If an input of -9 is put into each of the machines below, what is each output?
b. Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?
Function A
Function B
If an input of -9 is given to machine having Function A, then output will be 84 and if it is given to machine having Function B, then the output will be 3i-2.
The machine having Function A is given by y = x² + 3 and the machine having Function B is given by y = (√x) - 2.
Here, input will be the value of x and output will be the value of y as x id the independent variable and y is the dependent variable. If we put x = -9 in both the machines, then;
The output by machine A will be given by
y = (-9)² + 3
y = 81 + 3
=> y = 84
The output by machine B will be given by
y = (√-9) - 2
y = 3(√-1) - 2
=> y = 3i - 2.
Now, if Eric wants to get an output zero, he can get it by using machine B as Function A has square and addition both so any negative number will also give a positive result and the result will never be zero. But in Function B the result zero can be obtained by giving the input as 4 that is x = 4. The output will be given by:
y = (√4) - 2
y = 2 - 2
=>y = 0.
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Sean tried to drink a slushy as fast as he could. He drank 5 milliliters of slushy each second and finished all
the slushy after 50 seconds.
Graph the relationship between the amount of slushy left in the cup (in milliters) and time (in seconds).
Answer:
graph like this:
Step-by-step explanation:
First, in 5 seconds, we know that he drinks 25 mL of slushy. We know this because 1 second is 5 mL, so 5 seconds is 25 mL. So, your graph should be going from the 5 second to 25 mL mark, then the 10 second and 50 mL mark, then the 15 mL and 75 mL mark, and so on.
F(x)=(x-2)(x-6) Find the x-intercepts
HELP ASAP ILL GIVE BRAINLIST
Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩
Answer:
[tex]\theta = 108.29[/tex]
Step-by-step explanation:
Given
[tex]u = <2,6>[/tex]
[tex]v = <4,-7>[/tex]
Required:
Calculate the angle between u and v
The angle [tex]\theta[/tex] is calculated as thus:
[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex]
For a vector
[tex]A = <a,b>[/tex]
[tex]A = a * b[/tex]
[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex] becomes
[tex]cos\theta = \frac{<2,6>.<4,-7>}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{2*6+4*-7}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{12-28}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]
For a vector
[tex]A = <a,b>[/tex]
[tex]|A| = \sqrt{a^2 + b^2}[/tex]
So;
[tex]|u| = \sqrt{2^2 + 6^2}[/tex]
[tex]|u| = \sqrt{4 + 36}[/tex]
[tex]|u| = \sqrt{40}[/tex]
[tex]|v| = \sqrt{4^2+(-7)^2}[/tex]
[tex]|v| = \sqrt{16+49}[/tex]
[tex]|v| = \sqrt{65}[/tex]
So:
[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{2600}}[/tex]
[tex]cos\theta = \frac{-16}{\sqrt{100*26}}[/tex]
[tex]cos\theta = \frac{-16}{10\sqrt{26}}[/tex]
[tex]cos\theta = \frac{-8}{5\sqrt{26}}[/tex]
Take arccos of both sides
[tex]\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})[/tex]
[tex]\theta = cos^{-1}(\frac{-8}{5 * 5.0990})[/tex]
[tex]\theta = cos^{-1}(\frac{-8}{25.495})[/tex]
[tex]\theta = cos^{-1}(-0.31378701706)[/tex]
[tex]\theta = 108.288386087[/tex]
[tex]\theta = 108.29[/tex] (approximated)
Conjecture: Any negative number cubed is what?
Answer:
Also a negative number
Step-by-step explanation:
negative times negative is equal to positive, positive times negative is equal to negative
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
What is complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.
If x is a real number,
-x is a negative real number,
(-x)³=-(x³)
e.g.(-3)³=-(3³)= -27
(-½)³=-(½)³= -(1/8)
The cube of a negative number can be calculated in the same way as you calculate for the positive number.
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
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A family went out to dinner and their meal cost $45.50. They left a 20% tip. How much tip did they leave?
Answer:
45.5*0.2 which is 9.1
Step-by-step explanation:
Hope this helps plz hit the crown :D
Which of the following accurately shows the range of the function defined below? [3, infinity), [2,infinity), [3,6], (-infinity, infinity)
2,infinity
Hope this helps
Answer:[2,♾)
Step-by-step explanation:
What is 7/12 plus 1/4 simplest form
Answer:
i think its 1/3 sorry if im wrong
is {(3,-2), (4,-2), (5,-2), (6,-2) a function
Answer:
yes
Step-by-step explanation:
This function is y=-2 which is a line that doesn't overlap.
Answer: Yes
Step-by-step explanation:
When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.
For example:
{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.
Another example:
{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value
Hope this helps!
Which of the
following equations can be used with x + y = 60 to solve for x and y
Answer:
What are "the following equations" supposed to be?
Step-by-step explanation:
:)
If you are solving the equation 1/(x-4)+1=14/(x+2) by factoring, which of the following equations would you use the zero product property on?
(x - 5)(x + 4) = 0
(x - 5)(x - 10) = 0
(x + 5)(x + 10) = 0
Answer:
The equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
We need to solve the equation [tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}[/tex]
Solving the equation:
[tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}\\\frac{1+(x-4)}{x-4}= \frac{14}{x+2}\\\frac{1+x-4}{x-4}= \frac{14}{x+2}\\\frac{x-3}{x-4}= \frac{14}{x+2}\\Cross\: Multiply\\(x-3)(x+2)=14(x-4)\\x(x+2)-3(x+2)=14x-56\\x^2+2x-3x-6=14x-56\\x^2-x-6-14x+56=0\\x^2-x-14x-6+50=0\\x^2-15x+50=0[/tex]
Now, we would factorise to find value of x
[tex]x^2-15x+50=0\\x^2-5x-10x+50=0\\x(x-5)-10(x-5)=0\\(x-5)(x-10)=0[/tex]
So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Answer:
So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
HELPPP ASAP!!!!!!! PLZZZ
Answer:
8/12
Step-by-step explanation:
A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?
Answer: 9 and 21
Step-by-step explanation:
board=30m
divide by 2 pieces
one piece, we call it a
b, the other piece is b= 2a+3
a+b=30
a+2a+3=30
3a=30-3
3a=27
a=9
b=21
Ms. Thomas buys a new computer for $659. She plans to pay it off in 8 monthly payments. If she pays the same amount each month, which is the best estimate of her monthly payments?
Answer:
$82.38
Step-by-step explanation:
What you have to do is divide. $659 divided by 8 equals 82.375 so then you round so then it will be money. This would equal $82.38. There you go. Hope that answered your question. Mark me brainliest please!
Help please I’ll give brainliest!
30 POINTS! PLEASE GRAPH AND ANSWER THE QUESTION WILL MARK BRANLIEST
Answer:
Step-by-step explanation:
put a point on -5 and put a point on -4 then write the equation on the top to show what you did, name the points then put a point on -9
Answer:
x ≥ 1
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
−x ≤ −1
Divide each term in −x ≤ −1 by −1 and simplify.
x ≥ 1
Hope this helps! :)
Please help me out I’m lost
Given:
The function is
[tex]f(x)=2x^4-4x^3+20x-100[/tex]
To find:
The remainder if f(x) is divided by (x+11).
Solution:
According to the remainder theorem, if a function f(x) is divided by (x-c), then the remainder is f(c).
On comparing (x+11) and (x-c), we get c=-11.
Using remainder theorem, if a function f(x) is divided by (x+11), then the remainder is f(-11).
Putting x=-11 in the given function.
[tex]f(-11)=2(-11)^4-4(-11)^3+20(-11)-100[/tex]
[tex]f(-11)=29282+5324-220-100[/tex]
[tex]f(-11)=34606-320[/tex]
[tex]f(-11)=34286[/tex]
Therefore, the remainder is 34286 when f(x) is divided by (x+11).
there is a graph with 36 possible outcomes. What is the probability of rolling a sum of 10 when rolling 2 number cubes.
A. 1/12
B. 1/9
C. 1/3
D. 5/12
Answer: A
Step-by-step explanation:
Answer:
A. 1/12
Step-by-step explanation:
A digital clock shows hours and minutes. How many times between one minute after midnight and one minute before midnight does the clock show the same when it is read forwards or backwards (for example : 15:51)
Answer:
60 seconds make 1 minute,60 minute make 1 hours.
Zinnia and Ruby earn $58 per week for delivering pizzas. Zinnia worked for x weeks and earned an additional total bonus of $13. Ruby worked for y weeks. Which expression shows the total money, in dollars, that Zinnia and Ruby earned for delivering pizzas?
The following equations are set up for each person
Zinnia: 58x+13
Ruby: 58y
If you need the total of both the equation is:
58x+13+58y
Hopefully this helped :) Have a great day
Answer:
I believe your answer is D, 58x+13+58y.
Step-by-step explanation:
Which of the following is an existential quantifier?
A)few
B)none
C)every
D)all
Answer:
A
Step-by-step explanation:
A is probably the best one!
Which of the following is equal to the absolute value of 7?
o the distance between 7 and zero on a number line
o the distance between -3 and -4 on a number line
o the distance between -7 and 7 on a number line
the distance between 1 and 7 on a number line
Classify √3
√3 means the nonnegative square root of 3
√ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.
We are given a number √ 3.
We need to classify the number.
First we can see that, this is the non negative square root of the number 3.
That is when we multiply √ 3 two times, we get the number 3.
Also, we can see that, it will be an irrational number as it will be non terminating and non repeating number.
That is it will be a real irrational number.
Therefore, we get that, √ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.
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PLEASE HELP :) 20 POINTS FOR IT IF U JUST ANSWER LIKE IDK OR SUM IMMA REPORT
Answer:
BC = [tex] 1.8 [/tex]
Step-by-step explanation:
∆ABC is an equilateral ∆ because all three angles are equal. Therefore, all its sides would be equal also. This means AB = BC = AC
Thus, let's find the value of x.
[tex] \frac{7}{4}x - 1 = \frac{9}{3}x - 3 [/tex]
Collect like terms
[tex] \frac{7}{4}x - \frac{9}{3}x = 1 - 3 [/tex]
[tex] \frac{7x}{4} - 3x = -2 [/tex]
[tex] \frac{7x - 12x}{4} = -2 [/tex]
[tex] \frac{-5x}{4} = -2 [/tex]
Multiply both sides by 4
[tex] \frac{-5x}{4}*4 = -2*4 [/tex]
[tex] -5x = -8 [/tex]
Divide both sides by -5
[tex] x = \frac{8}{5} [/tex]
AB = BC = AC
Therefore,
BC = [tex] \frac{7}{4}x - 1 [/tex]
Plug in the value of x
BC = [tex] \frac{7}{4}*\frac{8}{5} - 1 [/tex]
BC = [tex] \frac{56}{20} - 1 [/tex]
BC = [tex] 2.8 - 1 [/tex]
BC = [tex] 1.8 [/tex]
please help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
57
Step-by-step explanation:
Which of the following situations can be represented by the expression 7 + 12x ? Select two that apply.
Answer:
theres no situations or answers.
Step-by-step explanation:
The area of a rectangle is greater than or equal to 154 square centimeters. The width of the rectangle is 12 centimeters and the length is x
centimeters. Select the possible value(s) of x.
Plz it’s a test LOLMDJSHS
Answer:
x ≤ 12.83
(Any number under or equal to 12.8333...)
Step-by-step explanation:
154 ≥ 12x
12.833.... ≥ x
x ≤ 12.83
What is
22x22x22x22x22x22 as a power?
Answer:
22^6
Step-by-step explanation:
Answer:22^6
Step-by-step explanation:
because you have 22*22 6 times take the 6 twenty twos and make that an exponent of 6 you have the base of 22 you have the exponent of 6 so you have to power of 22 to the sixth
Please help
Find the equation of this line
Write it in the form y=mx+b
Y=?
y=1/5x because it passes through the origin