Answers
Related Questions
Which best describes the graph of the function f(x) = 4(1.5)x?
A.The graph passes through the point (0, 4), and for each increase of 1 in the Bx-values, the y-values increase by 1.5.
B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
C.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.
D.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.
Answers
B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
Final answer:
The function f(x) = 4(1.5)^x passes through the point (0, 4), and for each unit increase in x-values, the y-values are multiplied by a factor of 1.5, not just increased by a fixed amount.
Explanation:
The function f(x) = 4(1.5)^x describes exponential growth, where the base of the exponent is greater than 1. Thus, the graph of f(x) is not a straight line but an exponential curve. Evaluating the function at x=0 gives us f(0) = 4(1.5)^0 = 4, confirming the graph passes through the point (0, 4). For each increase of 1 in the x-values, the y-values are multiplied by 1.5, not merely increased by 1.5 or 4, consistent with the properties of an exponential function. Therefore, the correct answer is that the graph passes through the point (0, 4), and for each unit increase in x-values, the y-values increase by a factor of 1.5, correlating with option B.
If cos70 = 0.342, give another angle whose cosine is 0.343
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The another angle whose cosine is 0.343 is -70.789 degrees.
Given that,
cos(70) = 0.342
We can use the fact that cos(x) = cos(-x) to find another angle whose cosine is 0.343.
Now
⇒ cos(x) = 0.343
⇒cos(-x) = cos(x)
= 0.343
Now, we need to find -x.
⇒ cos(-x) = 0.343
Taking inverse cosine on both sides, we get:
⇒ -x = arcos(0.343) we get,
⇒ -x = 70.789
Therefore, x = -70.789
Hence, another angle whose cosine is 0.343 is -70.789 degrees.
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Bonnie filled her car’s tank. She put in 10 1/2 gallons and paid $15.26. Determine the cost of gasoline per gallon.
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Write 5 3/8 as an improper fraction.
15/8
43/8
23/8
53/8
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8 x 5=40
Add 3 to 40 that will be 43
So you have 43/8
The answer is 43/8
Hope that helped. Have a nice day
rewrite the standard form equation below into slope-intercept form. x-2y=3 A. y=x+3 By=-3/2x-1/2 C.y=3/2x-1/2 D.y=1/2x-3/2
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[tex]x-2y=3 \ \textgreater \ \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides} \ \textgreater \ x-2y-x=3-x [/tex]
[tex]-2y=3-x \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-2 \ \textgreater \ \frac{-2y}{-2}=\frac{3}{-2}-\frac{x}{-2}[/tex]
[tex]\frac{-2y}{-2} \ \textgreater \ \mathrm{Apply\:the\:fraction\:rule}:\ \frac{-a}{-b}=\frac{a}{b} \ \textgreater \ \frac{2y}{2}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1 \ \textgreater \ y[/tex]
[tex]\frac{3}{-2}-\frac{x}{-2} \ \textgreater \ \mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c} \ \textgreater \ \frac{3-x}{-2} [/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\ \textgreater \ -\frac{-x+3}{2} \ \textgreater \ y = -\frac{3-x}{2}[/tex]
[tex]Therefore... y=\frac{1}{2}x-\frac{3}{2} (Note: m=\frac{1}{2},\:b=-\frac{3}{2}) [/tex]
M is the slope and b is the y intercept.
Hope this helps!
Determine f(2) where f(x)= x+1/4x-2
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F(2)=3/6
F(2)= 1/2
Your company gives you a cell phone plan which allows you 600 minutes to talk per month. So far this month, you have used 330 minutes and you have 10 days left on this month's plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don't go over your monthly plan minutes?
A.)10x+330≥600
B.)10x+330>600
C.)10x+330≤600
D.)10x+330<600
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We use the ≤ since you are allowed to use the 600th minute.
When we subtract 330 from both sides, it makes a bit more sense
10x ≤ 270
270 is the number of minutes left your plan since you've already used 330, and you have 10 days left in the month.
Find the sum of each group of numbers. You may add the numbers in any order. Then, check your work by adding the numbers again in a different order. a. 110, 83, and 328 b. 92, 37, 14, and 66 c. 432, 11, 157, and 30
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1. 110 + 83 + 328 = 521
2. 92 + 37 + 14 + 66 = 209
3. 432 + 11 + 157 + 30 = 630
It does not matter how much you re-arrange the numbers in each group, you will keep arriving at the same answers, this is because the sum of a particular set of numbers will always remain the same.
Answer:
1. 110 + 83 + 328 = 521
2. 92 + 37 + 14 + 66 = 209
3. 432 + 11 + 157 + 30 = 630
which of the following is a factor of 15x2-14x-8
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There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days? A. 6y = 2x B. y = 6x + 2 C. y=16x+2 D. y = 2x + 6
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Answer:
D. y = 2x + 6
Step-by-step explanation:
The amount of quarters that there´s in the jar is expressed by the letter "Y".
We know the jar had already 6 quarters.
Jill adds 2 quarters to the jar everyday, the number of days Jill does this will be represented by the letter "X", because it´s our variable.
What remains constant is that we started with 6 quarters and Jill deposits 2 more every day
Number of quarters in the jar "Y"= (Number of quarters deposited) 2*(number of days)X + (Number of quarters already in the jar) 6.
Y= 2x+6
Find the “missing terms” in the polynomial problems. Answers will have multiple terms.
1. (c^3 + c^2 - 5) + ( ) = c^2 + 2c - 7
2. (2d^2 + d) - ( ) = - d^3 + 3d - 1
3. ( ) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x
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2. (2d^2 + d) - (d^3 + 2d^2 - 2d + 1) = - d^3 + 3d - 1
3. ( 3x^4 + x^3 - 4x^2 + x - 3) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x
How many solutions does the equation have?y+7=y–3many solutions1 solutionno solutions?
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Subtract y on both sides, giving you...
7= -3
Which is false
What is the slope of the line represented by the equation –5x+2y= 10 ?
–52
–25
25
52
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y = 5/2 x + 10 slope: 5/2
Step-by-step explanation:
The ratio of red pens to black pens is 3:2. What fraction of the pens are red
Answers
Answer:
1/4
Step-by-step explanation:
3/12 simplified is 1/4.
Determine the value of r so the line passing through each pair of points has the given slope
(6,3) (r,2), m=1/2
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[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{1}{2}=\frac{2-3}{r-6}[/tex]
[tex](r-6)=2(-1)[/tex]
[tex]r-6=-2[/tex]
[tex]r=4[/tex]
An investment doubles in value every 9 years. What was the starting value of the investment if it is worth $4800 after 27 years.
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If Jeremy walks 2 miles in 74 minutes, then how far will Jeremy walk in 84 minutes?
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To find how far Jeremy will walk in 84 minutes, set up a proportion relating time and distance covered.
To find the distance he walks in 84 minutes, you can set up a proportion: 2 miles / 74 minutes = x miles / 84 minutes.
Solving for x, Jeremy will walk approximately 2.27 miles in 84 minutes. Jeremy walks at a speed of 2 miles in 74 minutes.
Determine the slope of the graph of x3 = ln(xy) at the point (1, e).
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The slope of the graph of x^3 = ln(xy) at the point (1, e) is 2e. This is found by taking the derivative of the equation to find a formula for the slope at any point, and then substitifying the given point into that formula.
Explanation:To determine the slope of a graph of the equation x3 = ln(xy) at a specific point, we need to take the derivative of the equation, which gives us the slope at any point. Given the equation x^3 = ln(xy) and the point (1, e), first we can take the derivative implicitly.
Using the chain rule and the fact that the derivative of ln(x) is 1/x, we have 3x2dx = (1/y + x/y')dx. Simplifying this gives y' = (3x2y - 1)/x, which is the derivative of the equation and represents the slope at any given point.
Substituting x = 1 and y = e into the equation of the derivative, we get y' = (3.1e - 1)/1 = 2e, so the slope at the point (1, e) is 2e.
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y=10x+16 looks like what on a graph
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Find the missing term of the following sequence. . . . –45, __, –12, . . .
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So the answer is -28.5
I'm stuck on trying to get X
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This will simplify to x=45.
In this case, these two angles are Alternate Interior Angles, which we know are congruent.
Because they are congruent, they will be the same angle. In other words, they will equal each other.
So we can set this problem up as an equation and solve for x:
3x-50 = 2x-5
3x-50+50 = 2x -5 + 50
3x = 2x + 45
3x - 2x = 2x -2x + 45
x = 45
ANSWER:
X= 45
Now find the angles accordingly.
3(45) - 50 = 85
2(45) - 5 = 85✔️
Everything checks out.
I need the answer for 9
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Set that expression equal to 1800 and solve for n, the number of sides.
180(n - 2) = 1800
Divide both sides by 180
n - 2 = 10
Add 2 to both sides
n = 12
The polygon has 10 sides.
so you can use this to find out how many sides of this polygon
(n-2) × 180° = 1800
n - 2 = 10
n = 12
this polygon has 12 sides
What number gives a result of -5 when 11 is subtracted from the quotient of the number and 6?
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Final answer:
The answer explains how to find a number from an equation involving subtraction and division, providing step-by-step instructions.
Explanation:
To find the number that gives a result of -5 when 11 is subtracted from the quotient of the number and 6, we can create an equation:
Let the number be x.
The equation becomes: x/6 - 11 = -5
Solve for x:
Add 11 to both sides: x/6 = 6
Multiply both sides by 6: x = 36
Therefore, the number is 36.
That is the screen shot for questions 5.
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f(x) = x^4+7
y = x^4+7
x = y^4+7
y^4 = x-7
y = FourthRoot(x-7)
[tex]y = \sqrt[4]{x-7}[/tex]
53 plz help me with this
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3 large beads cost 2.50 * 3 = 7.50
30-7.50 = 22.50
20-7.50 = 12.50
so they can spend between 12.50 and 22.50 on small beads
12.50 / 1.25 = 10
22.50/1.25 = 18
can buy between 10 and 18 small beads
1.25x >=12.50 and 1.25x<=22.50
What is the slope of this graph?
1/4
--4
--1/4
4
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Answer:
4
Step-by-step explanation:
the last one I think
The slope of the graph is indeed 4.
You can find the slope of a line by using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where m is the slope, (x₁, y₁) and (x₂, y₂) are any two points on the line.
In the given graph, two points are clearly marked: (0, 0) and (10, 40). Plugging these points into the formula, we get:
m = (40 - 0) / (10 - 0) = 40 / 10 = 4
Therefore, the slope of the graph is 4. So the answer is d. 4.
Which logical form represents this statement?
Either it is not cold today or i am wearing woolen coat.
p: It is cold today.
q: I am wearing woolen coat.
~p ∧~q
~p ∧ q
~p ∨ q
~(p∨ q)
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That's what I put for my answer.
Answer:
The correct answer is:
~p ∨ q
Step-by-step explanation:
p: It is cold today.
q: I am wearing woolen coat
~p: It is not cold today
V represents either...or...
Hence, ~p V q represents:
Either it is not cold today or i am wearing woolen coat.
Hence, the correct option is:
~p ∨ q
Which is best definition of contrapposto?
a. an active pose
b.an s-shaped pose
c. a block-shaped pose
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The answer is an s shaped pose. Contrapposto is an Italian word that means counterpose. It is practiced in visual arts to depict a human figure standing with the majority of its heaviness on one foot so that its shoulders and arms curl off in an axis from the hips and legs forming a letter s.
I just finished the quiz the answer is B. an S-shaped pose
The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up a car with gasoline with 9 gallons of gasoline. What is the constant of variation?
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((Use the graph shown below to fill in the blank.))
If (4, y) is an ordered pair of the function, then y = a0.
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Draw a vertical line (see side note below) through 4 on the x axis. I've done so in red (see attached image). The red line crosses the graph at the point (4,1) so this tells us that y = 1
Answer: y = 1
Side Note: you don't have to draw a vertical red line but it's handy to see how it works out. After you get used to these types of problems, you can visually be able to see the answer without these extra lines.
If (4, y) is an ordered pair of the function, then value of y = 1.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
(4, y) is an ordered pair of the function.
Now, The point (4, y) has a known x coordinate of x = 4.
For the value of y at x = 4,
Draw a vertical line through 4 on the x axis.
Then, The vertical line crosses the graph at the point (4, 1).
Thus, The value of y is 1.
Thus, If (4, y) is an ordered pair of the function, then value of y = 1.
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