The true statement about the end behaviour of the described function is the fourth option;
As the x–values go to positive infinity, the function's value go to positive infinity What is the end behaviour of a function?The end behaviour of a function is the description of the shape of the function's graph towards the left and right extremities of the x–axis
The points on the graphed function, obtained from the description are;
Minimum point; (-1.25, -3.25)
Maximum point; (0.25, -1.75)
x–intercept; (-2.25, 0)
y–intercept; (0, -2)
Exit points of the graph on the plane; (-2.75, 6), and (1.5, 6)
Arranging the above points with respect to their location on the x–axis gives;
(-2.75, 6), (-2.25, 0), (-1.25, -3.25), (0, -2), (0.25, -1.75), (1.5, 6)
Observing the y–values indicates that the y–values decreases in the region; -2.75 ≤ x < -1.25, and the y–values increases in the region; -1.25 < x ≤ 1.5
Which gives;
The turning point on the graph are the points (-1.25, -3.25) and (0.25, -1.75)
However, as the x–values increases towards+1.5, the y–value increases to 6
The correct option is therefore;
As the x–value go to positive infinity, the function value goes to positive infinity
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Answer:
its A
Step-by-step explanation:
Find the Simple Interest Rate
on a 3-month loan of $5000 if the maturity value of the
loan is $5125.
keeping in mind that a year has 12 months, thus 3 months will just be 3/12 of a year, so
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5125\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ 5125=5000[1+(\frac{r}{100})(\frac{1}{4})] \implies \cfrac{5125}{5000}=1+\cfrac{r}{400}\implies \cfrac{41}{40}=\cfrac{400+r}{400} \\\\\\ 410=400+r\implies \boxed{10=r}[/tex]
Find the total surface area of this cuboid.
5 cm
4 cm
6 cm
Answer:
148cm^2
Hope this helps :))
262, 257, 252, ...
Find the 37th term.
Answer:
a₃₇ = 82
Step-by-step explanation:
there is a common difference between consecutive terms , that is
257 - 262 = 252 - 257 = - 5
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference ,
here a₁ = 262 and d = - 5 , then
a₃₇ = 262 + (36 × - 5) = 262 - 180 = 82
The temperature Monday morning was -12 degrees.by afternoon,the temperature had risen a few degrees.which of the following could be the temperature?
The temperature Monday morning was -12 degrees and by afternoon, the temperature had risen a few degrees, which means the some temperature has been added, so c. -10 degree Celsius is the right option.
What is temperature?Temperature is a measure of hotness or coldness expressed in terms of any number of arbitrary scales. It shows the direction in which heat energy will spontaneously flow, i.e., from a hotter body (one with a higher temperature) to a colder body (one at a lower temperature).
A burning match is much hotter than an iceberg, but an iceberg has much more total heat energy than a match does. Temperature is not the same as the energy of a thermodynamic system.
Similar to pressure or density, temperature is referred to as an intensive property—one that is independent of the quantity of matter being considered—as opposed to extensive properties, like mass or volume.
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Full question
The temperature Monday morning was -12 degrees.by afternoon,the temperature had risen a few degrees.which of the following could be the temperature?
a. -15 degrees
b. -12 degree
c. -10 degree
d. -14 degree
Write the statement "the sum of a number and 12.6 is more than −3.5" as an inequality.
−3.5 + b ≥ 12.6
−3.5 + b < 12.6
b + 12.6 > −3.5
b + 12.6 ≤ −3.5
The inequality for the expression about the sum will be C. b + 12.6 > -3.5.
What is an inequality?It should be noted that an inequality shows the relation between two expressions which we got equal.
In this case, let the number be given as b. Note that sum means addition. In this case, you will add b and 12.6.
Now, it was also stated that the addition is more than -3.5. This means it's greater than and the sign is >.
Therefore, the inequality will be:
= b + 12.6 > -3.5
Note that > means greater than.
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I really need help on this asp it would mean a lot
The angle at which your friend is waving at you is calculated to be 11.31° using tan theta.
What does "trigonometric function" refer to?The simplest definition of a trigonometric function is the function of an angle in a triangle, also known as a circular function. These trigonometric functions provide the relationship between the angles and sides of a triangle.Given:
Opposite side of the triangle = 1000 m
Adjacent side of the triangle = 5000 m
We need to determine at what angle was your friend looking at you.
We know that,
tan ∅ = Opposite side/Adjacent side
= 1000/5000
= 0.2
∅ = 11.31°
Therefore, the angle at which your friend is waving is waving at you is found to be 11.31° .
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A,B and C are the vertices or a triangle.
A has the coordinates (4,6).
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
You must show each stage of your working.
Answer:
The slopes of DE and BC are the same: 0.5. The two lines are therefore parallel.
Step-by-step explanation:
See the attached graph, made in DESMOS.
The midpoints D and E may be determined by taking the average values of x and y that form the endpoints of lines AB (midpoint D) and AC (midpoint E):
Midpoint Endpoint1 Endpoint 2 Midpoint
D A(4,6) B(2,-2) D(3,2) [(4+2)/2 =3 and (6-2)/2 = 2]
E A(4,6) C(-2,-4) E(1,1) [(4-2)/2 =1 and (6-4)/2 = 1]
If DE is parallel to BC, both lines must have the same slope. Find the slopes for DE and BC by calculating the Rise/Run (the change in y over the cahnge in x):
Slope of DE: Rise = (2-1) = 1, Run = (3-1) = 2. Slope = (1/2) or 0.5
Slope of BC: Rise = (-2-(-4)) = 2, Run = (2-(-2)) = 4. Slope = (1/2) or 0.5
The slopes of DE and BC are the same: 0.5. The two lines are therefore parallel.
7. Which point is closest to -12 on the number line?
A. -47/4
B. -39/3
C. 23/-2
D.-39/-3
Answer:A
Step-by-step explanation:
Answer:
The answer to this is
Step-by-step explanation:
A, I just got done with the test if not then D.
Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?
Responses
y−1=67(x−3)
y minus 1 equals fraction 6 over 7 end fraction left parenthesis x minus 3 right parenthesis
y+1=65(x+3)
y plus 1 equals fraction 6 over 5 end fraction left parenthesis x plus 3 right parenthesis
y+3=76(x+1)
y plus 3 equals fraction 7 over 6 end fraction left parenthesis x plus 1 right parenthesis
y+1=67(x+3)
Answer:
B, second response
Step-by-step explanation:
Answer:
The slope of a function is the process of finding the rate of change of the value y (dependent variable) of the function changes with respect to that of the variable x (independent variable). The slope itself describes the direction and steepness of the line.
the slope (m) is (5 - -1) / 4 --3 = 6/7
Putting in the equation:
y - y1 = (6/7)(x - x1)
putting, y1= -1, x1= -3
y - -1 = (6/7)( x - -3)
y + 1 = 6/7(x + 3)
Answer is the letter B
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Answer: B
K12 fr fr fr
The length of a rectangle
is two times the width of the rectangle.
The perimeter of the rectangle is 24 cm.
Draw the rectangle on the centimetre grid.
The diagram of the rectangle is attached where the length and the width are is 8cm and 4 cm
How to draw the rectangle?From the question, we have the following parameters that can be used in our computation:
The length of a rectangle is two times the width of the rectangle.The perimeter of the rectangle is 24 cm.The above parameters imply that
L = 2W
P = 2(L + W)
Where L represents the Length and W represents the width
The perimeter is given as 24
So, we have
2(L + W) = 24
So, we have
L + W = 12
Substitute L = 2W in L + W = 12
2W + W = 12
Evaluate
3W = 12
Divide by 3
W = 4
Substitute W = 4 in L = 2W
L = 2 * 4
Evaluate
L = 8
This means that the length of the rectangle is 8 cm and the width of the rectangle is 4 cm
See attachment for the rectangle
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Which ordered pair is the best estimate for the solution to the system?
The ordered pair that is the best estimate for the solution to the system is (0.5, -3.5)
Ordered Pair:
An ordered pair refers to a set of two numbers used to locate a point in a coordinate plane. Here the first point refers the x - coordinate and the second value represents the y - coordinate.
Given,
Her we have the equations,
3x - 8y = 29
3x + y = -2
Now, we need to find the solution of the system.
Here we have to use the substitution method in order to solve this one.
For that, we have to rewrite the second equation as,
y = -2 - 3x.
Now, we have to apply the value of y on the equation (1), then we get,
3x - 8(-2 - 3x) = 29
3x + 16 + 24x = 29
27x = 29 - 16
27x = 13
x = 13/27
x = 0.5
When we apply the value of x into the equation, then we get the value of y as,
y = -2 - 3(0.5)
y = -2 - 1.5
y = -3.5
Therefore, the solution of the system is (0.5, - 3.5).
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How many ounces of a 4% acid solution and how many ounces of a 10% acid solution must be mixed to make 24oz of a 6% acid solution
a = acid solution 4%
b = acid solution 10%
a + b = 24
0.04*a+0.1*b=0.06*24
a=24-b
0.04*(24-b) + 0.1*b = 1.44
0.96 - 0.04b + 0.1*b = 1.44
0.06*b = 0.48
b = 8 oz
a=24-b
a = 24 - 8
Y=x+5 so what is the value of the function when x=4
Answer:Y=9
Step-by-step explanation:
If y=x+5 and x=4 then it would be y=4+5
How many gallons of the 65% pesticide is needed to make a final solution that is 60% pesticide
we have that
the algebraic expression that represents this situation is
p(0.65)+25(0.25)=(25+p)(0.60)
solve for p
0.65p+6.25=15+0.60p
0.65p-0.60p=15-6.25
0.05p=8.75
p=175 galMrs. Nguyen had 25 students in her English class. On her
birthday 1 student gave her chocolates, 12 gave her cards
and 2 gave her flowers.
QUESTION: What percentage of her students brought
something for Mrs. Nguyen on her birthday?
Answer:
60% of her students brought something for Mrs. Nguyen on her birthday.
Step-by-step explanation:
She has 25 students in her class.
12 gave her cards.
2 gave her flowers.
1 gave her chocolates.
Add them together to get 12+2+1=15.
15 students out of 25 can also be written as a fraction:
[tex]\frac{15}{25}[/tex]
This equals 0.6 as a decimal. To find the percentage multiply by 100, to get 60. Therefore 60% of her students got something for her.
giving brainliest!!
answer choices are:
D
A
B
C
Answer: d
Step-by-step explanation:
Write an equation in point-slope form of the line through each pair of points" (9,5) and ( 8,2)
A slope of a line is the change in y coordinate with respect to the change in x coordinate. y=3x-22 is equation in point-slope form of the line through each pair of points" (9,5) and ( 8,2).
What is Slope of Line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
The slope intercept form of a line is y=mx+b
where m is the slope and b is y intercept.
slope of a line passing through two points is given by
m=y₂-y₁/x₂-x₁
(9,5) and ( 8,2)
x₁=9, y₁=5, x₂=8,y₂=2
Plug in the values to get the slope.
m=2-5/8-9
m=-3/-1
m=3
The equation of line is given by y-y₁=m (x-x₁)
y-5=3(x-9)
y-5=3x-27
y=3x-27+5
y=3x-22
Hence y=3x-22 is equation in point-slope form of the line through each pair of points" (9,5) and ( 8,2).
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Mini Me is similar to Dr. Evil in every way, including his size. If Mini Me is 3.5 feet tall and casts a shadow that is 4 feet long, how long will Dr. Evil's shadow be if he stands 6 feet tall?
The ratio of hieght of shadow to the height of individual is same for both individual. So height of shadow for Dr Evil's is,
[tex]\begin{gathered} \frac{h}{6}=\frac{4}{3.5} \\ h=\frac{6\cdot4}{3.5} \\ =6.857 \end{gathered}[/tex]
The shadow of Dr Evil's is 6.857 ft.
Identify the additive and multiplicative inverse of −17.
Answer:
Additive inverse of -17 is 17.
Multiplicative inverse of -17 is -1/17.
Solve for the equation show all your work |3x-9| = 12
Answer:
x = 7 and x = -1
Step-by-step explanation:
The equation "|3x-9| = 12" can be written into two different equations:
3x-9 = 12 & 3x-9 = -12
This is because the net value inside of the absolute value will always be made positive even if it is negative. Therefore, the net value inside of the absolute value signs can also be equal to the negative of the solution.
Solve 3x-9 = 12:
Add 9 to both sides:
3x-9+9 = 12+9
3x=21
Divide both sides by 3:
3x÷3=21÷3
x=7
Solve 3x-9 = -12
Add 9 to both sides:
3x-9+9=-12+9
3x=-3
Divide both sides by 3:
3x÷3=-3÷3
x=-1
Your answer: x = 7 and x = -1
Ben Armstrong earns $13.57 an hour plus time and a half for weekend work. Last week he worked his
regular 40 hours plus 8 hours on Saturday. What was his total pay for the week?
Ben Armstrong's total pay for working regular 40 hours plus 8 hours on Saturday is $705.64.
How is the total pay determined?The total pay is the sum of the total pay at the normal pay rate in addition to the total overtime pay at the overtime rate.
The overtime pay rate is usually a time and a half of the normal pay rate.
The normal hourly pay rate = $13.57
The overtime pay rate = 1¹/₂ of $13.57 = $20.355
The total earnings from normal working hours = $542.80 (40 x $13.57).
The total earnings from overtime hours = $162.84 (8 x $20.355).
Ben's total pay for the week = $705.64 ($542.80 + $162.84).
Thus, for the week, Ben's total pay is $705.64.
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He knows the right triangle JAM contains points J (-3,8) and M (5,4) but the Psl spilled right on his coordinates for A so he only knows that x - coordinate of A is 1. If the triangle is a right triangle, what are the possibilities for the y - coordinate of point A
Four Answers:
10.4721 approximately
1.5279 approximately
-4
16
===================================================
Explanation:
Use the midpoint formula to find that N = (1,6) is the midpoint of J(-3,8) and M(5,4). I'm skipping steps so let me know if you need to see them.
Then draw a circle centered at N with radius NM. The equation of this circle is (x-1)^2+(y-6)^2 = 20
Plug in x = 1 and solve for y to get y = 10.4721 and y = 1.5279
These values are approximate.
------------------
The equation of line MJ is y = -0.5x + 6.5 where both decimal values are exact.
The slope here is m = -0.5 which has the negative reciprocal of 2, and this is the perpendicular slope.
The line perpendicular to MJ, that goes through M, is y = 2x-6
Plug in x = 1 to find that y = 2(1)-6 = -4
The line perpendicular to MJ, that goes through J, is y = 2x+14
Plug in x = 1 to find that y = 2(1)+14 = 16
------------------
The diagram below shows points in red of all the possible locations point A could be.
What is the greatest common factor of 8 and 44
Answer:
GCF is 8
Step-by-step explanation:
What is the greatest common factor of 8 and 44?
8: 1, 2, 4, 8
44: 1, 2, 4, 8, 11 ....
GCF is 8
The greatest common factor of the numbers 8 and 44 is 4.
The two given numbers are 8 and 44.
The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.
Here, the factors of 8 and 44 are
8=2×2×2
44=2×2×11
So, the common factors are 2×2=4
Therefore, the greatest common factor of the numbers 8 and 44 is 4.
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The weight of an object on a scale is 165.3 lbs. The measured weight may
vary from the actual weight by at most 0.6 lbs. What is the range of actual
weights of the object?
A. 164.7 ≤ x≤ 165.9
OB. 164.72x2 165.9
C. 164.72 x≤ 165.9
D. x≤ 164.7 or x2 165.9
A semicircular shape is cut out of the side of a rectangle as shown.
Calculate the shaded area, giving your answer in exact form.
Answer:
9 43/50cm²
Step-by-step explanation:
Required area
= 6 x 4 - ½ π 3²
= 24 - 4.5 π
= 24 - 4.5 x 3.14
= 24 - 14.13
= 9.87
= 9 43/50
What is the magnitude (size) of -9.1
A.-9.1 because |-9.1| =9.1
B. 9.1 because |-9.1| = 9.1
C.9.1 because |-9.1|= -9.1
D.0.91 because |-9.1|=0.91
B. 9.1 because |-9.1| = 9.1
Magnitude of -9.1 is 9.1
Magnitude of a number
A magnitude is the measurement or absolute value of a quantity. A magnitude is represented by a positive real number. Put simply, a magnitude is the size of some quantity. For example, the magnitude of an earthquake, measured on the Richter scale, usually varies between 1 and 10 and represents the size of the earthquake. An earthquake with a magnitude of 8 is much more trouble than an earthquake with a magnitude of 3.
The magnitude of a negative number, say -6? It is (positive) 6. Magnitudes cannot be negative. Consider the idea of a magnitude as a measure of size: there doesn't seem to be a coherent idea of negative size. To make sense of this is to understand that -6 is greater in magnitude than -5 even though -6 is a lower number. For negative numbers the order of magnitude is reversed, just as one counts in the opposite direction on the number line for negative numbers.
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Question in picture below
57 yd² is area of triangle .
What is a triangle answer?
A triangle is a three-sided polygon in geometry with three edges and three vertices. The fact that the internal angles of a triangle add up to 180 degrees is the most crucial aspect of triangles.A triangle is a polygon with three sides. The three vertices that make up its three sides also create its three angles. Any triangle with three vertices is represented below by the symbols A B C: several triangular types: The sides of a scalene triangle are not all the same length.Area of triangle = 1/2 * b * h
= 1/2 * 19 * 6
= 19 * 3 ⇒ 57 yd²
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Identify ALL solutions to the inequality. There could be more than one selection.
The solutions to the given inequality x ≤ 6 are; -6, -3 and -10
What are the Solutions to the Inequality?In inequalities, there are different symbols such as;
≥ which means greater than or equal to
≤ which means less than or equal to
< which means less than
> which means greater than
Now, we are given the inequality as; x ≤ 6
This means that all valid values of x must either be equal to 6 or less than 6. Thus, any value greater than 6 for x is not valid.
Looking at the options, we cans see that -6, -3 and -10 all fall within the required interval and as such they are the solutions.
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HELP ASAP!!! 50 POINTS!!
Answer:
rate of change is 3
Step-by-step explanation:
Answer:
The rate of change is 3
Step-by-step explanation:
start at (0,2) Then go up three spaces and right 1 space. You will be on the line again at point (1,5)
Calcule A = 1 x 2° +1 x 2¹ +0×2²+1× 2¹
Answer:
1+2+0+2=5
Step-by-step explanation:
1x2° = 1
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