
x + 3 = - 4 ( subtract 3 from both sides )
x = - 7
[tex]\frac{1}{2}[/tex] (y - 2) = 4 ( multiply both sides by 2 )
y - 2 = 8 ( add 2 to both sides )
y = 10
Thus the coordinates of b are (- 7, 10 )
*Brainliest* What is the domain of the function shown in thr table?
Answer:
Domain is { 3,5,7,9}
Step-by-step explanation:
The domain is the input values
Domain is { 3,5,7,9}
Answer:
Domain - {3, 5, 7, 9} (B)
Step-by-step explanation:
Domain - imput values, X values
Given the coordinates for the function below which of the following are coordinates for its inverse
a triangle has it side as r is 53 degree which is hypotenuse t opposite which is 14 s is adjacent find r and s
Answer:
sin(53°) = t/r
= 14/r
r = 14/sin(53°)
r = 17.53
tan(53°) = t/s
= 14/s
s = 14/tan(53°)
s = 10.55
Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1. Which explains the error that Lila made? Lila made in error in Step 1 by reversing the ordered pairs. Lila made an error in Step 2 by not using the slope formula. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair. Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.
Answer:
The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
Hope this helps!
Stay safe at home :)
(those of you doing edge hang in there!)
The y intercept of the problem is equal to 25+14.1/30*x.
What is total cost?The total cost is the sum of the fixed cost and the variable cost to make a product.
How to find y-intercept?x is showing no. of bruchers
y is showing total cost.
Total cost for 35 bruchers=41.45
Total cost for 65 bruchers=55.55
The points are (35,41.45), (65,55.55)
The y intercept can be calculated as :
y-41.45=(55.55-41.45/65-35)*(x-35)
30y-14.1x=750
y=25+14.1/30*30
Hence the value of y intercept is 25+14.1/30*30.
Learn more about intercept at https://brainly.com/question/26233
#SPJ2
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
B
Step-by-step explanation:
Recall that [tex](g \circ f)(x)=g(f(x))[/tex]. In other words, we need to find [tex]f(x)[/tex] first and then put that value into [tex]g(x)[/tex].
We need to find [tex](g \circ f)(4) =g(f(4))[/tex]
[tex]f(x)=4x-2\\[/tex]
[tex]f(4)=4(4)-2=14[/tex]
[tex](g \circ f)(4) =g(f(4))=g(14)[/tex]
[tex]g(x)=-6x^2-8x-8[/tex]
[tex]g(14)=-6(14)^2-8(14)-8[/tex]
[tex]g(14) = (g \circ f) (4) =-1296[/tex]
A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year
Answer:
Sale-person's total salary for the year is $ 82,050
Step-by-step explanation:
Base salary of salesperson = $37,000
commission percentage of salesperson = 17% of sales
sales made in a year = $265,000
commission for salesperson in $ = 17% of sales
commission for salesperson in $ = 17 / 100 * $265,000 = $45,050
Thus, total commission for the given year salesperson is $45,050
Total salary for year = Base salary + total commission for the given year
Total salary for year = $37,000 + $45,050 = $ 82,050 (Answer)
Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces
Answer:1 ounce
Step-by-step explanation:
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
Answer:
x = -2
Step-by-step explanation:
The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.
1. Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for
5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then
find Martha's profit?
Answer:
Numerical expression to represent this situation : 41 = 20 + P
Martha's profit is $21
Step-by-step explanation:
Total cost price for earrings for Martha = total money invested in material to make earrings = $20
No. of ear rings made = 10
No. of earrings sold for $5= 7
Total Price for these 7 earrings= $5*7 = $35
No. of earrings sold for $2= 3
Total Price for these 3 earrings= $2*3 = $6
Total price for all of the ten earrings = $35+$6 = $41
We know that
selling price = cost price + profit
Total price for all of the ten earrings = Total cost price for 10 earrings + total profit made on those 10 earrings
let total profit be P
41 = 20 + P
Thus,
P = 41-20 = 21
numerical expression to represent this situation : 41 = 20 + P
Thus, Martha's profit is $21
At the beach, 11% of people have white towels and 53% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer here
SUBMIT
ASAP help plz
Answer:
36 percent.
Step-by-step explanation:
We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.
With this information, we can find the remaining percentage of people that have red towels.
Recall that the total percentage is always 100 percent.
lets make r for the percentage of people that have red towels.
You can solve it by changing it to fraction, decimal, or just keep it at percent.
I will show you all of the possible ways.
Percent:
11 percent plus 53 percent plus r =100 percent
combine the like terms, or add 11 plus 53 to simplify the equation.
You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.
100-64 is 36 percent.
r=36 percent of people who have red towels.
With fractions.
Write it as 11/100 plus 53/100 plus r/100= 100/100.
Combine the fractions.
64/100 plus r/100=100/100.
Subtract both sides by 64/100.
You are left with r=36/100, 9/25, or 36 percent.
With decimals.
11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.
53 percent is 0.53.
r is r.
100 percent is 1.
0.11 plus 0.53 plus r=100
Combine or add 0.53 and 0.11. That is 0.64.
Subtract both sides by 0.64.
You get r to be 0.36 or 36 percent.
I hope this helps, and I hope you have a good day!
Answer:
36%[tex]percentage \: of \: people \: who\: have \: white \\ towels = 11 \\ percentage \: of \: people \: who \: have \: blue \: \\ towels = 53 \\ percentage \: of \: people \: who \: have \: \\ white \: and \: blue \: towel \\ = 11 + 53 \\ = 64 \\ percentage \: of \: people \: who \: have \ \: red \\ towels = 100 - 64 \\ \: \: \: \: \: \: \: \: \: \: \: = 36[/tex]
hope this helps ..
Good luck on your assignment
The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?
The complete question is as follows.
The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?
(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]
(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]
(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]
(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]
(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h
Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];
Step-by-step explanation: To determine [tex]b_1[/tex]:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = ([tex]b_1 + b_2[/tex])h
[tex]\frac{2a}{h} = b_1 + b_2[/tex]
[tex]\frac{2a}{h} - b_2 = b_1[/tex]
To determine h:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h
To determine [tex]b_2[/tex]
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]
[tex]\frac{2a}{h} - b_1 = b_2[/tex]
Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.
Let p and q be real numbers such that the roots of
x^2 + px + q = 0 are real. Prove that the roots of
x^2 + px + q + (x + a)(2x + p) = 0 are real, for any real number a.
Answer:
Step-by-step explanation:
Known fact: all roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] are real if and only if
discriminant [tex]D = b^2 - 4ac \geq 0.[/tex]
We know that all roots of [tex]x^2 + px + q = 0[/tex] are real. We can derive from this condition that
[tex]p^2 - 4q \geq 0[/tex]. (<----------- HERE)
Let's do some simplification of second equation:
[tex]x^2 + px +q + (x + a)(2x + p) = 3x^2 + x(2p + 2a) + ap + q.[/tex]
So we want according to Known fact prove that discriminant of equation
[tex]3x^2 + x(2p + 2a) + ap + q = 0[/tex] is greater or equal zero.
[tex]D = (2p + 2a)^2 - 4\cdot 3 (ap + q) = 4(p^2 + a^2 + 2ap - 3ap - 3q) = 4(a^2 - ap + p^2 - 3q)[/tex].
To prove that [tex]D \geq 0[/tex], we can view D as polynomial of a:
[tex]D(a) = 4a^2 - a(4p) + 4(p^2 - 3q)[/tex].
Known fact #2: if quadratic polynomial have positive greatest coefficient and it's discriminant [tex]\leq 0[/tex] then polynomial always positive.
So remains to prove that
[tex](4p)^2 - 4\cdot 4\cdot 4(p^2 - 3q) \leq 0[/tex]
lets divide both side by [tex]4^2[/tex]:
[tex]p^2 - 4(p^2 - 3q) \leq 0[/tex]
[tex]-3p^2 + 12q \leq 0[/tex]
divide by 3
[tex]-p^2 + 4q \leq 0[/tex]
transfer terms to the other side:
[tex]0 \leq p^2 - 4q[/tex]
But we know that from "(<----------- HERE)"!!!
So Q.E.D.
What single decimal multiplier would you use to increase by 4% followed by a 3% increase
Answer:
1.0712
Step-by-step explanation:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
hope this will help you, have a nice day!
Which expresion has a value o 15 when n = 7
Answer:
19 - 28/n
n= 7
19 - 28/7
19-4
= 15
Step-by-step explanation:
Ravi lost 80 dollars from his pocket.
Write a signed number to represent this change.
Answer:
x - 80
Step-by-step explanation:
Ravi had x dollars in all.
x - 80
What is the following product? square root of 10 times square root of 10
Answer: 10
Step-by-step explanation:
√10 x √10
When a square root of an expression is multiplied by itself, the result is that expression...
10
type < = to mean <
or > = to mean .
Jake began the day with 6 dollars in his wallet. Then he withdrew some
money from the bank and added that to what was already in his wallet. After
doing that, he had 31 dollars in his wallet.
Answer:
He added $25 to the contents of his wallet.
Step-by-step explanation:
Here's what's happening, symbolically:
$6 + m = $31, or m = $25. Jake added $25 (represented by m) to the contents of his wallet.
the area of a square field is 50625 meter square find its perimeter
Answer:
900
Step-by-step explanation:
A=S^2
50265=SxS
S=√50265
S=225
P=Sx4
P=225x4
P=900
Use the table to identify the values of pand q that should be used to factor x2
- 3x - 10 as (x + p)(x + 9).
Answer:
A
p = -5 and q = 2 or p = 2 and q = -5
Step-by-step explanation:
Technically, you don't need the table to help you out here. If you solely just factor out x²-3x-10, you would get (x-5)(x+2). So one variable would always have to be -5 and the other variable would always have to be 2.
The answers to this question
Answer:
See explanation
Step-by-step explanation:
The discriminant is [tex]{b^{2}-4ac }[/tex]
1. 9² - 4(1)(20) = 81 - 80 = 1 so there are 2 solutions
2. (-9)² - 4(3)(-13) = 81 + 156 = 237, so there are 2 solutions
3. The first answer is correct
4. The third answer is correct
please help Multiply -4w(w+2)
Answer:
-4w² - 8w
Step-by-step explanation:
All you need to do is distribute -4w. That means to multiply -4w to w and 2 separately. When you multiply -4w to w, you will get -4w² and when you multiply -4w to 2, you will get -8w.
Consider the reduction of the rectangle. A larger rectangle has a length of 18 inches and width of 8 inches. A smaller rectangle has a length of x inches and width of 3 inches. Write a proportion and then solve to find the missing measure of the reduced rectangle. What two ratios can be used in the proportion? What is the value of the missing measure?
Answer:
18/8 = x/3
x = 6.75 inches (length)
Step-by-step explanation:
Hi, to answer this question we have to write 2 ratios using the information given:
A larger rectangle has a length of 18 inches and width of 8 inches.
Inches /width = 18/8
So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :
x/3
Solving for x:
18/8 = x/3
18/8 (3) =x
6.75 in= x
Feel free to ask for more if needed or if you did not understand something.
Kevin's bank offered him a 4.5% interest rate for his mortgage. If he purchases 3 points, what will be his new rate?
Answer:
The new rate would be 3.75%
Step-by-step explanation:
Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.
A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)
New interest rate=4.5%-0.75%=3.75%
Answer: mine was: 4.125%
Step-by-step explanation:
PLZ HELP! WILL MAKE A BRAINLIST
Which types of dilation are the given scale factors?
Answer:
see explanation
Step-by-step explanation:
For a given scale factor k
If k > 1 then expansion
If k < - 1 then expansion in the opposite direction
If 0 < k < 1 or - 1 < k < 0 then contraction
k = - 2 ← expansion in opposite direction
k = 1.5 ← expansion
k = [tex]\frac{1}{4}[/tex] ← contraction
k = - [tex]\frac{6}{7}[/tex] ← contraction
What value of x is in the solution set of 3(x – 4) > 5x + 2?
Answer:
-10
Step-by-step explanation:
expand: 3x-12>5x+2
subtract 3x and subtract 2 to both sides
-14>2x
which is just
2x<-14
so x<-7.
the only value is -10. :D
Answer:
-10
Step-by-step explanation:
3(x – 4) > 5x + 2
Distribute
3x -12 > 5x+2
Subtract 3x from each side
3x-12-3x > 5x-3x+2
-12 > 2x+2
Subtract 2 from each side
-12 -2 > 2x+2-2
-14 > 2x
Divide by 2
-14/2 > 2x/2
-7 > x
X must be less than -7
-10 is less than -7
Looking at twentieth century mathematicians 1900 to 1999, what is the surname of the Iranian-born mathematician who won the highest honour in mathematics, the Fields Medal?
Answer: Maryam Mirzakhani
Step-by-step explanation:
Can someone please help me I’m stuck
Answer:
6
Step-by-step explanation:
Since the two triangles are similar, their ratios of sides must be constant. Therefore:
[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]
Hope this helps!
I need this answered quickly. What is the value of d to the nearest hundredth?
Answer:
6.48
Step-by-step explanation:
you have to use the sin rule
Answer:
6.48
Step-by-step explanation: