Answer:
False
Step-by-step explanation:
The function isn't continuous at x=±2 as a function isn't continuous at the point where the function becomes undefined, this function becomes undefined when the denominator is equal to 0. So x^2-4=0 => x=±2.
pls help will give brainly
Answer:
-8
Step-by-step explanation:
Since x = -18, we use the top formula
f(-18) = (x-6)/3
= (-18-6)/3
= -24/3
= -8
The question is in the picture
Answer:
[tex]10^{19}[/tex]
[tex]10^{-6} * 10^{25} = 10^{19}[/tex]
Step-by-step explanation:
10^46/ 10^-4 = [tex]10^{50}[/tex]
[tex]\sqrt{10^{50} } = 10^{25}[/tex]
help me please and thank youu
Answer:
-3
Step-by-step explanation:
What is the surface area of the rectangular prism below?
A. 736 units2
B. 812 units2
C. 706 units2
D. 824 units2
Answer:it’s A
Step-by-step explanation:
took the test
AABC is reflected across the x-axis and then translated 4 units up to create AA'BC. What are the coordinates of the vertices of AABC?
OA A'(-3, 3), B(-1, 1). C(-2.3)
ОВ.
A'(3.-3), B(1,-1), C(2.-3)
OC. A'(3.-5), B(1, -7), C(3.-5)
OD. A'(-3, 3), B(-1, 1), C(-2,-
Answer:
A
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A(- 3, 1 ) → (- 3, - 1 )
B(- 1, 3 ) → (- 1, - 3 )
C(- 2, 1 ) → (- 2, - 1 )
A translation of 4 units up means adding 4 to the y- coordinate
( - 3, - 1 ) → A' (- 3, - 1 + 4 ) → A' (- 3, 3 )
(- 1, - 3 ) →B' (- 1, - 3 + 4 ) → B' (- 1, 1 )
(- 2, - 1 ) → C' (- 2, - 1 + 4 ) → C' (- 2, 3 )
You start with a given set of rules and conditions and determine something to
be true. What type of reasoning did you use?
O A. deductive
O B. inductive
C. logical
D. conditional
Answer:
i use logical reasoning
Can someone please assist me...thank you
Answer:
x=10, y=24
[tex]\left(34-y\right)^2+y^2=676[/tex]
Step-by-step explanation:
Answer:
x = 10 and y = 24
Step-by-step explanation:
Perimeter of triangle = sum of the 3 sides of the triangle
:. x + y + 26 = 60
x + y = 60 - 26
x + y = 34 ---- (1)
From Pythagoras theorem,
x² + y² = 26²
x² + y² = 676 ---- (2)
From equation (1): y = 34 - x
:. x² + (34 - x)² = 676
x² + 1,156 - 68x + x² = 676
x² + x² - 68x + 1,156 - 676 = 0
2x² - 68x + 480 = 0
x² - 34x + 240 = 0
(x² - 24x) - (10x + 240) = 0
x(x - 24) -10(x - 24) = 0
(x - 24)(x - 10) = 0
x = 24 or 10
y = 34 - x
y = 34 - 10 = 24
:. x = 10 and y = 24
Tom has a job that pays £9.32 per hour. He worked for 40 hours last week . How much did he earns
Answer:
372.8
Step-by-step explanation:
Per hour = 9.32
Worked 40 hours
Total amount of money he earned last week = 40 x 9.32
= 372.8
Answer:
Tom has a job that pays £9.32 per hour. He worked for 40 hours last week . How much did he earns
9.32 x 40 = £372.80
Step-by-step explanation:
9.32 pounds times 40 hours
1 point 56. While riding a bicycle, a person travelled 5 blocks in 2 minutes. At this rate, how many blocks will the person travels in 16 minutes? Q
the person will travel 40 blocks in 16 minutes
for the function g(x)=3-8(1/4)^2-x
a) State the y-intercept
b) State the equation of the horizontal asymptote
c) State whether the function is increasing or decreasing.
d) State the domain and range
e) Sketch the graph
Could anyone help?
Using function concepts, it is found that:
a) The y-intercept is y = 2.5.b) The horizontal asymptote is x = 3.c) The function is decreasing.d) The domain is [tex](-\infty,\infty)[/tex] and the range is [tex](-\infty,3)[/tex].e) The graph is given at the end of the answer.------------------------------------
The given function is:
[tex]g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}[/tex]
------------------------------------
Question a:
The y-intercept is g(0), thus:
[tex]g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5[/tex]
The y-intercept is y = 2.5.
------------------------------------
Question b:
The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.
[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3[/tex]
--------------------------------------------------
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty[/tex]
Thus, the horizontal asymptote is x = 3.
--------------------------------------------------
Question c:
The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.
--------------------------------------------------
Question d:
Exponential function has no restrictions in the domain, so it is all real values, that is [tex](-\infty,\infty)[/tex].From the limits in item c, the range is: [tex](-\infty,3)[/tex]--------------------------------------------------
The sketching of the graph is given appended at the end of this answer.
A similar problem is given at https://brainly.com/question/16533631
BONUS: Solve this problem by using the Guess And Check strategy.
I'm thinking of a number. If you multiply it by 4, then subtract 10, and finally add 15,
you get 53. What number am I thinking of?
Answer:
12
Step-by-step explanation:
Let number you are thinking be x
According to problem;
4x-10+15=53
4x+5=53
4x=48
×=12
Place the two large triangles around the square to form a triangle, a parallelogram ,and a trapezoid .Please answer it step by step
Answer:
Step-by-step explanation:
Find the area of ABCD
Answer:
Applying Heron's Formula
[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]
[tex]s_1=7[/tex]
[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]
[tex]A_1=10.56[/tex]
Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]
[tex]s_2=11.49[/tex]
[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]
[tex]A_2=24.69[/tex]
Total Area:
[tex]10.56+24.69[/tex]
[tex]=35.25[/tex]
OAmalOHopeO
Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 720° 1,080°
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon = 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.
What is a regular hexagon?The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.
The external angle of the regular hexagon will be given as,
External angle = 360° / 6
External angle = 60°
Then the sum of the measures of the exterior angles of a convex hexagon will be
⇒ 60° x 6
⇒ 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°.
Then the correct option is A.
More about the regular hexagon link is given below.
https://brainly.com/question/1694257
#SPJ2
The bag contained 6 red marbles and 10 blue marbles. Bill removed a red marble. He then replaced it. What is the probability Bill will remove a blue marble on his next try?
Answer:
5/8
Step-by-step explanation:
There are 6 red marbles and 10 blue marbles. = 16 marbles
P( blue ) = number of blue marbles / total = 10/16 = 5/8
Answer:
5/8
Step-by-step explanation:
its just the chance of drawing a blue marble. the drawing of the red marble was independent to the current drawing of the blue marble, so the probability of drawing a blue marble is just the number of blue marbles over the total number of marbles. that is 10/16 or 5/8
Simplfy |8|+|-3|-|-7|
Step-by-step explanation:
|8| + |-3| - |-7|
= 8 - 3 + 7 = 12
The area of the surface of a pool table is 24 square feet. The perimeter is 22 feet. What are the dimensions of the pool table?
Answer: The dimensions are 8 and 3
Step-by-step explanation:
So 8*3=24 which corresponds with the formula for area l*w= Area
And perimeter means we add up all 4 sides so
8+8+3+3= 22
So the dimensions are 8 and 3
What is the x-intercept of the equation y = 2/3x + 12? Please explain each step for better understanding, thank you:)
Answer:
(-18, 0)
Step-by-step explanation:
The x intercept has a y value of 0. So, to find the x intercept, plug in 0 as y into the equation, and solve for x:
y = 2/3x + 12
0 = 2/3x + 12
-12 = 2/3x
-18 = x
So, the x intercept is (-18, 0)
Determine the values of n and m so that the following system have infinite number of solutions
Answer:
n = 3
m = -1/2
Step-by-step explanation:
Multiply the second equation by 4
4(n - 2)x + y = 4(n + m) Y is now correct.
4(n - 2) = 4 Remove the brackets
4n - 8 = 4 Add 8 to both sides
4n = 8 + 4 Combine
4n = 12 Divide by 4
n = 3 x is now correct
4(n - 2) = 4
4(3 -2) = 4
4 = 4
Now you have to worry about m
4(n + m) = 10
n = 3
4(3 + m) = 10 Divide by 4
m + 3 = 10/4
m + 3 = 2.5 Subtract 3 from both sides.
m = 2.5 - 3
m = - 1/2
In the right triangle ABC, angle A is 36 degrees.
Answer:
Step-by-step explanation:
The best way to start this question is to find the value of the big 3. The big three (on your calculator) are the sin cos and the tangent. Once you have them, the other three are just the reciprocals.
Sin36 = 0.588
Cos36= 0.809
Tan36 = 0.727
============
Now for the other three, which are not on your calculator (directly)
Csc(36) = 1/sin(36) = 1/0.588 = 1.70
Sec(36) = 1/cos(36) = 1/ 0.809 = 1.236
cot(36) = 1/tan(36) = 1/0.727 = 1.376
I don't know if you remember who marries who here. I always remember that cofunction goes with the non cofunction. So the sin and csc are going out together. The cot and tan are dating etc.
Simplify and find the perimeter of the triangle
Answer:
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
Answer:
Perimeter = - 2x - 19
Step-by-step explanation:
[tex]Perimeter \: of \: a \: triangle \\ = Sum \: of \: the \: length \: of \: all \: sides \\ = [2(x+5)]+[-3(2x+11)]+[ \frac{1}{2} (4x+8)] \\ = [(2 \times x)+(2 \times 5)]+[(-3 \times 2x)+( - 3 \times 11)]+[ (\frac{1}{2} \times 4x) + ( \frac{1}{2} \times 8)] \\ = (2x + 10) + ( - 6x - 33) + (2x + 4) \\ = 2x + 10 - 6x - 33 + 2x + 4 \\ = 2x - 6x + 2x + 10 - 33 + 4 \\ = - 2x - 19[/tex]
So, the perimeter is - 2x - 19.
Geometry, please answer question ASAP
Answer:
I'm going to say A and B (I think)
An investor has an account with stock from two different companies. Last year, his
stock in Company A was worth $6600 and his stock in Company B was worth $3500.
The stock in Company A has increased 7% since last year and the stock in Company B
has increased 1%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
Rational number between 1/3 and 1/9
Answer:
2/9
Step-by-step explanation:
LCM of 3 and 9 = 9
[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]
Factorize this and solve no p, q, s, t, w
explanation:
all the questions are solved
in question no. s and t u need to divide the number in two different parts to slove
for no. w we can get two type of solution.
p and q u need to give the power of whole .
You move down 5 units and up 5 units. You end at (1,3). Where did you start?
Answer:
(1, 3)
Step-by-step explanation:
Since up and down are opposites, the point didn't move at all.
I hope this helps!
pls ❤ and mark brainliest pls!
Is (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis a solution of the graphed system of inequalities?
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
If we mark the point at (3, -3), the we can tell that the point does not lie in any shaded region. This means that it is NOT a solution to the system.See the graph attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
No, (3, -3) is not the solution to the graphed system of inequalities.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
From the graph,
The point of intersection is (2, 3).
This is the solution to the graphed system of inequalities.
But,
(3, -3) is given as the solution which is not true.
Thus,
(3, -3) is not the solution.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
The area of the shaded sector of circle H is 32.
16
H
What is the area of the unshaded sector?
967
O 2247
32871
O 34571
Answer:
B
Step-by-step explanation:
Area of shaded region + Area of unshaded region = Area of circle
Area of the unshaded sector=256*pi-32*pi=224*pi
Answer:
radius Is 16
total area becomes pi r ^ 2 = 16^2 pi = 256pi
remaining area becomes
256 pi - 32 pi = 224 pi option b
brainliest pls
Acellus, Inscribed Angles
Find the value of y.
x
120°
Answer:
[tex]y=60\textdegree[/tex]
Step-by-step explanation:
The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.
Therefore, [tex]y=\frac{1}{2} *120\textdegree = \bf 60\textdegree[/tex]. Hope this helps!
69°
X/75°
36°
X =
degrees
Enter
Answer:
x = 105°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
x is an exterior angle of the triangle , then
x = 69° + 36° = 105°
