Answer:
its exponential because the parent function is y=(a)(b)^x
Step-by-step explanation:
Final answer:
The rule y = -3 ∙ 2ˣ defines an exponential function due to the term 2ˣ, where the base 2 is a constant raised to the variable power x, leading to a rapid change in y values as x changes.
Explanation:
The rule y = -3 ∙ 2ˣ represents an exponential function, not a linear function. In a linear function, the variable x is raised to the first power and appears in the form y = mx + b, where m and b are constants, and the graph is a straight line. In contrast, an exponential function is of the form y = a ∙ bˣ, where a and b are constants, and b is the base raised to the power of x.
The presence of the term 2ˣ indicates that as x increases, the value of y changes at an exponential rate. This is characterized by a curve that shows a rapid increase or decrease in value rather than a constant rate of change. Additionally, since the base b (which is 2 in this case) is a positive number other than 1, and it is raised to the power of x, this confirms the exponential nature of the function.
Choose the graph that represents the inequality |x + 1| + 2 < –1
Answer:
Its graph A on edge. Just took it!
Step-by-step explanation:
The graph that represents the inequality |x + 1| + 2 < –1 is at option 1. Since the equation has no solution (empty set), the graph does not get intersected.
What is the inequality equation?The inequality equation is the one that is true for some values of the variable. The inequalities may be greater than, less than, greater than or equal, or less than or equal.
Solving the given inequality:The given inequality equation is
|x + 1| + 2 < –1
⇒ |x + 1| +2 - 2 < –1 -2
⇒ |x + 1| < –3
So, (x+1) < -3 or (x+1) > -3
⇒ x < -4 or x > -4
This is not possible. So the solution set of the given inequality is empty.
So, the graph is shown for different expressions.
The expressions are considered as
f(x) = |x + 1| + 2 and y < -1
In option 1, the graph shows these two expressions. So, the correct representation for the given inequality is option 1.
Since there is no solution, they do not have any intersecting points in the graph.
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which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 -9y^4
A. -13y^4 + 3x^4 - 8x^2y^2 + x^3y + 9xy^3
B. -13y^4 + x^3y - 8x^2y^2 + 9xy^3 +3x^4
C. 3x^4 - 8x^2y^2 + x^3y + 9xy^3 - 13y^4
D. 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4
The polynomial that correctly combines the like terms and to express in standard form is Option (D) [tex]3x^{4} + x^{3}y - 8x^{2}y^{2} + 9xy^{3} - 13y^{4}[/tex] .
How to solve the given expression in standard form ?Given polynomial is -
= [tex]9xy^{3} - 4y^{4} -10x^{2}y^{2} + x^{3}y + 3x^{4} + 2x^{2}y^{2} - 9y^{4}[/tex]
Separating the like terms from the above polynomial -
= [tex]9xy^{3} + (-10x^{2}y^{2} + 2x^{2}y^{2})+ x^{3}y + 3x^{4}+( - 9y^{4} - 4y^{4})[/tex]
Expressing the polynomial in standard form -
= [tex]3x^{4} + x^{3}y - 8x^{2}y^{2} + 9xy^{3} - 13y^{4}[/tex]
Therefore the polynomial that correctly combines the like terms and to express in standard form is Option (D) [tex]3x^{4} + x^{3}y - 8x^{2}y^{2} + 9xy^{3} - 13y^{4}[/tex] .
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Which graph represents the equation y2=-4x?
Answer:
See attachment.
Step-by-step explanation:
The given equation is
[tex] {y}^{2} = - 4x[/tex]
We solve for x to obtain:
[tex]x = - \frac{1}{4} {y}^{2} [/tex]
This is a horizontal parabola that has its vertex at the origin.
The graph of this parabola opens in the direction of the negative x-axis because of the negative coefficient.
The focus is (-1,0) and the directrix is x=1
See diagram in the attachment.
Answer:
The answer is A
Step-by-step explanation:
Its just the other persons longer answer but simplified I guess..
The Hendricksons are in charge of bringing treats for 50 football players. They brought 3 coolers of popsicles and 2
coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat.
Which statement best predicts how many football players will get a popsicle?
Answer:
50(0.6)
Step-by-step explanation:
There are 5 coolers at the event - 3 popsicles, and 2 ice cream. If randomly selecting a cooler, that means there's a 3 in 5 chance you will get a popsicle, which simplifies to 0.6. So simply multiply the probability (0.6) by the amount of football players (50) to get the answer, which is that 30 football players will get a popsicle.
Answer: Close to 30 but not 30 will get a popsicle.
Step-by-step explanation:
Here 3 coolers so if it pick the 3 out of 5 so 3/5= 0.6
and 50 players so 50*0.6= 30 but its probability will be 30 but not exactly 30.
What is the rate of change of y=6x-10
slope =6, y-intercept =10
Answer:
The rate of change is 6
Step-by-step explanation:
The rate of change (which is also known as slope), is always the coefficient of x, when written in slope-intercept form. Therefore, in this case, it is 6.
A carpet remnant is shaped like a triangle. It has a height of 32 inches and a base of 8 inches. Write an equation to represent the area. Then find the area of the remnant
How many times does 80 go into 480
You just divide 480 by 80 to see how many times it can go into.
480/80 = 6
Therefore, 8 goes into 480 6 times.
Hopefully, that helps you.
It can go into it 6 times
The first and forth terms of a proportion are called the means.
Always
Sometimes
Never
Answer:
Never
Step-by-step explanation:
The first term (1st) and the fourth term (4th) of a proportion are called extreme terms or extremes, and the second term (2nd) and the third term (3rd) are called middle terms or means. Therefore, in a proportion, product of extremes = product of middle terms.Circle P has a circumference of approximately 75 in what is the approximate length of the radius R use 3.14 for pi round to the nearest inch
Answer:
Step-by-step explanation:
C = 2pir
75 = 2pir
75 / 6.28 = r
r = 12 inches
Answer:12
Step-by-step explanation:
C = 2pir
75 = 2pir
75 / 6.28 = r
r = 12 inches
Tickets to the Valentines dance cost three dollars per person or five dollars per couple if $475 with the tickets were sold at 180 people attended the dance how many couples were there
50 individuals bought single tickets and 65 couples bought couple tickets.
Let's define our variables first:
Let [tex]x[/tex] be the number of individuals who bought single tickets.
Let [tex]y[/tex] be the number of couples who bought couple tickets.
From the problem, we have two pieces of information:
The total number of people who attended the dance is 180.The total revenue from the tickets sold is $475.We can use these pieces of information to create the following system of equations:
[tex]x + 2y = 180[/tex]
[tex]3x + 5y = 475[/tex]
First, solve equation 1 for [tex]x[/tex]:
[tex]x = 180 - 2y[/tex]
Now, substitute this expression for [tex]x[/tex] in equation 2:
[tex]3(180 - 2y) + 5y = 475[/tex]
Simplify and solve for [tex]y[/tex]:
[tex]540 - 6y + 5y = 475[/tex]
[tex]540 - y = 475[/tex]
[tex]-y = 475 - 540[/tex]
[tex]-y = -65[/tex]
[tex]y = 65[/tex]
So there were 65 couples at the dance.
To find the number of individuals who bought single tickets, substitute [tex]y[/tex] back into the expression for [tex]x[/tex]:
[tex]x = 180 - 2(65)[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
A circular hot tub has a diameter of 6 feet. What is the approximate area of the base of the hot tub?
18 feet
27 feet
18 square feet
27 square feet
I think the answer is 27 square feet.
18 square feet, I believe.
Daisy has one cucumber that is 3 inches long and another cucumber that is 5 inches long. She cuts the cucumbers into 3/8 inch slices and adds them to a salad. How many 3/8 inch thick slices does Daisy have ?
Answer: There are 21 slices of [tex]\dfrac{3}{8}[/tex] inch.
Step-by-step explanation:
Since we have given that
Length of one cucumber = 3 inches
Length of another cucumber = 5 inches
Total length would be
3 + 5 = 8 inches
According to question, She cuts the cucumbers into [tex]\dfrac{3}{8}[/tex] inch slices and adds them to a salad.
so, Number of [tex]\dfrac{3}{8}[/tex] inch thick slices would be
[tex]\dfrac{8}{\dfrac{3}{8}}\\\\=\dfrac{8\times 8}{3}\\\\=\dfrac{64}{3}\\\\=21.33\\\\\approx 21[/tex]
Hence, there are 21 slices of [tex]\dfrac{3}{8}[/tex] inch.
What is the following quotient? 3 sqrt 60 / 3 sqrt 20
Answer:
[tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
Answer:
[tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
The given radical is
[tex]\frac{\sqrt[3]{60} }{\sqrt[3]{20} }[/tex]
We give the two radicals a common radical to obtain;
[tex]\sqrt[3]{\frac{60 }{20}}[/tex]
Divide the expression under the common radical.
[tex]\sqrt[3]{3}[/tex]
The correct choice is A.
A fair number cube ,labeled with 1 through 6 is rolled four times .What is the probability of rolling a 6 all four times ?
Answer:
1/1296
Step-by-step explanation:
Assuming that the probability of rolling a number is the same (1/6), all we have to do it multiply 1/6 by 4 (the number of times you roll the dice).
So 1/6 * 1/6 * 1/6 * 1/6 is just 1/6^4 and 6^4 is 1296.
Therefore the probability of rolling a 6 4 times in a row is 1/1296.
find the total cost if Tools Plus company makes 330 drills?
need help asap
Each drill takes $44 in materials and $36 in labor. So it costs the company ($44+$36)= $80 to MAKE one drill. THEN they're ready to sell it.
At the same time, the company has to pay $4,000 just to use the building to make the drills.
I can see at least two different questions here:
Question #1). How much does it cost the company if they MAKE 330 drills in one month ?
Materials and labor: 330 x ($80) = $26,400
Rent the building space: $4,000
Total for the month: $30,400
Question #2). How many drills do they have to SELL just to pay back the amount they already spent to manufacture those drills ?
We can't answer that right now, because we don't know the PRICE they charge for each drill when somebody buys it.
What set of equations can be used to find the product of 8,043 and 9
Answer:
Let
x = number 8043
y = number 9
z = the product of 8043 and 9
z = x*y
We substitute
z = (8043)*(9)
z = 72387
Find the slope of the line whose equation is 5y = x - 3.
A.-3
B.-3/5
C.1/5
D.5
The answer is c. 1/5
[tex]\bf 5y=x-3\implies y=\cfrac{x-3}{5}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x-\cfrac{3}{5}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Margarito is drawing diagrams of a work system and wishes to show some of his calculations in a presentation to his colleagues. However, he has room only to show his numbers to the thousandths place.
Answer:
He can show his numbers only to the thousandths place.
This means with only three decimals
a) 2.3587
Needs to be rounded
2.359
b) 3/8 = 0.375
Doesn't need to be rounded
c) 4*π = 12.5663
Needs to be rounded
12.566
d) 10/9 = 1.111111
Needs to be rounded
1.111
e) 9/10 = 0.9
Doesn't need to be rounded
f) 15/4 = 3.75
Doesn't need to be rounded
The rectangle shown in dilated by a scale factor of 4. Please answer (a) thank you
Answer:
The dimensions of the dilated image are 60 cm by 32 cm
Step-by-step explanation:
we know that
The scale factor is equal to 4
The scale factor is > 1 -----> therefore the dilation is an enlargement
To find the dimensions of the dilated image, multiply the original dimensions by the scale factor
New Length=(15)(4)=60 cm
New Width=(8)(4)=32 cm
The dimensions of the dilated image are 60 cm by 32 cm
what the slope for (-2,-5),(2,-3)
Answer:
[tex]\large\boxed{slope=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-2, -5) and (2, -3). Substitute:
[tex]m=\dfrac{-3-(-5)}{2-(-2)}=\dfrac{-3+5}{2+2}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
how many yards are in 150 inches?
Answer:
50 yards
Step-by-step explanation:
Yards are 3 feet. This is a simple question, all you have to do is 150 divided by 3 and you shall receive 50 yards. Hope this helps!
Please I need help ASAP
I think the answer is 0.62
Answer:
D. 0.53
Step-by-step explanation:
From the given picture, the number of persons from California and prefers brand A = 90
The total numbers of persons prefer brand A = 170
The probability that the person is from California, given that the person prefers brand A will be :-
Hence, The probability that the person is from California, given that the person prefers brand A = 0.53
Which point on the number line shows the graph of -5/4?
Answer options: C, A, H, G
C because -5/4 is equal to 1.25
ANSWER
point C
EXPLANATION.
[tex] - \frac{5}{4} = - 1.25[/tex]
-1.25 is less than -1 but greater than negative -2.
On the number line, -1.25 is closer to -1 than to -2.
From the graph, point C is between -2 and -1 but closer to -1.
Therefore
[tex] - \frac{5}{4} [/tex]
is represented by point C on the number line .
Find the eighth term of the sequence 5,3,-1,-7,-15
Hope this will help you 2(-15)-1=-31
By using the formula [tex]a_n= -n^2 + n+ 5[/tex]. The eighth term of the sequence 5,3,-1,-7,-15... is -51.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
We will use the formula to identify the sequence
here, [tex]a_n= -n^2 + n+ 5[/tex]
where n is the number of terms
So,
[tex]a_8= -8^2 + 8+ 5\\\\a_8 = -64 + 13\\\\a_8 =-51[/tex]
Thus, The eighth term of the sequence 5,3,-1,-7,-15... is -51.
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how describe a shape of a graph
You can describe them by Charts and lines or if it has a single peak
The shape of graphs can vary and be influenced by the number of bars. Understanding general graph shapes is key to interpreting data.
Explanation:The shape of a graph can vary depending on the data being represented. It could have a V shape, a hump in the middle or at either end, or go straight across.
Increasing the number of bars in a graph could affect the shape by making it appear smoother and more continuous or by providing more detailed information.
General shapes of graphs for different types of motion can help in understanding and explaining the data being presented.
A bakery has 56 donuts and 32 muffins for sale. What is the ratio of muffins to donuts?
A.
7 to 4
B.
4 to 1
C.
4 to 7
D.
1 to 4
Answer:
Answer C. 4 to 7
Step-by-step explanation:
32 muffins to 56 donuts.
32/8=4 and 56/8=7
So it reduces to 4 to 7
4 to 7
i just divided each number by the smallest common factor which was 8
!!! I NEED HELP SO I RAISED THE POINTS TO 23!!!! AND WILL GIVE BRAINLIEST !!!!! THANK YOU :)
what is the 52nd term in the sequence:
9, 12.5, 16, 19.5, 23, . . . . . .
Answer:
182
Step-by-step explanation:
12.5 - 9 = 3.5
3.5 times 52 = 182
What percent of 20 is 40
Answer: " 200 % . "
___________________________________________________
" 20 " is: " 200 % " of: "40 ."
___________________________________________________
Step-by-step explanation:
___________________________________________________
(n/100) * 20 = 40 ; Solve for "n" ;
Note that: percent = per "100" ; thus "(n/100)" ;
Divide each side of the equation by: "20" :
(n/100) * 20 ÷ 20 = 40 ÷ 20 ;
to get:
(n/100) = 2 ;
Multiply each side of the equation by "100" ; to get rid of the "fraction" ;
and to isolate "n" on one side of the equation ;
and to solve for "n" ;
(n/100) * 100 = 2 * 100 ;
to get:
n = 200 ;
The answer is: 200 % .
___________________________________________________
" 20 " is: " 200 % " of: "40 ."
___________________________________________________
Hope this helps!
Best wishes to you in your academic pursuits
— and within the "Brainly" community!
___________________________________________________
There is 200% of number 20 is, 40
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We can assume that,
x% of 20 is, 40
Hence, We can formulate;
⇒ x% of 20 = 40
Solve for x;
⇒ x/100 × 20 = 40
⇒ x / 5 = 40
⇒ x = 40 × 5
⇒ x = 200
Thus, There is 200% of number 20 is, 40
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What is the measure of < B?
Answer:
56
Step-by-step explanation:
The angular sum of a triangle is 180 and we know 2 angles so we just add them together and subtract that from 180 for the last angle measure.
90+34 = 124
180-124=56
I need help , please show work .
Answer:
The answer is 600
Step-by-step explanation: