Answer:it is false
Step-by-step explanation:
Since we are talking about inverse of a function. we would be dealing with reversal. An inverse function is function that reverses another function. Getting the inverse will require reversing the numerator and denominator. This means that the numerator becomes the denominator and the denominator becomes the numerator.
The function given is
y = 7x + 5
Let us solve to see whether the inverse is is y = x+5/7 is true or false
The numerator is 7x + 5 and the denominator is 1
The inverse becomes 1 / (7x + 5 )
So it is false
Specify the domain for the function ƒ(x) = 2x4 + 4x3 + 2x2
Answer:
In interval notation it is ( -∞, ∞).
Step-by-step explanation:
All values of x can be input to this function.
Find the inverse 2x+6/5
ANSWER
[tex]\frac{5x - 6}{2}[/tex]
EXPLANATION
The given function is
[tex] \frac{2x + 6}{5} [/tex]
Let
[tex]y = \frac{2x + 6}{5} [/tex]
Interchange x and y.
[tex]x= \frac{2y + 6}{5} [/tex]
Solve for y.
5x=2y+6
5x-6=2y
Divide both sides by 2
[tex] \frac{5x - 6}{2} = y[/tex]
Hence the given function has inverse
[tex]\frac{5x - 6}{2}[/tex]
What is the midpoint of side AB in the triangle below?
A. ( -2 1/2, -1/2)
B. (1/2, 2 1/2)
C. (2 1/2, 1/2)
D. (-1/2, -2 1/2)
B
Step-by-step explanation:
half of 11 is 5.5 so counting that from either of the points leads to .5
Then continuing from there, half of 9 is 4.5 so moving the point up would get 2.5
Answer:
B
Step-by-step explanation:
Please please help me out!!
Answer:
And step-by-step explanation
Answer:
x = 46°
Step-by-step explanation:
The angle 69° and z form a straight angle and are supplementary, thus
z = 180° - 69° = 111°
The sum of the 3 angles in a triangle = 180°, hence
x = 180° - (111 + 23)° = 180° - 134° = 46°
Find a whole number that, when added to the data set below, does not change the interquartile range. 80, 84, 86, 88, 88, 92, 94, 94
Answer:
An extra 95
Step-by-step explanation:
80 84 86 88 88 92 94 94
IQR = 9
80 84 86 88 88 92 94 94 94
IQR = 9
(25pts) Due soon! Help!
Answer:
true
True
False
False
Step-by-step explanation:
a. The problem tells me that for every 3 parts of red paint, I have 8 parts of yellow paint. To find the ratio of 1 part of yellow paint I can write the following statement
For 8 parts of yellow paint ------------ 3 parts of red paint
1 part of yellow paint ------------- x
So [tex]x=\frac{1 part of yellow paint * 3 parts of red paint }{8 parts of yellow paint}[/tex]
[tex]x= \frac{3}{8} parts of red paint[/tex]
b, I have the following relationship
3 parts of red paint ----- 8 parts of yellow paint
If I multiply the entire expression by 3 I have left
3 * 3 parts of red paint -------- 8 * 3 parts of yellow paint
So
9 parts of red paint ---------- 24 parts of yellow paint
c.I have the same relationship
3 parts of red paint ----- 8 parts of yellow paint
If I multiply the entire expression by 1/2 I have left
3/2 parts of red paint -------- 8/2 parts of yellow paint
So
3/2 parts of red paint ---------- 4 parts of yellow paint
as 3/2 is different from 10, then the approach is false
d. observing the relation of part a,
For 3 parts of red paint ------------ 8 parts of yellow paint
1 part of red paint ------------- x
So [tex]x=\frac{1 part of red paint * 8 parts of yellow paint }{3 parts of red paint}[/tex]
[tex]x= \frac{8}{3} parts of yellow paint[/tex] that is different than 3/8 parts of yellow paint, then the approach is false
Answer:
true
True
False
False
Step-by-step explanation:
Given: p || q, and r || s.
Prove: ∠1 and ∠14 are supplementary angles.
What is the next step in the proof? Choose the most logical approach.
A.
Statement: ∠6 ≅ ∠14
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
B.
Statement: ∠6 ≅ ∠7
Reason: Vertical Angles Theorem
C.
Statement: ∠6 and ∠5 are supplementary.
Reason: Linear Pair Theorem
D.
Statement: m∠6 + m∠8 = 180°
Reason: angle addition
Answer:
A.
Statement: ∠6 ≅ ∠14
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
Step-by-step explanation:
In the figure attached, a plot of the problem is shown.
Given p || q and r is a transversal which cut p and q, then ∠1 ≅ ∠5 and ∠2 ≅ ∠6.
Given r || s and q is a transversal which cut r and s, then ∠6 ≅ ∠14 and ∠8 ≅ ∠16.
From the picture we see that ∠1 and ∠2 are supplementary, that is, their addition is equal to 180º. ∠2 ≅ ∠6 and ∠6 ≅ ∠14, then ∠2 ≅ ∠14, in consequence ∠1 and ∠14 are supplementary.
To prove that ∠1 and ∠14 are supplementary angles, given that p || q, and r || s, the next logical step in the proof is statement: ∠6 ≅ ∠14, with the reason being: for parallel lines cut by a transversal, corresponding angles are congruent.
Considering the given scenario: p is parallel to q and r is parallel to s, and the task is to prove that ∠1 and ∠14 are supplementary angles, the most logical step in this proof would be Option A.
Statement: ∠6 ≅ ∠14
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
This statement and reasoning holds true because when you have two parallel lines that are cut by a transversal, it produces corresponding angles that are congruent or equal in measure.
Hence, in the given scenario, since the lines p, q and r, s are parallel and are being cut by a transversal, it implies that ∠6 and ∠14 are equal in measure.
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Jay J runs of a 1/3 mile in 4 minutes. A. If Jay J continues at the same speed, how long will it take her to run one mile?
[tex]\bf \begin{array}{ccll} miles&minutes\\ \cline{1-2} \frac{1}{3}&4\\\\ 1&x \end{array}\implies \cfrac{~~\frac{1}{3}~~}{1}=\cfrac{4}{x}\implies \cfrac{1}{3}=\cfrac{4}{x}\implies x=12[/tex]
The number of members of an online community increases each month. The function M(t) = N(1 + r)^t represents the number of members at month t, where N is the initial number of members and r is the rate of increase. Select the correct statement.
A. The value of M is a product of N and a factor that does not depend on N.
B. N increases each month.
C. The function is linear.
D. The initial value is (1 + r).
Answer:
A.
Step-by-step explanation:
On the right side of the equation we are multiplying the initial amount by the growth rate that is raised to a number of years. M is equal to this product. The growth rate does not depend upon the initial amount.
The company president sets a goal that the percentage of working phones must increase from 30% to atleast 80% by the end of the day
a. 3/10+x/x>=8/10
b. 3/10+1/x>=8/10
c. 3x/10x>=8/10
d. 3x+x/10+x>=8/10
Answer:
D) 3+x/10+x > 8/10!
Answer:
the second part is a
Step-by-step explanation:
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $45,920. The variable costs will be $11.25 per book. The publisher will sell the finished product to bookstores at a price of $21.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
The publisher should produce and sell approximately 4480 books in order to break even on the total costs of production.
Explanation:The problem requires figuring out when the revenues from selling the book will equal the total cost of production. This is a problem in algebra.
The one-time fixed costs total $45,920, and the variable costs per book are $11.25. The books will be sold for $21.50 each.
Step 1: Set up an equation
Let x be the number of books that need to be sold. The equation is then: 45920 + 11.25x = 21.50x.
Step 2: Solve for x
Subtract 11.25x from each side to isolate the variable on one side giving you: 10.25x = 45920. Then, divide both sides by 10.25 to derive x. So, the equation is x = 45920 / 10.25.
Step 3: Derive the solution
By doing the calculation, x approximately equals 4480. Thus the publisher needs to sell just about 4480 books to break even.
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The publisher must produce and sell 4,478 books to cover total production costs. They need to break even by equating total costs with total revenue, using the formula FC + (VC × N) = P × N, and solving for N after substituting the given fixed costs, variable costs per book, and price per book.
Explanation:To determine how many books a publisher must produce and sell to cover production costs, the following formula is used:
Total costs (TC) = Fixed costs (FC) + (Variable cost per book (VC) × Number of books (N))Total revenue (TR) = Price per book (P) × Number of books (N)To break even, TC must equal TR. This can be expressed as:
FC + (VC × N) = P × N
Now we substitute the given values:
$45,920 + ($11.25 × N) = $21.50 × N
To find N, we solve the equation for N:
$45,920 = ($21.50 - $11.25) × NN = $45,920 / $10.25N = 4,478Therefore, the publisher must produce and sell 4,478 books to cover total production costs.
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Pleaseeeeee help me!!
Answer:
118.3 m²
Step-by-step explanation:
The area (A) of a triangle is calculated using the formula
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 13 ( or 18.2) and h = 18.2( or 13) ← sides perpendicular
A = 0.5 × 13 × 18.2 = 118.3 m²
What is the surface area of the square pyramid below?
what pyramid???????
i think you forgot the pyramid
the three expressions, sin-1, cos-1, and tan-1 are called _____ trig functions and are used to find the measure of the acute angles of a right triangle if you know the lengths of at least two sides.
Answer:
Inverse.
Step-by-step explanation:
Answer:
theyre called inverse funtions .
inverse of :
cos= cosectant
tan= cotangent
sin= secant
A diver starts at the surface of the water and travels 8 feet to the bottom.
Graph A shows her distance from the bottom during the journey.
Graph B will show her distance from the surface during the journey.
Complete each statement about Graph B.
Answer:
On the graph B, at 0 seconds the graph will be at [tex]y=0.[/tex]
The graph will be going down until 2 seconds, when the diver reaches her deepest point. At 2 seconds the height of the graph will be -8ft.
Step-by-step explanation:
In graph B we are measuring the distance from the surface, that is we are setting the surface to be y=0. Thus if the diver reaches her deepest point 8ft down, she will be below y=0 and at -8ft.
Thus, in shape the graph B will be similar to graph A, but it will be shifted downed by 8ft.
Answer:
On Graph B, at 0 seconds, the graph will be at 0 feet.
Then the graph will increase until 2 seconds, when the diver reaches her deepest point. At 2 seconds the height of Graph B will be at 8 feet.
Step-by-step explanation:
It just works.
use formulas to find the lateral area and surface area of the given prism. round your answer to the nearest whole number.
11.21m , 5m ; 6m , 34m
A. 755 m^2; 815m^2
B. 755 m^2; 785m^2
C. 725 m^2; 815m^2
D. 725 m^2; 785m^2
will give brainliest but I need you to hurry!!!!
Answer:
OPTION A 755m^2;815m^2
Step-by-step explanation:
I hope it really helps I know everyone always needs help from time to time best of luck!
The results of a poll show that the true proportion of students who prefer the new schedule is likely in the interval (0.195,0.245).
What is the point estimate of the proportion of students who prefer the new schedule?
Enter your answer, as a decimal, in the box.
Answer:
0.22
Step-by-step explanation:
The point estimate is simply the middle of the confidence interval.
p = (0.195 + 0.245) / 2
p = 0.22
Jim would like to create a pencil holder with no top. He would like it to be 5 inches taller and 3 inches wide. He can't decide if he would like to make it a square base or a circular base. If the material costs $0.75 per square inch, how much more would it cost him to make a square prism than a cylinder?
Answer:
[tex]\$11.13[/tex]
Step-by-step explanation:
step 1
Find the surface area of the cylinder
The surface area of the cylinder is equal to
[tex]SA=\pi r^{2} +2\pi rh[/tex]
we have
[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter
[tex]h=5\ in[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]SA=(3.14)(1.5)^{2} +2(3.14)(1.5)(5)=54.165\ in^{2}[/tex]
Find the cost
[tex]54.165*(0.75)=\$40.62[/tex]
step 2
Find the surface area of the square prism
The surface area of the prism is equal to
[tex]SA=b^{2} +4bh[/tex]
we have
[tex]b=3\ in[/tex]
[tex]h=5\ in[/tex]
substitute
[tex]SA=(3)^{2} +4(3)(5)=69\ in^{2}[/tex]
Find the cost
[tex]69*(0.75)=\$51.75[/tex]
step 3
Find the difference of costs
[tex]\$51.75-\$40.62=\$11.13[/tex]
Please help me out!!!!!!!!
Answer:
25[tex]\sqrt{x}[/tex]
Step-by-step explanation:
Using the rule of exponents
• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex], then
[tex]x^{\frac{1}{2} }[/tex] = [tex]\sqrt[2]{x^{1} }[/tex] = [tex]\sqrt{x}[/tex]
Hence
25 [tex]x^{\frac{1}{2} }[/tex] = 25[tex]\sqrt{x}[/tex]
Ou have found a house that you would like to purchase. The amount of the home is $225,000. You would like to finance the home through your local credit union but they require a 10% down payment. Determine the amount needed for the down payment so that the bank will finance the home purchase. A. $22,500 c. $225,000 b. $202,500 d. $2,250
Answer:
A. $22,500
Step-by-step explanation:
10% = 10/100 = 1/10
To divide a decimal number by 10, move the decimal point one place to the left (remove a zero):
$225000./10 = $22500.0 = $22500
In the equation y = 2(x + 5), if x is increased by 3, then y is increased by
6
3
5
11
Answer:
[tex]x = \frac{y}{2}- 5[/tex]
[tex]x = \frac{1}{2} y - 5[/tex]
Step-by-step explanation:
[tex]1. \: \frac{y}{2} = x + 5 \\ 2. \: \frac{y}{2} - 5 = x \\ 3. \: x = \frac{y}{2} - 5 \\ \\ or \\ \\ 1. \: 2x + 10 = y \\ 2. \: 2x = y - 10 \\ 3. \: \frac{2x}{2} = \frac{y - 10}{2} \\ x = \frac{1}{2} y - 5 [/tex]
Which of these r-values represents the weakest correlation?
–0.9, –0.6, 0.2, 0.7
a. 0.2
b. -0.9
c. -0.6
d. 0.7
Answer:
0.2
Step-by-step explanation:
R can be as small as -1 to display a perfect negative linear relationship or as large as 1 to display a perfect positive linear relationship. The closer the r-value is to 0 the weaker the correlation so therefore 0.2 is closest to 0 making it the answer choice with the weakest correlation.
The function f (x) has the value f (-1) = 1. The slope of the curve y = f (x) at any point is given by the expression dy/dx = (2x + 1)( y + 1)
1. Write an equation for the line tangent to the curve y = f (x) at x = ? 1.
2. Use the tangent line from part A to estimate f (?0.9)
3. Use separation of variables to find an explicit or implicit formula for y = f (x), with no integrals remaining.
4. What is the limit of f(x) as x approaches infinity?
1. When [tex]x=-1[/tex], you know that [tex]y=f(-1)=1[/tex]. The tangent line at [tex]x=-1[/tex] has slope
[tex]\dfrac{\mathrm dy}{\mathrm dx}(-1,1)=(2(-1)+1)(1+1)=-2[/tex]
Then the tangent line has equation
[tex]y-1=-2(x+1)\implies\boxed{y=-2x-1}[/tex]
2. Plug [tex]x=-0.9[/tex] into the equation for the tangent line to get
[tex]f(-0.9)\approx-2(-0.9)-1\implies\boxed{f(-0.9)\approx0.8}[/tex]
3. Separating the variables in the ODE gives
[tex]\dfrac{\mathrm dy}{y+1}=(2x+1)\,\mathrm dx[/tex]
Integrating both sides yields
[tex]\ln|y+1|=x^2+x+C[/tex]
Given that [tex]f(-1)=1[/tex], we get
[tex]\ln|1+1|=(-1)^2+(-1)+C\implies C=\ln2[/tex]
so that the particular solution to the ODE is
[tex]\ln|y+1|=x^2+x+\ln2\implies y+1=e^{x^2+x+\ln 2}\implies\boxed{y=2e^{x^2+x}-1}[/tex]
4. As [tex]x\to\infty[/tex], the exponential terms grows without bound, so that [tex]\boxed{f(x)\to\infty}[/tex] as well.
All matter is made up of both positive and negative charges and we can only rub off the charges
Answer:
true if that is the answer your looking for
Step-by-step explanation:
Solve the following system of equations. Show your work
-3-3y=12x , -5-y=2x
solving simultaneously
let equation 1 be -3-3y=12x
let equation 2 be -5-y=2x
equation 2 make y subject of formula=> y=-5-2x
replace (y=-5-2x) in equation 1
-3-3(-5-2x)=12x
solve for x
x=2
replace x=2 in equation 2
y=-5-2(2)
y=-9
Therefore, x=2 y=-9
An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.
Answer:
8
Step-by-step explanation:
edg
Answer:
8 years
Step-by-step explanation:
An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation [tex]100e^{0.05t} = 150[/tex] represents the situation, where t is the number of years the money has been invested.
To find out how long has the money invested we need to find out 't'
[tex]100e^{0.05t} = 150[/tex] , solve for t
divide both sides by 100
[tex]e^{0.05t} = 1.5[/tex]
Now to remove 'e' we take ln on both sides
[tex]ln(e^{0.05t) = ln 1.5[/tex]
the value of [tex]ln(e)= 1[/tex]
[tex]0.05t = ln 1.5[/tex]
Now divide by 0.05 on both sides
t = 8.10930
The money is invested for 8 years
Using the side lengths determine whether the triangle is acute, obtuse or right 36, 45, 27
given sides,
a=36
b=45
c=27
From cosine law,
cosA=
[tex] \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} \\ = \frac{ {45}^{2} + {27}^{2} - {36}^{2} }{2 \times 45 \times 27} \\ = \frac{3}{5} = 0.6[/tex]
or, A= cos^-1(0.6)=53.13°
similarly, cosB=
[tex] \frac{ {a}^{2} + {c}^{2} - {b}^{2} }{2ac} \\ = \frac{ {36}^{2} + {27}^{2} - {45}^{2} }{2 \times 36 \times 27} \\ = 0[/tex]
or, B= cos^-1(0)=90°
Since, B=90, the given triangle is right angled triangle.
Harold had 1,400 stamps. He gave 350 of them to his brother and the rest to his sister. What percent did he give to his brother?
Answer:
25%
Step-by-step explanation:
350/1400 as a simplified fraction is 1/4 because you can divide 350 into 1400.
And now we know that 1/4 is 25%.
Or just divide 1 by 4. And you'll get .25 and then just move the decimal to the right 2 times.
Hope this helps!
Harold gave 1,400 stamps to his brother and sister. He gave 350 stamps to his brother. What percent of stamps did Harold give to his brother.
The percent[tex]\frac{350}{1,400}[/tex] represents the number of stamps that Harold gave to his brother out of all the stamps.
To find what percent of stamps that Harold gave to his brother, we can change the fraction [tex]\frac{350}{1,400}[/tex] to a percent.
We can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 350 and 1400 using 350.
350 ÷ 350 = 1
1400 ÷ 350 = 4
Our reduced fraction is [tex]\frac{1}{4}[/tex].
1 ÷ 4 = 0.25
0.25 × 100 = 25%
Therefore, Harold gave his brother 25% of his stamps.
Find the cos of angle y
ANSWER
[tex]\cos(y) = \frac{4}{5} [/tex]
EXPLANATION
From the mnemonics SOH-CAH-TOA.
We want to find the cosine of y
CAH means cosine ratio involves adjacent over the hypotenuse.
[tex] \cos(y) = \frac{adjacent}{hypotenuse} [/tex]
From the right by triangle, the side ajacent to angle y is 64 units and the hypotenuse is 80 units.
[tex] \cos(y) = \frac{64}{80} [/tex]
[tex]\cos(y) = \frac{4}{5} [/tex]
Answer:4/5
Step-by-step explanation:
The height in feet of a rocket launched into the air is modeled by the function (t)=-16t^2+160t+300 where t is time in seconds. Approximately how many seconds will the rocket exceed the height of 500 ft?
The rocket exceed the height of 500 ft in 1.46 seconds or 8.43 seconds.
what is quadratic equation?Standard form of the quadratic equation in the variable x is an equation of the form a[tex]x^{2}[/tex] + bx + c = 0, where a, b, c are real numbers and a ≠ 0. Any equation of the form P(x) = 0, Where P(x) is a polynomial of degree 2, is a quadratic equation.
Given equation of height is:
h(t)= -[tex]16t^{2} +160t+300[/tex]
Now, the exceeded to 500 feet.
So,
-[tex]16t^{2} +160t+300[/tex]=500
16[tex]t^{2}[/tex] -160 t +200=0
Now, solve for t: a=16, b= -160, c= 200
D= [tex]\sqrt{b^{2}-4ac }[/tex]
= [tex]\sqrt{(-160)^{2}-4*16*200 }[/tex]
= [tex]\sqrt{12800 }[/tex]
= 80√2
As D>0 then,
x= [tex]\frac{-b\pm \sqrt{b^{2}-4ac }}{2a}[/tex]
x= (160 ±80√2)/32
x= (160 +80√2)/32 or x= (160 -80√2)/32
So, x= 8.43 and x=1.46
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