Answer:
B) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.
Step-by-step explanation:
2020 edg.
A function assigns the values. The correct option is B.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The statement that correctly describes the function's behavior around its vertical asymptote is As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞. Thus, the correct option is B.
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find one-ninth of the difference between 49 and 13
Answer:
4
Step-by-step explanation:
First we need to find the difference by subtracting. 49-13 = 36
Then we fine one-ninth of 36. We do this by dividing 36 by 9
36 divided by 9 is 4.
A bag contains 5 red marbles, 2 blue marbles, and 3 green marbles what is the probability of drawing a green marble
Answer:
Hey there!
Total marbles= 5+2+3=10
Green marbles= 3
3/10=30%
Hope this helps :)
The length of a rectangle is 5 feet less than 3 times its width. A. Write a rule for the area A as a function of the width w. B. What is the area of the rectangle when its width is 2 feet?
Answer:
A. A = (3w - 5) * w
B. 2 feet squared
Explanation:
A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:
A = (3w - 5) * w
——————————
B. Plug in 2 for w using the given rule.
A = (3[2] - 5) * (2)
Distribute
(6 - 5) * 2
Subtract 5 from 6
1 * 2 = 2
The answer is 2 feet squared since this is area.
Angad, Caroline and Sarah share some sweets in the ratio 5:3:2. Angad gets 30 more sweets than Sarah. How many sweets are there altogether?
Answer:
120 sweets altogether
Pls hurryyy up I need it now....... A translation moves point V(-2, 3) to V (-2,7). Which are true statements about the translation?
The point moves two units left and four units up.
The transformation rule is (x,y) →(x+0.y+4)
The transformation is a vertical translation.
The image is four units to the left of the pre-image.
The translation can be described as (x,y) → (x-2.y+7)
Answer:
Only the y-coordinate changes by 4 so the true statements are that "The transformation rule is (x,y) →(x+0.y+4)" and that "The transformation is a vertical translation."
It would be really helpful if you could solve this for me. Please and thank you:)
Hey there! :)
Answer:
2nd choice.
Step-by-step explanation:
Given:
630 = 42f.
Divide both sides by 42 to solve for f:
630/42 = 42f/42
f = $15.
This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:
The second choice is correct. The number line has a single point at f = 15.
Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.
help me pleasseeeeeee
Answer:
no
Step-by-step explanation:
The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.
Consider the system of four linear inequalities. The lines corresponding to these inequalities are shown in the graph below, along with the lettered regions they define. Which lettered region defines the solution to the system of inequalities?
Answer:
H
Step-by-step explanation:
If we look at the green line (x ≥ 3) we know that the solution must be shaded to the right of the line. The only region out of all of our answer choices that satisfies this is H.
The value of the digit 2 in 425.3 is
The place value of 2 in 425.3 is tens of 20.
What is place value?The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.
Given digit:
425.3
Write the number as shown below,
425.3 = 400 + 20 + 5 + 0.3
As you can see, the 2 is attached to the tens place,
Therefore, the place value of 2 in 425.3 is tens of 20.
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In parallelogram ABCD, points E and F are the midpoints of side AB and BC, respectively. A F meets DE at G and BD at H. What is the area of quadrilateral BHGE if the area of ABCD is 60?
Answer:
The area of the quadrilateral B-H-G-E is 7
Step-by-step explanation:
The area of the parallelogram = 60
It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S
Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S
ΔB-F-H is similar to ΔD-B_A scaled to 1/2,
Therefore;
The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,
ΔF-C-D = 1/4×S
ΔE-A-D = 1/4×S
The area of the quadrilateral B_H_G_E found as follows;
Area B_H_G_E = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)
Area B_H_G_E = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S
Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;
Area B_H G_E = 7/60×60 = 7
Write an equation, in standard form, for the line that passes through the points (-1, -4) and (1, 6).
Answer:
y = 7/2 x + 5/2Step-by-step explanation:
The equation of a line is expressed as y = mx+c where m is the slope and c is the intercept.
m = Δy/Δx = y₂-y₁/x₂-x₁
Given two points (-1, -4) and (1, 6) with x₁= -1, x₂ = 1, y₁ = -4 and y₂ = 6
m = 6-(-1)/1-(-1)
m = 7/2
To get c, we will substoute the slope and any of the point given into the equation of a line as shown;
Using tyhe point (1, 6) and m = 7/2
6 = 7/2(1)+c
6 = 7/2 + c
c = 6-7/2
c = 5/2
The equation of the line will be y = 7/2 x + 5/2
I really need HELP PLEASE
Answer:
A. I and II, only
Step-by-step explanation:
y = x
Switch variables.
x = y
y = 1/x
Switch variables.
x = 1/y
1/x = y
y = x²
Switch variables.
x = y²
±√x = y
y = x³
Switch variables.
x = y³
∛x = y
Select the correct answer. A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r? A. B. C. D.
Answer:
V = [tex]\frac{3.14r^3}{12}[/tex]
Step-by-step explanation:
Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]
But, Given that radius of cone = r/2 of the cylinder
And,
Height of cone = Radius of cylinder i.e. h = r
Putting this in the above formula.
=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]
=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]
=> V = [tex]\frac{3.14r^3}{12}[/tex]
Answer:
(1/12) Pi r^3 option C on plato
Step-by-step explanation:
r = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volume of the cone is (1/12) Pi r^3
From a rectangular metal sheet whose measure 30cm×20cm, a circular portion whose radius is 10.5cm is cut off .Find the area of remaining metal sheet .
Answer:
254 cm²
Step-by-step explanation:
Calculate first the total area
A = 30*20 = 600 cm²
Then calculate the area of the cercle
A= 10.5²*π = 346.36≈346 cm²
Then substract the area of the circle from the total one:
600-346= 254 cm²
What is the value of
the answer is 2. see attached for step-by-step instructions. hope that helps!
What is the measure of angle EFD? 37.5° 45° 47.5° 55°
Answer:
47.5
Step-by-step explanation:
just took the test
The measure of angle EFD is 47.5°
What is inscribed angle?An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.
Given is a circle C, with an arc ED measuring 95°, we need to find the measure of the inscribed angle ∠EFD,
So,
we know that the arc formed by the central angle is equal to is measure.
∴ arc ED = ∠ECD
∠ECD = 95°
Now,
According to the central angle theorem the angle subtended by an arc length at the center of the circle is double the angle subtended at any point on the circumference of the circle.
therefore,
∠ECD/2 = ∠EFD
∠EFD = 95/2
∠EFD = 47.5°
Hence the measure of angle EFD is 47.5°
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A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag contained 5kg of flour. 2040 small bags were packed. How many large bags of flour were packed?
Answer:
696 large bags of flour were packed.
Step-by-step explanation:
Let large bags of flour be 'y'
Let small bags of flour be 'x'. That is x=2040 (according to the question)
[tex](3 \times x) + (5 \times y) = 9600[/tex]
[tex](3 \times 2040) + ( 5 \times y) = 9600[/tex]
[tex](6120) + (5 \times x) = 9600[/tex]
[tex](5 \times x) = 9600 - 6120[/tex]
[tex](5 \times x) = 3480[/tex]
[tex]x = 3480 \div 5[/tex]
[tex]x = 696[/tex]
HOPE IT HELPS
#PEACE
Graph the line with: a slope of 4/5 through the origin.
Answer:
y = 4/5x
Step-by-step explanation:
We have a slope of 4/5 and a point of (0,0)
Using the slope intercept form of a line
y = mx+b
y = 4/5 x +b
Substituting the point into the equation
0 = -1/2(0) +b
0 = 0+b
0 = b
The equation of the line is
y = 4/5x+0
Please answer the question and please how the working out fully Thank you
Answer:
X will be equal to 36 degrees.
Step-by-step explanation:
A full angle of a pentagon is 108 degrees. A line connecting from a base corner to on the opposite side splits the pentagon into a rhombus and a triangle. In the triangle, two corners will be the same side, while the largest corner will be 108 degrees.
180-108 = 72
72 / 2 = 36
Therefore, x is equal to 36 degrees.
Hopefully this helps :)
if x+y=12 and xy=32,then find X and y
answer with explaination
Step-by-step explanation:
x+y=12-----1
xt=32-----2
from 1,
x=12-y-----3
sub 3 into 2
(12-y) y=32
12y-y²=32
y²-12y+32=0
(y-8)(y-4)=0"factorise"
y=8,y=4
sub y =8 into 1,
x+8=12
x=4
sub y =4 into 1
x+4=12
x=8
conclusion,
when x=4,then y=8
when x=8,theb y =4
Answer:
x = 4, y = 8 or x = 8, y = 4
Step-by-step explanation:
Given the 2 equations
x + y = 12 → (1)
xy = 32 → (2)
From 2
y = [tex]\frac{32}{x}[/tex]
Substitute y = [tex]\frac{32}{x}[/tex] into (1)
x + [tex]\frac{32}{x}[/tex] = 12 ( multiply through by x )
x² + 32 = 12x ( subtract 12x from both sides )
x² - 12x + 32 = 0 ← in standard form
(x - 4)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 8 = 0 ⇒ x = 8
Substitute these values into (1) for corresponding values of y
x = 4 : 4 + y = 12 ⇒ y = 8
x = 8 : 8 + 4 = 12 ⇒ y = 4
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right angle. The length of A B is 17 and the length of A C is 8. What is the length of Line segment B C?
Answer:
A
Step-by-step explanation:
A
Answer:
an altitude
Step-by-step explanation:
its is correct
In a multipack of crisps there are 6 salt and vinegar, 9 ready salted and 6 cheese and onion. Write the ratio of salt & vinegar : ready salted : cheese and onion in its simplest form.
Answer:
salt & vinegar : ready salted : cheese and onion
2 3 2
Step-by-step explanation:
salt & vinegar : ready salted : cheese and onion
6 9 6
Divide each by 3
salt & vinegar : ready salted : cheese and onion
6 /3 9/3 6/3
2 3 2
Answer:
2:3:2
Step-by-step explanation:
Salt and Vinegar: 6
Ready Salted: 9
Cheese and Onion: 6
Put numbers in for the corresponding type:
Salt and Vinegar : Ready Salted : Cheese and Onion
6:9:6
All numbers share a common factor of 3.
Divide all the numbers by 3 to find simplest form.
2:3:2
Pls help a brother out!
Answer:
12 maybe the ANSWER.
hope it helps you
Answer:
Range = (-∞ , 6]
Step-by-step explanation:
Write down the inequality and then solve it to get the required solution.
Let's say "x" is the certain number.
4 + 3x <= 2x + 10
x <= 6
That's it, Best Regards!
Which part is which from the circle
The radius goes from the center to the edge of the circle.
The diameter is twice as long as the radius; it is a segment going through the center with both endpoints on the circle
The circumference is the distance around the circle. Think of it as the perimeter of the circle.
MSolve the following equation using the quadratic formula.
x^2 - 8x + 97 = 0
А.x = 8 + 18i and x = 8 – 18i
B.x= 8 + 18i and x = 8 - 18i
C.x= 4 + 9i and x = 4 - 9i
D. x= 4 + 9i and x= -4 - 9i
Answer:
the answer is C
Step-by-step explanation:
it it can be calculated by using simple quadratic formula
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference? Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250. Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90. No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90. No, Mr. Hernandez’s sample is not large enough compared to the population.
Answer:
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Step-by-step explanation:
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.
90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.
so, the percent of students who love social studies is given by:
28/90 x 100=31.11%
He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Answer:
C on EDG
Step-by-step explanation:
Hi, I’m really confused if anyone could help me out that would mean a lot?:)
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
Which expression is equivalent to -4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
Answer:
-65536
Step-by-step explanation:
-1*4^8
Answer:
-65536
Step-by-step explanation:
Will give BRANLIEST PLEASE HELP
Answer: n=6
Step-by-step explanation:
To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.
[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]
[tex]3=\frac{1}2}n[/tex] [multiply both sides by 2]
[tex]n=6[/tex]
Emma is doing a science project. She is measuring the time it takes a snail to move 5 kilometres. It takes the snail one hour to move 1 20 of a kilometre. If the snail moves at the same pace, how long will it take the snail to move 5 kilometres?
Answer:
41.67hrs
Step-by-step explanation:
if the snail moves 0.12km in 1hr
the snail will move 5km in Xhrs
0.12 × X = 5 × 1
0.12X= 5
X= 5/0.12 = 41.67hrs
Answer:
41.76 hours
Step-by-step explanation:
I feel bad so i did the math. Good Luck! hope you get it right!