Answers
Answer:
18.
Domain: X E \{-3,2}
Y-Intercept: 1/2
X-Intercept: 3
19.
Domain: (I think it's none)
Y-Intercept: -2
X-Intercept: 2
20.
Domain: X E R\ {-3,1}
y-INTERCEPT: 2/3
x-INTERCEPT: -1
Step-by-step explanation:
19) In this function, x can equal any value, since the denominator will never equal 0. So it’s continuous.
20) then for this one when you factor, you get 2(x-1)(x+1)/ (x+3)((x-1), so it has a removable at x=1 and a non removable one at x=-3.
Related Questions
If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of the sequence?
Answers
Answer:
[tex]Sum = 32[/tex]
Step-by-step explanation:
Given
Sequence = Consecutive Odds
[tex]T_7 = 9[/tex]
Required
The sum of the terms
A sequence of odd number has a difference of 2. So, the sequence is represented as:
[tex]S = \{-3,-1,1,3,5,7,9,11\}[/tex]
Add up all terms in the sequence
[tex]Sum = -3-1+1+3+5+7+9+11[/tex]
[tex]Sum = 32[/tex]
Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)
Answers
Answer:
y = 11/5x - 32/5
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 9 / 2 - 7
-11 / -5
= 11/5
y = 11/5x + b
-2 = 11/5(2) + b
-2 = 22/5 + b
-32/5 = b
If two sides of a triangle have lengths 4 and 9, then the length of the third side may be any number
Answers
Answer:
should I fild the length of third side in this question ?
Answer:
If this question was a true or false, the answer is false. Otherwise, any number greater than 5 but less than 13.
Consider the piecewise function shown on the graph. Over which interval of the domain does the graph represent an exponential function?
Answers
I think the answer is c in which graph shown in the above
Answer:
see attached, x>=1
Step-by-step explanation:
Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x - 3 (pls answer)
Answers
consindering the equation ""yvariable m is the intercept ,,c constant
therefore from the equation by comparing...=mx+c where y
I will be marking brainliest please help me with these questions.
Answers
Answer/Step-by-step explanation:
1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:
Area of shaded region = area of triangle - area of rectangle
Area of shaded region = ½*base*height - length*width
1. a. Volume of triangular prism = area of triangular base * height of prism
Volume of triangular prism = ½bh * H
Where,
b = 6 m
h = 4 m
H = 8 m
Substitute
Volume of prism = ½*6*4*8
Volume of prism = 96 m³
b. Volume of sphere = ⁴/3πr³
Where,
r = 9 cm
Substitute
Volume = ⁴/3*π*9³
Volume = ⁴/3*π*729
Volume ≈ 3,053.6 cm³ (nearest tenth)
2. Use Pythagorean theorem to find the height of the cone
radius of the cone (r) = ½(16) = 8 cm
Slant height (l) = 11 cm
height (h) = ?
Using Pythagorean theorem, we have:
h = √(l² - r²)
Substitute
h = √(11² - 8²)
h = √(57)
h ≈ 7.5 cm (nearest tenth)
b. Volume of the cone = ⅓πr²h
where,
r = 8 cm
h = 7.5 cm
Volume = ⅓*π*8²*7.5
Volume = 502.7 cm³ (nearest tenth)
On a coordinate plane, a curved line with a minimum value of (1.5, negative 1) and a maximum value of (negative 1.5, 13), crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 6).
Which lists all of the x-intercepts of the graphed function?
(0, 6)
(1, 0) and (2, 0)
(1, 0), (2, 0), and (–3, 0)
(1, 0), (2, 0), (–3, 0), and (0, 6)
Answers
Answer:
Third option: (1, 0), (2, 0), and (–3, 0)
Step-by-step explanation:
The x-intercepts are the points at which the graph of the function crosses the x-axis.
By reading the question, we can see that:
"... crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0)..."
So the x-intercepts are:
(-3, 0)
(1, 0)
(2, 0)
Then the correct option is the third one:
"(1, 0), (2, 0), and (–3, 0)"
Answer: Option 3
Step-by-step explanation: Got it right on Edge
HELP its not 64 I keep getting it wrong for some reason :(
instructions find the perimeter of the polygon
Answers
Answer:
Step-by-step explanation:
Starting on the left side
5 + 7 = 12
7 + 6 = 13
6 + 11 = 17
11 + 5 = 16
Total = 58
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
The formula for finding the area of a pentagon(regular) given 1 side is
A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]
s (the side) = 12
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]
Area = sqrt(5(5 + 2*2.2361) * 36
Area = sqrt(5( 5 + 4.4721)) * 36
Area = sqrt(5*9.4721) * 36
Area = sqrt(47.3606) * 36
Area = 6.882 * 36
Area = 247.7485
The area of the circle = pi r*2 but we don't have r.
If you know any trig, the formula for the radius of the circle is
R = s/(2*sin(180)/n) n = 5 because you are using a 5 sided figure.
R = 12/(2*sin(180/5)
R = 12/2* sin(36)
R = 6 / sin(36)
R = 10.207
So the area of the circle is pi * R^2
Area = 3.14 * 10.2078^2
Area = 327.1854
The area of the shaded part is the difference between the 2 areas we found
Answer: 327.1854 - 247.7485
Answer: 79.44
use trigonometry to find the unknown side (round to 1 decimal)
Answers
Answer:
a = 7.5
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2a = 15 ( divide both sides by 2 )
a = 7.5
you've been given 500 for your fencing
Answers
Answer: ok?
Step-by-step explanation:
The sine of angle θ is 0.3.
What is cos(θ)? Explain how you know.
Answers
Answer:
cos(θ) = -0.95
Step-by-step explanation:
Remember the relation:
sin(θ)^2 + cos(θ)^2 = 1
So if we have:
sin(θ) = 0.3
we can replace that in the above equation to get:
0.3^2 + cos(θ)^2 = 1
now we can solve this for cos(θ)
cos(θ)^2 = 1 - 0.3^2 = 0.91
cos(θ) = ±√0.91
cos(θ) = ± 0.95
Now, yo can see that there are two solutions, which one is the correct one?
Well, you can see that the endpoint of the segment that defines θ is on the second quadrant.
cos(x) is negative if the endpoint of the segment that defines the angle is on the second or third quadrant.
Then we can conclude that in this case, the correct solution is the negative one.
cos(θ) = -0.95
The radius of a circle is 14cm. Find the radius of the circle whose area is double of the area of circle.
Answers
Answer:
14√2 cmStep-by-step explanation:
Area of circle equation:
A = πr²Let the radius of bigger circle is x.
We have:
π(14²)*2 = πx²Solve for x:
x² = 2(14²)x = √2(14²)x = 14√2 cm19.8cm
Step-by-step explanation:
First find area of small circle:
A = πr2
A = 22/7 x 14 x 14
A = 22 x 2 x 14
A = 616cm2
Area of bigger circle is double that of the small circle:
= 616 x 2
= 1,232 cm2
πR2 = A
22/7 x r2 = 1,232
r2 = (1,232 x 7) ÷ 22
r2 = 8624 ÷ 22
[tex] \sqrt{r ^{2} } = \sqrt{392} [/tex]
radius of bigger circle = 19.8cm
ILL GIVE A BRAINLISTYY HELP PLS
Answers
Answer:
?
Step-by-step explanation:
Given point (-6, -3) and a slope of 4, write an equation in point-slope form.
Answers
Answer:
C
Step-by-step explanation:
Which angles are adjacent to each other?
Angle 8 and Angle 5
Angle 4 and Angle 6
Angle 5 and Angle 3
Angle 11 and Angle 8
Answers
Answer:
Angle 8 and angle 5 are the adjacent to each other
8 . In which step does a mistake first occur?
(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2
Answers
Answer:
Step 1
Step-by-step explanation:
Concepts:
When solving any expression or equation, we must go through the order of operations. The order of operations is a set of rules that tell us which operation we must do first. The set of rules is often represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.Solving:
Let's go through the order of operations to solve the expression, so we can see the mistake in the steps.
(24 + 3 + 10) - 14 + 2
1. Add 24 and 3 together
(24 + 3 + 10) - 14 + 2(27 + 10) - 14 + 22. Add 27 and 10 together
(27 + 10) - 14 + 2(37) - 14 + 237 - 14 + 23. Subtract 14 from 37
37 - 14 + 223 + 24. Add 23 and 2 together
23 + 225Now, let's compare these steps to the ones given.
There's a mistake in Step 1 because 24 and 3 was divided instead of added; 24 + 3 = 27, not 8.
6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?
Answers
Answer: -1
Step-by-step explanation:
Look at the patter it has
Write 9cm to 1m as a ratio
Answers
Answer:
1m=100cm
9:100
hope this helps
Answer:
9/100
Step-by-step explanation:
how many cm in a meter ?
100
so, 9 cm are 9 of 100 or 9/100
In a survey, 60 people were asked:
Here are the results.
Complete the table below with the view of drawing a pie chart.
Type of newspaper Angle (in )
Morning newspaper
Evening newspaper
No newspaper
Answers
martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?
please someone help
Answers
Answer:
Yes, it will overflow after 16 minutes..
Step-by-step explanation:
The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.
I
7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).
Answers
Answer:
C= 100+ d*0.2
Step-by-step explanation:
Give data
Cost of rental = $100
Cost per km= $0.2
Total cost= C
Distance= d
Let us model the expression
Hence the expression is given as
C= 100+ d*0.2
Solve -x/3 >_ 5
A. X>_15
B. X<_15
C. x <_ 15
D. x >_15
Answers
Answer:
x ≤ -15
Step-by-step explanation:
-x/3 ≥ 5
or, -x ≥ 15
or, x≤ -15
Answered by GAUTHMATH
If (m,2m+1) is a solution of the equation x +3y=7, find the value of m
Answers
Answer: m = 4/7
Step-by-step explanation:
x = m
y = 2m+1
so
x+3y = 7
or, m+3(2m+1) = 7
or, m + 6m+3 = 7
or, 7m = 4
so m = 4/7
PLZ HELP!!!
Find the range of the following piecewise function.
Answers
Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.
Answers
Answer:
V = 267.9 in^3
Step-by-step explanation:
V = 4/3 * (pi) * r^3
V = 4/3 * 3.14 * 4^3
V = 4/3 * 3.14 * 64
V = 256/3 * 3.14
V = 803.84/3
Simplify the expression:
4m + 5 - 3m
Answers
Answer:
m+5
Step-by-step explanation:
4m + 5 - 3m
Combine like terms
4m-3m +5
m+5
Answer:
This equation simplified is [tex]m+5[/tex]
Step-by-step explanation:
To simplify this expression subtract 3m from 4m to get 1m or m.
Charlotte needs at least 60 signatures from students in school so that she can run for student government president. She already has 12 signatures. She and her three friends plan to get the remaining signatures during gym.
If each person gets the same number of signatures, which inequality can Charlotte use to determine the minimum number of signatures each person should get so he/she can run for student government president?
Answers
If she already has 12 signatures: 60 - 12 = 48
48/3 = 16
so, she and her friends need at least 16 signatures each.
p being person;
p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)
Find "k" if a force of 10 Newtons produces an extension of 5 cm.
Answers
K = 5n/m
F=KE
K= F/E
= 10/5
K = 5n/m
calculate interior angle of a regular 15 sided polygon
Answers
Answer:
156°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 15 , then
sum = 180° × 13 = 2340°
interior angle = [tex]\frac{sum}{n}[/tex] = [tex]\frac{2340}{15}[/tex] = 156°
