Answers
Answer:
b. the slopes of both functions are positive
Step-by-step explanation:
hope this helps :)
Answer:
C. The slope of function A is positive and the slope of function B is negative.
Step-by-step explanation:
For this problem, you need to determine the slope of each function.
For function A:
You're given y = (1/4)x - 2/3, which is in slope-intercept form y = mx + b. The slope of an equation in slope intercept form is given by m.
So the slope for function A is 1/4.
For function B:
You're given a list of (x, y) points, so use the definition of the slope = [tex]\frac{y2-y1}{x2-x1}[/tex], which gives you the slope from any two (x, y) points on the line. Let's take the first and second points (2, -8) and (4, -9)
Slope = [tex]\frac{-9-(-8)}{4-2} = \frac{-1}{2}[/tex].
Therefore, the slope of function A is positive and the slope of function B is negative.
Related Questions
Work out
(8×10^-2)−(4×10^-4)
Give your answer in standard form.
Answers
Answer:
7.96 x 10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].
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, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].
[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].
[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].
[tex]= \frac{80 - 4}{10000}[/tex].
[tex]= \frac{76}{10000}[/tex].
[tex]= \frac{38}{5000}[/tex].
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What is the total area of the figure below?
Answers
so for the triangle part we need to substitute each part for the formula (6x8)/2 which is equal to= 24inch^2. While for the trapezoid substituted would end up like this: ((16+10)/2)(9) which equals to 117 inch^2
yo get the total area we need to add both of them and it would end up being 117inch^2 + 24inch^= 141 inch^2
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answers
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
The radius of a circle is 7 inches. What is the circle's area?
r=7 in
Use 3.14 for .
square inches
Answers
Answer:
153.86
Step-by-step explanation:
3.14 x (7x7) = 153.86
The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit
Answers
Answer:
452.16 ft²
Step-by-step explanation:
Area = πr² = π(12)² = 144π = 452.16 ft²
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
Answers
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
May I have help to figure out how to do this? It is confusing! :(
Answers
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
Solve for the value of a in the triangle below. Round your answer to the nearest tenth
Answers
Answer:
........................
O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?
Answers
Answer:
x=48
Step-by-step explanation:
Exam
The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.
Answers
Answer:
4212 square feet.
Step-by-step explanation:
If the blueprint's scale is 1 inch : 9 feet.
Square both sides
(1in)² = (9ft)²
1in² = 81ft²
Given the gym's area as 52 square inches, hence;
52in² = x
Divide both expressions
1/52 = 81/x
x = 52 * 81
x = 4212ft²
Hence the area of the actual gym is 4212 square feet.
There are 6 marbles in a bag. are blue and 2 are red. What is the probability of
drawing 4 marbles that are all blue?
Answers
3 is to 2 is the probability of drawing 4 marbles that are all blue.
Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!
Answers
Answer:
Step-by-step explanation:
V=H x W x L so 11.25= H (1.5) (2); 3H=11.25 so the height of one box is 3.75’
To find the volume of 5 stacked boxes multiply the volume of one box by 5.
5(3.75 x 1.5 x 2) which is 20.25 cubic feet.
Between 0900 and 10 30, a man walks a distance of 27 km. What is his average speed in km/h?
Answers
Answer:
18
Step-by-step explanation:
0900 to1030 is 1.5 h
Take 27/1.5
Then you will get the answer
-3(8n+10)
distributive property
Answers
5/4 in factional form
:Renita's Bike Ride
Renita is riding her bike to school. It takes her 5 minutes to
travel half of a mile.
Answers
Answer:
Okay well if you need to find mph she is going 10 mph
Step-by-step explanation:
1/2+1/2= 1 mile in 10 min, multiply both sides by 6 and you get 1 mile = 60min
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answers
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
i need help plz :( i don’t understand
Answers
aeo
What is the surface area of the cylinder with height 3 km and radius 6 km? Round
your answer to the nearest thousandth.
Answers
Answer:
339.290
Step-by-step explanation:
by using the formula for surface area of cylinder that is 2πrh+2πr^2
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answers
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
Please answer this math question for me
Answers
Answer:
Hello!! answer: a = 45
Step-by-step explanation:
This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!
Answer:
a = 45
Step-by-step explanation:
The total angle of the shape is 90°
That means you should subtract 90° from 45°
90 - 45 = 45
That's your answer!
Hope this helped :)
Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed, and the diameter of the tire is 3 feet.
Which rule could model the height of the nail from the ground?
a) f(x)=1.5cos(16πx)+1.5
b) f(x)=1.5cos(16πx)−1.5
c) f(x)=3cos(16πx)+3
d) f(x)=16πcos(1.5x)+3
Answers
Answer:
f(x)=1.5cos(16πx)+1.5
(Question on a Quiz was correct)
The trigonometric equation is f ( x ) = 1.5cos ( 16πx ) + 1.5 , when x = 3 feet , the height of the nail from the ground is 3 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric equation be represented as A
Now , the value of A is
f ( x ) = 1.5cos ( 16πx ) + 1.5
Let the diameter of the tire be x
Let the height of the nail from ground be f ( x )
On simplifying , we get
when x = 3 feet
f ( 3 ) = 1.5 cos ( 16π ( 3 ) ) + 1.5
f ( 3 ) = 1.5 cos ( 48π ) + 1.5
From the trigonometric relation cos ( nπ ) = 1
f ( 3 ) = 1.5 + 1.5 = 3 feet
Hence , the height of the nail from the ground is given by the equation with f ( x ) = 1.5cos ( 16πx ) + 1.5
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Please help with this one too??
Answers
Answer:
21979
Step-by-step explanation:
21979 = 11(1997)+12
Please help me with full calculations
Answers
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
Help me with this please!!!!!!!
Answers
Answer:
The answer is 8.54
Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3
Answers
Answer:
no
Step-by-step explanation:
n ≥ - 1
The inequality states that n is greater than or equal to - 1
To show the equal part on the number line the point at - 1 must be a solid circle, not an open one
No, the given number line does not represent the number line shown by Charles.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The inequality is given by Charles,
n ≥ -1
But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.
Thus, the given number line does not represent the number line shown by Charles.
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х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20
Answers
Answer:C 3/5
Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math
hello please help i’ll give brainliest
Answers
Answer:
Option B) His teachings became government philosophy.
A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?
Answers
explanation:
100-32=68
14.5(.68)
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answers
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
Which one is an example of an expression?
Answers
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer