Answer:
Domain: (-∞, ∞)
Range: (-∞, -3]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
We know that the parabola will continue indefinitely, hence we use infinity. Our domain would then be from negative infinity to positive infinity, because we can plug in any number x.
We see the from the graph that the y-value is actually restricted. We have a max value of y = -3, and the graph will never go higher than that. Therefore, our range spans from negative infinity to -3.
Step-by-step explanation: The range of a function
is the set of all y values of the function.
The y values on a coordinate system are the up and down values.
Our parabola is expanding infinitely downwards but
it never goes above the y value of -3.
So we say that the range of this function is {y: y ≤ -3}.
The domain is the set of all x values or left and right values.
Since it's expanding infinitely to the left and right,
we say that the domain is the set of all real numbers or R.
What is the missing number from the following sequence?
4 7 11 18 29 47 __ 123 199 322
Answer: 76
Step-by-step explanation: 29 + 47
Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?
Answer:
Total earned= $273
Step-by-step explanation:
Giving the following information:
Regular labor hours= $5.25
Overtime labor hours= $5.25*1.5= $7.875
To calculate the total earned, we need to use the following formula:
Regular labor hours= 40*5.25= 210
Overtime labor hours= 8*7.875= 63
Total earned= 210 + 63
Total earned= $273
Brooke needs a new computer. On Friday, the computer was $200.00. On Saturday, the price of the computer was $149.00. Determine if there was a markup or markdown and by what percent.
Answer:
Step-by-step explanation:
Given
price of the computer on Friday = $200
price of the computer on Saturday = $149
Difference in price = 200 - 149 = $51
Since the price reduces in price by $51, hence there was a markup in price.
% markup = difference in price/original price * 100%
% mark up = 51/200*100%
% markup = 51/2
% markup = 25.5%
Hence the markup was a 25.5% change
Answer:
25.5 is the answer..........................................................
Step-by-step explanation:
if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?
A’ is the image of A in a regular pentagon. What is the angle of a clockwise rotation, in degrees, about the origin that transfers A to A’
Answer:
B. 144°
Step-by-step explanation:
have a nice day.
Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?
3%
4%
6%
7%
Answer:
About 3%
Step-by-step explanation:
3% of $167,000 is $5,010
5010 times the 20 years is 100200 add that to the 167000 and you get $267,200
The actual answer is about 2.4% but 3% is the closest.
Find the surface area of the rectangular prism.
1 mi
1 mi
5 mi
Answer:
20mi[tex]1^{2}[/tex]
Step-by-step explanation:
Well, I'm guessing that the 1mi by 1mi is the two square sides and 5 mi is the length of the rectangular part
So with that information, the two surface areas of the squares would be 1mi[tex]1^{2}[/tex]+1mi[tex]1^{2}[/tex] is 2mi[tex]1^{2}[/tex]
And then the four rectangular sides would be 5mi[tex]1^{2}[/tex] *4 = 20mi[tex]1^{2}[/tex]
in conclusion
20mi[tex]1^{2}[/tex]
If 7 + 5 i is a zero of a polynomial function P(x) with real coefficient, then which is also a zero for P(x)
Answer:
ppap
Step-by-step explanation:
fhfhhffhff my name is denish paudyal
Answer:
7 - 5i
Step-by-step explanation:
complex zeros occur as conjugate pairs , thus if 7 + 5i is a zero, then
7 - 5i is also a zero
Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4
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[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]
[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]
[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Factorise x cube -2x square -5x plus 6
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?
Answer:
A scale of fivce hundred should be the correct answer
Step-by-step explanation:
Answer:
1cm=50km
Step-by-step explanation:
325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.
On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.
123
5
→
3
8
→
Martin's friend bought about
pounds of grapes.
Answer:
The answer is 123
5
→
✔ 12 1/2
3
8
→
✔ 1/2
Martin's friend bought about
✔ 6 ¼
pounds of grapes.
The number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.
Therefore, the amount that his friend bought will be:
= 3/8 × 12 3/5
= 3/8 × 63/5
= 189/40
= [tex]4\frac{29}{40}[/tex]
Hence, the number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
Learn more about fraction on:
brainly.com/question/9695343
#SPJ6
For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.
Answer:
8
Step-by-step explanation:
Answer:D is incorrect
the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle
Answer:
[tex]16\frac{2}{3}[/tex]cm
Step-by-step explanation:
Given dimensions:
[tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm by [tex]5\frac{2}{3}[/tex] cm
The total length:
it is the sum of all the sides;
[tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]
LCM of the denominators = 6 ;
[tex]\frac{38 + 28 + 34}{6}[/tex] = [tex]\frac{100}{6}[/tex]
= [tex]\frac{50}{3}[/tex]
= [tex]16\frac{2}{3}[/tex]cm
help ;w;
Daniel rode his bicycle from Barton to Wells along the path shown on this map.
If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?
Someone help ASAP
I don’t understand
Answer:
[tex]\sqrt{49}[/tex] and 1/4 are rational numbers
Step-by-step explanation:
others are not rational numbers because the decimals goes on forever.
Ex. [tex]\sqrt{7}[/tex]=2.64575.....
4/9=0.444444444...
pi goes on forever
help plzzzzzz it should be easy
Answer:
uh
Step-by-step explanation:
l
Answer
1.< 2.>
Step-by-step explanation:
1. 9x4/5= 7.2<9
2. 4x6/5= 4.8>4
Please help me!!!! I will mark brainlist.
Answer:
angle 1 =135
Step-by-step explanation:
it is 180 degrees total. We know that there are two angles that have a ratio to 3:1. So, assign x to 2. Since 1 = 3x, we do 3x+x =180
4x=180
x=45 or angle 2
180-45=135 or angle 1
Multiply angle 2 by 3 to check if its correct
Answer:
the measurement of angle 1 is 135 degrees. (i think)
Step-by-step explanation:
so we know that angle 1 and 2 are at a 3:1 ratio
and that 1 and 2 add to 180 degrees
if you plug the number 45 in to angle 1, then multiply that by 3 you get 135
the remaining number to add to 180 would be angle 2
which is 45 degrees.
If the explanation is choppy or hard to read, apologies, its fairly hard for me to explain this.
however i hope this helps.
Simplify the expression: 3(q + 11) - 4
Answer:
8
Step-by-step explanation:
Question is: Solve -7(x+6)=4(x+6)
[tex]\huge\boxed{x=-6}[/tex]
Hey there! Our goal here is to isolate the variable on one side of the equation.
[tex]\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}[/tex]
Answer: The answer is x=–6.
Step-by-step explanation: Step 1: Simplify both sides of the equation:
[tex](-7)(x)+(-7)(6)=(4)(x)+(4 )(6)[/tex] (Distributive Property)
[tex]-7x+-42=4x+24[/tex]
[tex]-7x-42=4x+24[/tex]
Step 2: Subtract 4x by the both sides: [tex]-7x-42-4x=4x+24-4x[/tex]
[tex]-11x-42=24[/tex]
Step 3: Add 42 to the both sides: [tex]-11x-42+42=24+42[/tex]
[tex]-11x=66[/tex]
And step 4: Divide both sides by -11: [tex]\frac{-11x}{-11}=\frac{66}{-11}[/tex], [tex]x=-6[/tex].
I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D
I WILL MARK AS BRAINLIEST!!!!
Answer:
1. 795, 23
2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins
3. $276, 71 cars
Step-by-step explanation:
1. your equation: y = 35x + 235
plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235
you get y = 795
for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x
your equation: 1024 = 35x + 235
solve to get x = 22.54
this rounds up to 23, so your answer is 23
2. multiply 8 times 4 to get 32
subtract 32 from 82 to fin how many she has left
you get 50
for the second part, divide 82 by 4 to find how many day it will take to finish her candy
you get 20.5
so no, she will not have candy to share with her cousins, and she will finish her candy on November 21
3. for this, you have a negative y intercept since you need to make $24 to start profiting
your equation: y = 6x - 24
plug in 50 to x: y = 6(50) - 24
you get y = 276
so you make $276 with 50 cars
for the second part, plug in 400 to y: 400 = 6x - 24
solve to get x = 70.66
this rounds up to 71, so your answer is 71
PLS HELP I AM RunNInG LOW ON PONITS AND WONT BE ABLE TP REPOst
Answer:
The answer would be D.
Step-by-step explanation:
if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?
Answer:
$119, $7.
Step-by-step explanation:
First, we need to find the unit rate of pay, in dollars.
Divide $35 by 5 to get $7 per hour.
Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.
By doing this, we get the answer: $119.
Hope this helps! Let me know.
4.5x10^2 in standard notation
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
Ms. Geetha said that 60 of her total students will compete in the Math Olympics. If 60 is 20% of her students, how many total students does she have?
Answer:
300 students
Step-by-step explanation:
There are two ways to solve this question.
Way Number 160 is 20% of the total students
20÷100= 0.2
60÷0.2=300
Therefore there are 300 students
Way Number 260 is 20% of the total students
60/20 = x/100
x= 60*100÷20
x= 6000÷20
x= 300
Therefore there are 300 students.
I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17
Answer:
-27.6
Step-by-step explanation:
I'm smart but probably shouldn't use my answer
What is the solution to the equation 5x−2=2x+13
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5x-2=2x+13
-2x -2x
3x-2=13
+2 +2
3x=15
divide 15 by 3.
(0, -19), (20, 15)
I am having trouble
Answer:
-38285
Step-by-step explanation:
this is what my calculator told me
sorry but ask someone else
I don´t know what slopes are
so sorry
Kelsey is a stock broker. She earns 11% commission each week.Last week she sold $7200 worth of stocks. How much did she make last week in commission? if she averages the same amount each week how much did she make in commission in 2011?
Answer:
$792 last week's commission.
$41,184 for 2011
Step-by-step explanation:
11% of 7200 is = $792
$792 times 52 weeks in a year is $41,184
3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.
s +10 = 25.
There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?