Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
Let us solve the question
∵ f(x) = x + 4 if x < 5 ⇒ First part
→ That means if x less then 5 we will use this part of f(x)
∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part
→ That means if x = 5 or greater than 5 and less than 7, we will use
this part of f(x)
∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part
→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,
we will use this part of f(x)
a. The value of f(0)
∵ x = 0
∵ 0 < 5
→ That means we will use the first part of f(x)
∵ f(x) = x + 4
∴ f(0) = 0 + 4
∴ f(0) = 4
b. The value of f(6)
∵ x = 6
∵ 6 is between 5 and 7
→ That means we will use the second part of f(x)
∵ f(x) = 8
→ It means the value of f(x) is 8 for any values of x from 5 to less than 7
∴ f(6) = 8
Garrett arrived at the train station at 12:35 P.M. His train finally came at 1:30 P.M. How long
did Garrett have to wait for the train?
Answer:
55 minutes
Step-by-step explanation
He started waiting at 12:35 P.M. If we're assuming this is the same day, you're able to add the minutes until you get to 1:00 P.M., which is around 25 minutes. Afterwards, you need to add another 30 minutes to get to the train's time of arrival, which means you should get 55 minutes!
Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?
Answer:
5 and 10/11 kilometers
Step-by-step explanation:
if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer
Solve, using a proportion.
If there are 75 pepperoni on
5 large pizzas, how many pepperoni
are there on 3 large pizzas?
Answer:
There are 45 pepperoni on 3 large pizzas
Step-by-step explanation:
Here, we want to use proportional relationship to solve this;
75 pepperoni to 5 large pizzas
x pepperoni to 3 large pizzas
75 * 3 = x * 5
x = (75 * 3)/5
x = 15 * 3 = 45
Helpppppp plssssssssss
Answer
I dont know
Step-by-step explanation:
I would love to help but I have no clue
Answer:
slope = 12/7
Step-by-step explanation:
y2 - y1 / x2 - x1 = slope
slope = 4-(-8)/0-(-7)
slope = 12/7
In the diagram below, RS and ST are perpendicular.
Which equation represents ST ?
А.
-x+ 3y = 9
В.
3x + y = 13
C
-3x+y=-13
D
3x + y=23
Answer:
A==−x+3y=9
Step 1: Add -3y to both sides.
−x+3y+−3y=9+−3y
−x=−3y+9
Step 2: Divide both sides by -1.
−x
−1
=
−3y+9
−1
x=3y−9
Answer:
x=3y−9
what is the square root of 3(125/5-8)
square root(3) * ((125 / 5) - 8) =
29.44
that's the final answer.
if possible please give me a brainliest. tnx good day
Yuto solved the equation below.
Negative 2 (x + 5) = negative 2 (x minus 2) + 5
What is the solution to Yuto’s equation?
Answer:
x = no solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-2(x + 5) = -2(x - 2) + 5
Step 2: Solve for x
Distribute -2: -2x - 10 = -2x + 4 + 5Add: -2x - 10 = -2x + 9Add 2x on both sides: -10 ≠ 9Here we see that -10 does not equal 9.
∴ x = no solutions.
Answer:
no solution
Step-by-step explanation:
:)
Yeah I need some help, I'm kinda confused on this entire test.
Answer:
Answer would be D
Step-by-step explanation:
Which of the following statements about AB and AC is true?
Answer:AB is longer than AC
Step-by-step explanation:AP3X
Answer:
c
Step-by-step explanation:
I just did it on A.P.E.X.
i need help 42/18 simplified.
Answer:
The simplest form of 42/18 is 7/3 or 2 1/3
Step-by-step explanation:
Answer:
7/3 or 2 and 1/3
Step-by-step explanation:
So first you have to find what is GCF of 42 and 18, which is 6 so divide 42 and 18 by 6 and you get 7/3 which is your simplified fraction but you can make this into a mixed number which would be 2 and 1/3
CHARITY This year, James raised $95 for an animal shelter. This is 5
times the amount he saved. The equation 5x = 95 can be used to find last
year's fundraising amount. Find last year's fundraising amount.
Please help I have know clue what to do!!
Answer: Hi, sorry if I’m late to answering but the answer is 19
Step-by-step explanation:
You divide each number in the equation by 5. So, 5x divided by 5 = 1. We cannot use 5 divided by 5 because it will equal 1 so we ignore that and go to 95 divided by 5 = 19. Therefore, 19 is your answer!!! (Hope this helped)
mandy flips a quater 360 times .how many time should she expect to see heads
Answer:
180
Step-by-step explanation:
Evaluate −4(1/4)6x for x=1/3.
Enter your answer as a fraction in simplest form in the box.
Mrs. Goerlich deposited $2,000 into a savings account to save for her son's college tuition. • The account earns simple interest. • She did not make any additional deposits or withdrawals. • At the end of 6 years, the account has a balance of $2,780. What is the annual interest rate on this account?
Answer: 6.5%
Step-by-step explanation:
In 6 years the interest earned is:
= 2,780 - 2,000
= $780
The account earns simple interest which means that it increased by the same rate yearly. Yearly increase is:
= 780/6
= $130
Simple interest rate = Interest payment/ Deposit
= 130/2,000
= 6.5%
Evaluate the expression for b=5.
4b2
Step-by-step explanation:
When b = 5,
4b² = 4(5)² = 4 * 5 * 5 = 100.
Answer:
100 is the right answer.
Step-by-step explanation:
Given that b=5
4b² = 4(5)² = 4×25 = 100
Please help! I am so confused on this, I've probably been stuck on it for at least an hour.
9514 1404 393
Answer:
see attached for the drawing
slope = -1/2
Step-by-step explanation:
For the rise of -1 and the run of 2, the slope is ...
m = rise/run = -1/2 . . . . slope in simplest form
__
Additional comments
It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.
On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.
We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.
Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.
A dump truck bar 1/3 of a ton of rocks on the 1st beat trip when half of a ton on the 2nd trip and forfeits of a tone on the 3rd trip what was the total way of the rock.
Answer: 1/30
Step-by-step explanation:
Here's the correct question:
A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?
To calculate the the total weight of the rock left at the construction site goes thus:
= 1/3 + 1/2 - 4/5
The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.
= 1/3 + 1/2 - 4/5
= 10/30 + 15/30 - 24/30.
= 1/30
Morristown City Cafe recently introduced a new flavor of coffee. They served 24 grande cups and 51 jumbo cups of the new coffee today, which equaled a total of 1,506 ounces. The day before, 26 grande cups and 66 jumbo cups were served, which used a total of 1,868 ounces. How much coffee is required to make each size?
Which of the following is the slope intercept form of the equation
3x - 8y = 16
A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2
Answer:
y = 3/8 x - 2
Step-by-step explanation:
Put 8y on the other side to get
8y + 16 = 3x
8y = 3x - 16 and thus
y = 3/8 x - 2
What is the verbal expression 21-18
Answer: twenty one decreased by eighteen or the difference of twenty one and eighteen
kevin has a part time job
he earns £8 an hour
he wants to buy a new bike costing £176
how many hours does he need to work to earn enough to but it?
What is the limit of the function?
Select True or False for each limit statement.
Answer:
false
false
false
...............
The limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.
The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.
[tex]\lim_{x \to -\infty} (2x^{3} -2x)=\infty[/tex]
This limit function is false.
[tex]\lim_{x \to -\infty} (2x^{4} +6x^{3}-2x)=-\infty[/tex]
This limit function is false.
[tex]\lim_{x \to \infty} (-9x^{5} -6x^{3}-x)=-\infty[/tex]
This limit function is false because it should be positive.
Hence, the limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
To learn more on Differentiation click:
https://brainly.com/question/24898810
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choose the definition for the function y={x+1 x≤2 x+2 x>2 y={x+1 x>2 x+2 x≤2 y={x+1 x
Answer:
D
Step-by-step explanation:
1) What are the solutions of (x/3) > -1?
is this asking if I need multiple solutions?
Yes...
x/3 > -1
what values of x make x/3 > -1
hint... your answer will look like like x > (number)
Your friend claims that she has a bag of 30 coins containing nickels, dimes,
and quarters. The total value of the 30 coins is $3. There are twice as many
nickels as there are dimes. Is your friend correct?
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Answer:
No
Step-by-step explanation:
If all 30 coins were nickels and dimes, there would be 10 dimes and 20 nickels, for a total value of $2.00. Trading a dime and 2 nickels for an equal number of quarters raises the value to $2.00 -0.10 -2(0.05) +3(0.25) = $2.55.
That is, each such trade adds $0.55 in value to the total amount. Since the original difference of $3.00 -$2.00 = $1.00 is not evenly divisible by $0.55, there cannot be twice as many nickels as dimes.
__
For 30 coins, possible numbers of {nickels, dimes, quarters} are ...
{21,2,7}, {18,6,6}, {15,10,5}, {12,14,4}, {9,18,3}, {6,22,2}, {3,26,1}, {30 dimes}
Note that we can have 1.5, 3, or 10.5 times as many nickels as dimes, but not 2 times as many.
Please Help Me!!!!!!!
Answer:
D
Step-by-step explanation:
(6, 24) this ordered pair has an x-value of 6 and a y-value of 24
The only equation, if you substitute those values into it, which works is D.
24 = 4(6)
24 = 24
plz help im confused on how this works. If a triangle has side lengths of 7.5 and 4.8, what is the range of lengths for the third side
Answer:
it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.
Step-by-step explanation:
Someone please help me I will give brainliest! IT SOOOO HARD FOR ME!
Answer:
Step-by-step explanation:
We can do this by cross multiplying.
14/6=x/21
=49/21
Order the following fractions from least to greatest 2/8 2/3 2/9
Answer:
2/9, 2/8, 2/3
Step-by-step explanation:
2/9= 0.22 (to 2 decimal point)
2/8= 0.25
2/3 = 0.67
The sporting goods store has a pair of soccer cleats on sale for $52. Without the sale they are $75. What is the percent of decrease? (Round to the nearest percent.)
Answer:
nl i can't give sorry again