Distance is the product of speed and time. Hence, the distance covered by Leika is 12k - 72 miles.
Given that :
Speed = 12 miles per hour Run Time = k - 6Recall :
Distance traveled = Speed × timeDistance covered by Leila can be calculated thus :
Distance = 12 × (k - 6)
Distance = 12k - 72
Therefore, the distance covered by Leila is 12k - 72 miles.
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For the time k less than 6 hours, the distance that Leila travel is less than 72 miles.
The given parameters;
speed of Leila, v = 12 miles per hourtime of motion of Leila = k < 6 hoursThe maximum distance that Leila can travel in a time less than 6 hours is calculated as follows;
Distance < speed x time
Distance < 12 mph x 6 hours
Distance < 72 miles
Thus, for the time k less than 6 hours, the distance that Leila travel is less than 72 miles.
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Given functions f(x) and g(x):
f (x) = x + 2
g(x) = x + 1/2
...what is the coefficient of the x term of f(x) · g(x)?
Find the coefficient for the x term of the answer to (fºg)(x). Write the answer as a fraction
(enter fractions write as a slash i.e. 1/2 for ) or as
a decimal. Do not include spaces in your response.
Type answer here. Be careful with spelling.
Answer:
5/2
Step-by-step explanation:
f*g = (x+2)(x+1/2) = x^2+5x/2+1
the x term is 5x/2, and the coefficent is 5/2
Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. F(x) = x3 − x2 − 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) =
Solution :
Given :
[tex]$f(x)=x^3-x^2-18x+19$[/tex]
By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then
[tex]$f(x)=(x-k)q(x)+r$[/tex]
Here, k = 4
Therefore, divide the f(x) with (x - 4) to find the q(x) and r.
__________________
[tex]$x-4$[/tex] | [tex]$x^3-x^2-18x+19$[/tex] | [tex]$x^2+3x-6$[/tex]
[tex]$x^3-4x^2$[/tex]
------------------------------------
[tex]$3x^2-18x$[/tex]
[tex]$3x^2-12x$[/tex]
-------------------------------------
[tex]$-6x+19$[/tex]
[tex]$-6x+24$[/tex]
-------------------------------------
[tex]$-5$[/tex]
Therefore,
q(x) = [tex]$x^2+3x-6$[/tex]
r = -5
[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]
[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]
[tex]$=-5$[/tex]
x ≤ 12 Is x=3 a solution?
yes or no
Answer:
yes
Step-by-step explanation: :)
Answer: yes
Step-by-step explanation:
If Kyle makes a zero on his ELA finals, and it counts for .01% of his 90.8%, how much will Kyle’s grade drop?
—
please help i’m not sure how to do math like this
Answer:
9.2 %
Step-by-step explanation:
Given: 0 on finals, overall is 90.8, then 0.01%
To find: How much of Kyle’s grade dropped
Solve: First, calculate the percentage you received on the test by dividing your mark by the total marks.
Kyle scored 0 out of 100, then 0/100 = 0 percent.
Secondly, multiply your percentage score on the test by the percentage it is worth of the final grade.
0 × 90.8 = 9.2 %
9.2 % of the final grade
What is ten kilograms minus thirty gram?
Answer:
10kg-30g
10×1000g - 30g
(10000 - 30) g
9970g
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2/5 of the flowers in Veronica's garden are marigolds. If there are 55 flower plants in her garden, how many marigold plants does she have?
Answer:Veronica has 22 marigold plants
Step-by-step explanation:
Total Number of flower plants in her garden=55
fraction of flower plants which are marigolds=2/5
Number of flower plants which are marigolds=2/5 x Total Number of flower plants in her garden
=2/5 x 55
=22
Help me!! no links or i REPORT, I will do brainliest if there is more than one answer and if you explain it
Answer: 1/2
Step-by-step explanation: There is only heads and tails on a coin so if you flip it you have a 50 50 chance of it landing on tails because there are only two outcomes.
I need help on this one please
Answer:
C
Step-by-step explanation:
Tavon makes another box with height h inches from a piece of cardboard that meadures 12 inches by 12 inches
Answer:
[tex]Area = 4h^2-56h +144[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required: The base area.
From the question, we have the initial dimensions to be:
[tex]Length = 12[/tex]
[tex]Width = 12[/tex]
h inch were removed from each corner to form the new base. So, the dimension of the new base is:
[tex]Base\ Length = Length - h - h[/tex]
[tex]Base\ Length = Length - 2h[/tex]
[tex]Base\ Width = Width - h-h[/tex]
[tex]Base\ Width = Width - 2h[/tex]
The area of the base is calculated by multiplying the base dimensions
[tex]Area = Base\ Length * Base\ Width[/tex]
[tex]Area = [Length - 2h] * [Width - 2h][/tex]
[tex]Area = [12 - 2h] * [12 - 2h][/tex]
Expand
[tex]Area = 12[12 - 2h] -2h [12 - 2h][/tex]
[tex]Area = 144 - 28h -28h + 4h^2[/tex]
[tex]Area = 144 -56h + 4h^2[/tex]
Rewrite as:
[tex]Area = 4h^2-56h +144[/tex]
Please help!! Im super confused:(
Answer:
3 points
Step-by-step explanation:
3 is very different from the other numbers, so it is an outlier.
Answer:
3 points (Clearly because if you put it on a number line, this one would be far away from the other numbers)
equivalent to 0.13
?
Answer:
13/100 or 13% is equivalent to 0.13
Step-by-step explanation:
hope this helps
The temperature in Baku, Azerbaijan dropped over five hours from zero degrees Fahrenheit to negative fifteen degrees Fahrenheit. If the temperature dropped the same amount each hour, how much did the temperature change each hour?
A. -5
B. 5
C. 3
D. -3
What is the exact area of a regular hexagon with a side length of 8 cm? Enter your answer in the box. cm
Answer:
A≈166.28cm²
Step-by-step explanation:
A=[tex]\frac{3\sqrt{3} }{2} a^{2} = \frac{3 x \sqrt{3} }{2} x 8^{2} = 166.27688cm^{2}[/tex]
What is the value of the negative zero of the function g(x) = 3x2 + 14x - 5?
Answer: -5
Step-by-step explanation:
The value of negative zero in g(x) = 3x² + 14x - 5 is 1.
What is Descarte's rule of signs in a polynomial?Descarte's rule for no. of at most positive real roots in a polynomial is the no. of sign changes in the polynomial.
Descarte's rule for no. of at most negative real roots in a polynomial f(x) is the number of sign changes in f(-x).
All the other left over roots are imaginary and come in conjugate pairs.
The number of negative of f is equal to the number of sign changes of successive terms of f(-x).
Given, g(x) = 3x² + 14x - 5.
Now, g(-x) = 3(-x)² + 14(-x) - 5.
g(-x) = 3x² - 14x - 5.
The signs are +, -, - so only one sign changes.
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A bag is full of green pieces of paper and yellow pieces of paper. A player collects data by drawing pieces of paper from a bag. The player canl win the game if he can correctly predict the next color he will pull from the bag. Each player can choose to collect 5, 10, or 20 outcomes before making a prediction.
What number of outcomes should a player choose?
A)5
B)10
C)20
Please help me, thank you!
Answer:
the slope is -1.5
Step-by-step explanation:
Laney is making gift bags with pencils and candy bars.
The pencils come in packages of 12.
• The candy bars come in packages of 10.
• Each gift bag will have the same number of pencils.
• Each gift bag will have the same number of candy bars.
How many packages of each will Laney need to buy in order to have no candy bars or pencils left over?
O A. 12 packages of pencils, 6 packages of candy bars
OB. 5 packages of pencils, 10 packages of candy bars
O C. 6 packages of pencils, 5 packages
candy bars
O D. 5 packages of pencils, 6 packages of candy bars
Answer:
Choice D
Step-by-step explanation:
Choice A
12 x 12 = 144 pencils
6 x 10 = 60 candy bars
Choice B
5 x 12 = 60 pencils
10 x 10 = 100 candy bars
Choice C
6 x 12 = 72 pencils
5 x 10 = 50 candy bars
Choice D
5 x 12 = 60 pencils
6 x 10 = 60 candy bars
Can someone help me solve this
Answer:
BC=15.01
Step-by-step explanation:
tan(65) = x/7
x = 7 x tan(65)
x = 15.01
What is the value of x in the equation 0.7x – 1.4 = –3.5?
–7
–3
3
7
Answer:
0.7x - 1.4 =-3.5
+1.4 +1.4 Step one: add 1.4 to both sides to cancel out 1.4
0.7x = -2.1
---- ----- Step two: divide both sides by 0.7
0.7 0.7
x = -3 The answer is x = -3.
Answer:
B
Step-by-step explanation:
For the data shown in the scatter plot below, identify a point apart from the main cluster?
A (1, 4)
B (3, 5)
C (8, 7)
D(4, 7)
Answer:
C. (8, 7)Step-by-step explanation:
There are 2 points that are apart from the main cluster:
(8, 7) and (8.5, 7.5)One of them is included in the answer choices:
C. (8, 7)Which expression is equivalent to 11(3 + 10x)?
Answer:
33+ 110x
Step-by-step explanation:
open the bracket.
hope it helps!!!
(-x+3) - (x-5) ,.................,.,.,.,.,.,.,.,.......,.,.,.,..
Answer:
-2x+8
Step-by-step explanation:
(-x+3)-(x-5)
= -x+3-x+5
= -2x+8
What is the equation of the given line?
Answer:
y=0x+5
Step-by-step explanation:
Answer:
2,2gggffgigzrfgcf gg cyg
A line passes through the points(5,22) and (8,25) Write a linear function rule in terms of x and y for this line. The linear function rule is y = _____________
By visual inspection, determine the best-fitting regression model for the
scatterplot.
y
5
Pood
A. Exponential
B. Quadratic
C. No pattern
D. Linear
Answer:
The answer is Exponential
Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.
The correct option is A.
As per the given diagram,
the scatter plot shows an exponential function.
To determine the best-fitting regression model for a scatterplot that follows an exponential function, we need to use exponential regression. Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.
Therefore, an exponential regression model is appropriate.
To learn more about exponential;
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Find the solutions of this quadratic.
f(x)=(x-8)(x+4)
l
[tex]x1 = 8 \\ x2 = - 4[/tex]
A pet store is having a pet fish sale. Mrs. Smith bought koi and paid with a $50 bill. Write an algebraic expression to represent how much change Mrs. Smith got back.
The expression that represents the change Mrs. Smith got back is 50 - x dollars.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A pet store is having a pet fish sale.
let, the cost of the Koi fish is 'x' dollars.
Therefore, With a $50 bill change(C) Mrs. Smith got back is represented by the expression,
C = (50 - x) dollars.
So, The change Mrs. Smith got back is 50 - x dollars.
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which set of ordered pairs is a function?
Answer:
I believe the third option is correct!
{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}
Hope this helps!
Ms. Smith and Mr. Roberts are running a race. Ms. Smith runs 8, 305 feet. Mr. Roberts runs 2 miles. How many feet further does Mr. Roberts run? (Reminder: 1 mile = 5,280 feet)
Answer:
Mr. Roberts runs 2,255 more feet then Ms. Smith.
Step-by-step explanation:
So I took 5,280 + 5,280 = 10,560 so now I can just take Ms. Smith's 8,305 and subtract it from 10,560 which gave me 2,255 so Mr. Roberts runs 2,255 more feet then Ms. Smith.
1/8 quarters is how many gallons
Answer:
4 quarters in a gallon
Step-by-step explanation: