Answer:
x = -8 & at x = 3
Step-by-step explanation:
This is a rational function.
We can get the values of x at which vertical asymptotes occur by setting the denominator equal to 0 and solving for x.
Let's do this:
[tex]x^2+5x-24=0\\(x+8)(x-3)=0\\x=-8,3[/tex]
Hence, vertical asymptotes occur at x = -8 & at x = 3
5. Triangle MNO is an isosceles
triangle in which only one angle
measures 122.6°. What is the
angle measure of one of the two
congruent angles?
The measure of the congruent angle of the triangle MNO will be 28.7°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
Triangle MNO is an isosceles triangle in which only one angle measures 122.6°.
Let the measure of the congruent angle be 'x'. Then the equation is given as,
x + x + 122.6° = 180°
2x = 180° - 122.6°
2x = 57.4°
x = 28.7°
The measure of the congruent angle of the triangle MNO will be 28.7°.
More about the triangle link is given below.
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If f(x)=2x+2and g(x)=x^3, what is (g•f)(2)
Answer: 2x^3+4x+4 would be the answer.
Step-by-step explanation: x^2 can only be combines with another variable with the same exponent. Then you just multiply the whole equation by 2. Hope this helps!
Can (3,5 and square root 34) be sides on a right triangle?
Answer:
Yes, they are.
Step-by-step explanation:
Remember that a triangle is only a right triangle if its sides meet this mathematical requirement:
(leg)² + (leg)² = (hypotenuse)²
The hypotenuse of a right triangle is the longest side, while the legs are the two shorter sides. We can't say exactly where √34 is, but since √25 = 5 and √36 = 6, we know it must be at least bigger than 5, making it the triangle's longest side.
Using √34 as the "hypotenuse" and 3 and 5 as the "legs" of our triangle makes the equation 3² + 5² = (√34)², and simplifying gets us
9 + 25 = 34
34 = 34
The requirement's been met, so yes, this is a right triangle.
the length and width of a rectangle are consecutive even integers. the area of the rectangle is 8 square units. what are the length and width of the rectangle?
Answer: 4 feet and 2 feet
Step-by-step explanation: The only factor of 8 that is an even integer is 4 and 2. So the answer is 4 feet and 2 feet.
Point A (7,3) is translated to A'(16,-9). Which rule describes the translation?
Answer:
(x + 9, y - 12)
Step-by-step explanation:
It's just telling the change from the pre image to the post image. Sorry for the lame explanation lol
Answer:
D (x.y) right arrow (x + 9, y - 12)
Step-by-step explanation:
hello this is the answer yw have a wonderful day!! :)
Please I need help I am stuck on this !!
Let's first find the slope
To find the slope you can use any two points in the table. The following are the two I picked:
(-3, 18) and (0, 12)
The formula for slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =12\\y_{1} =18\\x_{2} =0\\x_{1} =-3[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{12 - 18}{0 - (-3)}[/tex]
[tex]\frac{-6}{3}[/tex]
Simplify to...
-2
^^^This is your slope
Y-intercept is where the graph intersect with the y axis, which makes the x value 0. This means that the coordinate should look like so...
(0, y)
In this case the y-intercept is:
(0, 12)
Your answer is B!
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
B. The slope is -2, and the y-intercept is 12.
Step-by-step explanation:
Slope formula:
↓
[tex]\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
Slope-intercept formula:
↓
[tex]Y=MX+B[/tex]
[tex]\frac{12-18=-6}{0-(-3)=3}=\frac{-6\div3}{3\div3}=\frac{-2}{1}=-2[/tex]
Therefore, the answer is B.
If F(x) = x^2+ 5x and G(x) = 2x + 1, find F(5) + G(6).
Answer:
The value of F(5) + G(6) is 63.
Step-by-step explanation:
[tex]F(x)=x^2+5x[/tex]
[tex]G(x)=2x+1[/tex]
Value of F(x) , x = 5
[tex]F(5)=5^2+5\times 5=50[/tex]
Value of G(x) , x = 6
[tex]G(6)=2\times 6+1=13[/tex]
F(5) + G(6) :
= 50 + 13 = 63
The value of F(5) + G(6) is 63.
Write two fractions with different denominators whose LCD is 45
Answer:
2/5 and 8/9 (answers can vary)
Step-by-step explanation:
The lcm of 5 and 9 is 45 so that works for our denominators.
So 2/5 and 8/9 (the answers are many)
Answer:
1/45 and 8/90
Step-by-step explanation:
Between these two fractions, the lowest shared denominator is 45.
Evaluate the following expression.
(-6) 2
0 -36
0 -1/36
1/36
36
Answer:
36
Step-by-step explanation:
(-6)^ 2
-6*-6 = 36
write and simplify a multiplication expression to represent 5^4
Answer:
Step-by-step explanation:
5 * 5 * 5 * 5
= 625
ANSWER
[tex] {5}^{4} = 625[/tex]
EXPLANATION
We want to simplify the exponential expression 5⁴ by writing and simplifying a multiplication expression that represents it.
This implies that
[tex] {5}^{4} = 5 \times 5 \times 5 \times 5[/tex]
This simplifies to
[tex]{5}^{4} = 25 \times 2 5[/tex]
We finally obtain:
[tex] {5}^{4} = 625[/tex]
for what value of a does (1/7)^(3a+3)=343^(a-1)
Answer:
a = 0Step-by-step explanation:
[tex]\left(\dfrac{1}{7}\right)^{3a+3}=343^{a-1}\qquad\text{use}\ a^{-n}=\left(\dfrac{1}{a}\right)^n\\\\7^{-(3a+3)}=(7^3)^{a-1}\qquad\text{use the distributive property}\\\\7^{-3a-3}=7^{3a-3}\iff-3a-3=3a-3\qquad\text{add 3 to both sides}\\\\-3a=3a\qquad\text{subtract}\ 3a\ \text{from both sides}\\\\-6a=0\qquad\text{divide both sides by (-6)}\\\\a=0[/tex]
In the figure below what is the value of x
Answer:
127
Step-by-step explanation:
As we know that the sum of all angles of a triangle is 180°.
So, here we will apply this knowledge.
[tex]115\°+12\°+x\°=180\°[/tex]
[tex]127\°+x\°=180\°[/tex]
Now, we will subtract 127° from both sides of the equation, and we get;
[tex]x\°=180\°-127\°[/tex]
[tex]x\°=53\°[/tex]
Therefore,[tex]x=53.[/tex]
The value of x° is 53°.
Hence, the third angle in the given triangle is 53°.
What is a triangle?A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same.
What is called triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC. Examples of Triangles. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.
What are the parts of a triangle?All triangles have three sides and three corners (angles). The point where two sides of a triangle meet is called a vertex. The base of a triangle can be any one of its three sides, but it is usually the bottom one.
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Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in
exponential form by filling in the boxes for exponents.)
please help me
the greatest common factor of 270 and 360 is 90.
because 2 x 3 x 3 x 5 = 90
the factors of each number is:
270: 1, 270, 2, 135, 3, 90, 5, 54, 6, 45, 9, 30, 10, 27, 15, 18
360: 1, 360, 2, 180, 3, 120, 4, 90, 5, 72, 6, 60, 8, 45, 9, 40, 10, 36, 12, 30, 15, 24, 18, 20
Annabelle works in a deli and has been tracking the daily sales of different items over several months. Annabelle found that when there was an increase in the number of cups of hot chocolate sold, the number of cups of coffee sold also increased. Similarly, when there was a decrease in the number of cups of hot chocolate sold, the number of cups of coffee also decreased.
Which of the following is a valid conclusion?
A.
There is no correlation between the sale of hot chocolate and the sale of coffee.
B.
The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
C.
No conclusion can be drawn about the correlation or causation of the sale of hot chocolate and the sale of coffee.
D.
The increase in the sale of hot chocolate caused an increase in the sale of coffee.
Answer:
B. The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee
Step-by-step explanation:
Lets define correlation first:
Correlation is the connection or link between two things. We have to remember that both things or events being correlated doesn't mean that one is caused by the other.
By observing the given question we can conclude that the the increase in sale of hot chocolate is correlated to the sale of coffee but none of them is caused by each other.
Hence, the correct answer is:
B. The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee..
Answer:
The correct answer is B
Step-by-step explanation:
On a DVD, information is stored on bumps that spiral around the disk. There are 73,000 ridges (with bumps) and 73,000 valleys (without bumps) across the diameter of the DVD. What is the diameter of the DVD in centimeters? Round your answer to the nearest whole number.
Answer:18542
Step-by-step explanation:simplemath
The diameter of the circular DVD is d = 12 cm
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the diameter of the circular DVD be d
The total number of ridges = 73,000
The total number of valleys = 73,000
The width of each ridge = 0.000032 cm
The width of each valley = 0.000074 cm
The length of center portion c = 4.26 cm
And , the diameter of circular DVD = total width of ridges + total width of valleys + center portion
The total width of ridges = ( 0.000032 cm ) x 73,000
The total width of valleys = ( 0.000074 cm ) x 73,000
So , the total width of ridges and valleys = 73,000 ( 0.000106 ) = 7.738 cm
On simplifying , we get
The diameter of circular DVD d = 7.738 cm + 4.26 cm
The diameter of circular DVD d = 11.998 cm
The diameter of circular DVD d ≈ 12 cm
Hence , the diameter of the circular DVD is 12 cm
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A large rectangular movie screen in an IMAX theater has an area of 6,699 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide
Length =
Width =
Answer:
Length=87 ft
Width=77 ft
Step-by-step explanation:
Let
L ----> the length of rectangular movie screen
W ----> the width of rectangular movie screen
we know that
The area is equal to
[tex]A=LW[/tex]
[tex]A=6,699\ ft^{2}[/tex]
so
[tex]6,699=LW[/tex] ----> equation A
[tex]L=W+10[/tex] ----> equation B
substitute equation B in equation A
[tex]6,699=(W+10)W\\ \\W^{2} +10W-6,699=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]W=77\ ft[/tex]
see the attached figure
Find the value of L
[tex]L=77+10=87\ ft[/tex]
A season pass to the local water park costs 84. If you go to the park ten times during the season, what is the unit rate of cost per visit?
Answer:
$8.40
Step-by-step explanation:
To find the unit rate, take the total cost and divide by the number of times that you went
84/10
8.4
The unit rate (or cost per visit) is $8.40
Answer quick please Points N, P, and R all lie on circle O. Arc PR measures 120° How does the measure of angle RNQ relate to the measure of arc PR?
A.Angle RNQ is equal in measure to arc PR.
B.Angle RNQ is half the measure of arc PR.
C.Angle RNQ is twice the measure of arc PR.
D.Angle RNQ is four times the measure of arc PR.
Answer:
Option A. Angle RNQ is equal in measure to arc PR.
Step-by-step explanation:
we know that
The triangle NOR is an equilateral triangle, because has three equal sides
NO=OR=RN ----> radius of the circle O
therefore
The interior angles of the triangle NOR measures 60 degrees each
so
∠RNO=60°
Find the measure of angle RNQ
we have that
∠RNO+∠RNQ=180° ------> by supplementary angles (linear pair)
substitute
60°+∠RNQ=180°
∠RNQ=180°-60°=120°
we know that
arc PR= 120° ----> see the graph
therefore
∠RNQ=arc PR
Angle RNQ is equal in measure to arc PR.
Answer:
it’s a
Step-by-step explanation:
if a school has w women and M men and you know that there are 100 more men than women write an algebraic equation relating W and M
Answer:
W+100=M
Explanation:
So the problem says there will always be 100 more men than woman. So that would mean you just have to add the amount of women and 100 to find the number of men. For example, if there are 3 women, there will be 103 men.
Hope this helps ;)
Certainly! To create an algebraic equation representing the given situation, we can use the information that there are 100 more men than women at the school.
Let's use the variables:
- \( W \) to represent the number of women
- \( M \) to represent the number of men
The key piece of information that we have is that the number of men is 100 more than the number of women. We can write this relationship with an equation:
\[ M = W + 100 \]
This equation states that if you take the number of women (\( W \)) and add 100 to it, you will get the number of men (\( M \)). It directly translates the information given into an algebraic equation, showing the relationship between the number of women and the number of men in the school.
A cylinder with a base diameter of x units has a volume of πx3 cubic units. Which statements about the cylinder are true? Check all that apply.
The radius of the cylinder is x units.
The radius of the cylinder is 2x units.
The area of the cylinder’s base is πx2 square units.
The area of the cylinder’s base is πx2 square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Answer:
The height of the cylinder is 4x units
Step-by-step explanation:
see the attached document
Answer:
The answer is 1,3, and 6 Hope this helps
Step-by-step explanation:
Find the value of x.
A. 4 root 2/ 2
B. 4
C. 4 root 2
D. 4 root 3
Answer:
C. 4 root 2
Step-by-step explanation:
Total amount of angles = 45° + 45° = 90°
sin90 * 4 root 2 = 5.656854
Answer:
4
Step-by-step explanation:
You will either use cos or sin solve this problem
1. set up the problem like this
x/sin 45 x 4 root 2/sin 90
2. cross multiply (it will be useful to use calculator or if you know unit circle then you're good)
sin 90 = 1 and sin 45 = .7071067812 (don't really need to know this)
1x = (sin 45 x 4 root 2)
3. Solve for x like normal
1x = 4
1x/1 = 4/1
x = 4
Use the properties of exponents to rewrite the expression.
5e•5e•5e•5e
Answer:
(5e)^4
Step-by-step explanation:
samuel had some carnival tickets to sell. he sold 5/9 of them on monday and 1/8 of the remainder on tuesday. he sold the remaining 98 tickets on wednesday. each ticket was sold at $5 each. how many tickets were sold on tuesday?
Answer:
poooooooooooooooooop
Step-by-step explanation:
- Dr. Watson combines 400 mL of detergent,
800 mL of alcohol, and 1,500 mL of water.
How many liters of solution does he have?
A 2.7 liters C 270 liters
B 27 liters D 2,700 liters.
Please give explanation on how you get the answer
If 20% of a number is 12, what is 30% of the same number?
Answer:
The answer would be 18.
Step-by-step explanation
If 20% of a number is 12, then 30% of that same number would be 18. This means that the number would be 60 (6×2=12, 6×3=18). Hope this helps you to understand your math problem better!
Perform the indicated operation. x+5/3 -x-3/2=
Step-by-step explanation:
to add or subtract in this case you have to the same common denominator. but what ever you do to the denominator you have to do to the numerator. top = numerator and bottom = denominator.
Answer:
[tex]-x+19/6[/tex]
Step-by-step explanation:
Solve the inequality: x+7 < 4 or 7-x < 1 Please show all work!
Answer:
[tex]\large\boxed{x<-3\ or\ x>6}[/tex]
Step-by-step explanation:
[tex]x+7<4\qquad\text{subtract 7 from both sides}\\\\x+7-7<4-7\\\\x<-3\\\\7-x<1\qquad\text{subtract 7 from both sides}\\\\7-7-x<1-7\\\\-x<-6\qquad\text{change the signs}\\\\x>6[/tex]
Step-by-step explanation:
all work is pictured and shown
What system of equations is shown on the graph below?
x - 2y = -4 and 2x + y =4
x - 2y = 4 and 2x + y = 4
x - 2y = -2 and 2x + y = -4
x - 2y = 2 and 2x + y =4
Answer:
x - 2y = 4 and 2x + y = -4Step-by-step explanation:
Look at the picture.
Read the coordinates of intercepts of each line.
Put them to slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The blue line:
(4, 0), (0, -2) → b= -2
[tex]m=\dfrac{-2-0}{0-4}=\dfrac{-2}{-4}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}[/tex]
Substitute the values of a slope and an y-intercept to the equation of a line:
[tex]y=\dfrac{1}{2}x-2[/tex]
Convert to the standard form [tex]Ax+By=C[/tex]:
[tex]y=\dfrac{1}{2}x-2[/tex] multiply both sides by 2
[tex]2y=x-4[/tex] subtract x from both sides
[tex]-x+2y=-4[/tex] change the signs
[tex]x-2y=4[/tex]
The red line:
(-2, 0), (0, -4) → b= -4
[tex]m=\dfrac{-4-0}{0-(-2)}=\dfrac{-4}{2}=-2[/tex]
[tex]y=-2x-4[/tex] add 2x to both sides
[tex]2x+y=-4[/tex]
The answer is B.
Hope it helps
A newspaper advisor claims that an advertisement would increase sales by 35%. Sales are currently $500 per month. What will be the predicted sale in three years?
Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solutions are correct?
He is correct because both solutions satisfy the equation.
He is not correct because he made a sign error.
He is not correct because there are no solutions.
He is not correct because there is only one solution: x = 5.
Answer:
He is not correct because he made a sign error.
Step-by-step explanation:
-2 |8-x| - 6 = -12
-2 |8-x| = -12 + 6
-2 |8-x| = - 6
2 |8-x| = 6
|8-x| = 3
2 possible solutions:
8-x = 3 ----> x = 5
or
8-x = -3 ----> x = 11
Comparing the answer choices, we can see that Johan got the sign of x = 11 wrong.
Hence the correct answer is:
He is not correct because he made a sign error.
Answer: Just did it on ed, answer is "He is not correct because he made a sign error."
Step-by-step explanation: