Answers
Answer:
B) all real values of x except x=5
Step-by-step explanation:
If [tex]f(x)=x^2-25[/tex] and [tex]g(x)=x-5[/tex], then [tex]\bigr(\frac{f}{g}\bigr)(x)=\frac{f(x)}{g(x)}=\frac{x^2-25}{x-5}=\frac{(x-5)(x+5)}{(x-5)}[/tex].
Given that [tex]x-5[/tex] exists in both the numerator and denominator, this creates a hole on the graph of the function where [tex]x=5[/tex] since [tex]5-5=0[/tex]all real values of x except x=5 is correct.
Review the attached graph for more information
Related Questions
The area of a rectangle is calculated using the equation Area = length x width
What is the area of rectangle ABCD?
A. 6 Square Units
B. 441 Square Units
C. 21 Square Units
D. 49 Square Units
Answers
Answer:
441 (I think)
Step-by-step explanation:
I saw the answer in a quora post
16. In Chapter 5, you discovered that when you construct the three midsegments in a triangle, they divide the triangle into four congruent triangles. Are the four triangles similar to the original? Explain why or why not
Answers
Answer:
A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.
Step-by-step explanation:
What is the equation of the line that passes through the point (−5,7) and has a slope of -2/5
Answers
Answer:
y=-2/5x+5
Step-by-step explanation:
-2/5x because the slope is -2/5
5; solve for B by plugging in x=-5, y=7 into y=-2/5x+B
The function g(x) is graphed. Which statements about the function are true? Choose three options. O g(1) = -1 O g(0) = 0 O 94) = -2 -5 O g(1) = 1 O g- 1) = 1 in
Answers
Answer:
g(0) = 0
g(1) = 1
g(-1) = 1
Step-by-step explanation:
g(1) = -1 means that when 1 is inputted into the function, the output is -1.
Therefore, y = -1 when x = 1. From inspection of the graph, when x = 1, y = 1, therefore this is untrue.
g(0) = 0 ⇒ y = 0 when x = 0. From inspection of the graph, when x = 0, y = 0. Therefore this is true.
g(4) = -2 ⇒ y = -2 when x = 4. From inspection of the graph, we cannot read when x = 4, but y > 0 when x = 4. Therefore this is untrue.
g(1) = 1 ⇒ y = 1 when x = 1. From inspection of the graph, when x = 1, y = 1. Therefore this is true.
g(-1) = 1 ⇒ y = 1 when x = -1. From inspection of the graph, when x = -1, y = 1. Therefore this is true.
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answers
Given, A + B = 90°
Putting values, we get
7x + 4 + 4x + 9 = 90°
11x + 13 = 90°
11x = 90 - 13 = 77°
x = 7°
Now, m<A = 7x + 4
= 7(7) + 4 = 53°
Hope this helps :)
Answer:
m∠A = 53°
Explanation:
complement angle: : two angles that add up to 90 degrees.
solve:
7x + 4 + 4x + 9 = 90
7x + 4x = 90 - 9 - 4
11x = 77
x = 7
Find m∠A:
7x + 4
7(7) + 4
49 + 4
53°
145 Divided by 40,786
Answers
Answer:
0.00355514147
Step-by-step explanation:
Do Long Division
I need help find the value of x?
Answers
Add the two angles and then subtract from 180* to find the missing angle
So,
145* + 15* = 160*
180* - 160* = 20*
Answer: x = 20*
Solve this pls ✨ my teacher is crazy she give us so much work
Answers
Answer:
The photo
Step-by-step explanation:
All is wreaten in the photo
Solve by elimination:
4x+2y=8
8x+4y=16
Answers
Answer:
x = 1
y = 2
Step-by-step explanation:
for the first one it is that because 4 * 1 = 4 and then 2 * 2 equals 4 so 4 + 4 = 8
For the second one it is that because 8 * 1 = 8 and then 4 * 2 = 8 so 8 + 8 = 16!
If this helped you please mark brainliest!
Answer:
x = 1
y = 2
Step-by-step explanation:
cuz that is the answer i found
A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a radioactive substance. After 30 hours, 65 mg of the substance remains. How many milligrams will remain after 56 hours?
Answers
f(x) = abˣ
"A scientist begins with 130 milligrams", or we can word it differently.
when x = 0, f(x) = 130, which in short simply means a = 130.
"After 30 hours, 65 mg of the substance remains", worded differently.
when x = 30, f(x) = 65.
[tex]f(x)=ab^x~\hspace{10em}\underline{f(x)=130b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} ~\hfill x&=30\\ f(x)&=65 \end{cases}\qquad \implies 65=130b^{30}\implies \cfrac{65}{130}=b^{30}\implies \cfrac{1}{2}=b^{30}[/tex]
[tex]\sqrt[30]{\cfrac{1}{2}}=b\implies \cfrac{\sqrt[30]{1}}{\sqrt[30]{2}}=b\implies \cfrac{1}{\sqrt[30]{2}}=b~\hfill \underline{f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^x} \\\\[-0.35em] ~\dotfill\\\\ \textit{when x = 56, what is f(x)?}\qquad f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^{56}\implies f(x)\approx 35.647[/tex]
Math Whizzes I have freshman question-
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4).
What is the initial value of the exponential function shown on the graph?
0
1
2
4
Answers
Answer:
4
Step-by-step explanation:
Exponential functions are written in the form [tex]f(x)=ab^x[/tex]
[tex]a[/tex] is the initial value of an exponential function and is found by substituting [tex]x=0[/tex] into the function as [tex]b^0=1[/tex]
Therefore, as y = 4 when x = 0, the initial value is 4
help please it would be nice! and show work
Answers
Step-by-step explanation:
Given,GRAM is a parallelogramRG = 19RP = 12AR = 15Solution:i) Since,
Diagonals of a parallelogram bisect each other so,
RM = 2 × RP
=> RM = 2 × 12
=> RM = 24 (Ans)(i)
ii) Since,
Opposite sides of a parallelogram are equal so,
GM = AR = 15
=> GM = 15 (Ans)(ii)
iii) Since,
Opposite sides of a parallelogram are equal so,
AM = RG = 19
=> AM = 19 (Ans)(iii)
Given :
GRAM is a parallelogram where
RG = 19RP = 12AR = 15Solution :
We know that,
Opposite sides of a parallelogram are equal in length.Diagonals of a parallelogram bisect each other.So,
RG = 19
⇢ RG = AM [Opposite sides]
⇢ AM = 19 .
Since,
⠀⠀RP = 12
⇢ RM = 2(RP) [Diagonals bisect each other]
⇢ RM = 2(12)
⇢ RM = 24
Since,
⠀⠀AR = 19
⇢ AR = GM [Opposite sides]
⇢ GM = 15 .
please help me i need help with ratios
Answers
The first one is 1:4 and the second is 4:1.
All there is to do is simple division (or simplifying). In the first set of two numbers side length is 6 and perimeter is 24. So if it's side length to perimeter then 6 to 24 which can be simplified to 1 to 4 and just switch the numbers with perimeter to side length.
Answer:
1. Side length to perimeter = 1:4
2. Perimeter to side length = 4:1
Step-by-step explanation:
Ok, so ratios are basically a way to compare two things.
For example, if someone askes the ratio of boys to girls in Mrs. White's class. Say there are 12 boys and 9 girls.
boys to girls = 12 to 9
That's a ratio!
Ratios are typically written like "12 to 9" (with the word "to") or "12:9" (with a colon) but there are also other ways.
In THIS question, you have to find the ratio of side length to perimeter and then vice versa. So, we see that the first number listed for side length is 6, and the first number for perimeter is 24. As we look down the chart, we should notice a pattern- the perimeter is 4 times as much as the side length! Therefore, the ratio of side length to perimeter is 1:4. To find the ratio of perimeter to side length, we just switch the order of the numbers. Now it's 4:1.
There! It's pretty simple! You just are finding the unit ratio!
If you need any more help, let me know! :)
A town is designing a rectangular park that will be 600 feet wide by 1000 feet long. On a scale drawing, the dimensions of the park are 12 inches wide by 20 inches long. A rectangular area of the park for swing sets is 0. 5 inch wide by 2 inches long on the scale drawing. What is the actual length of the swing set area of the park? Enter your answer in the box. The actual length of the swing set area of the park is feet.
Answers
Scale drawing takes scaled versions of original lengths. The actual length of the swing set area of the park is 25 ft long and 100 ft wide
How are scale drawings formed?For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
For the given case, it is given that
Real dimension of a rectangular park : 600 ft by 1000 ft
In drawing, it was of 12 inches by 20 inches.
Let the scale that the drawing is using be k feet to s inches, then
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
Since it is given that 600 ft : 12 inches and 1000 ft : 20 inches, thus, we get:
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.\\\\600 \: ft = \dfrac{600\times s}{k} \: in. = 12 \: in.\\\\\dfrac{600 \times s}{k} = 12\\\\\dfrac{s}{k} = \dfrac{12}{600} = 0.02[/tex]
Thus, every feet is reduced 0.02 times in drawing.
Now,
it is given that in drawing, the rectangular area for swing sets is 0.5 inch to 2 inch.
Let its real length was L and real width was W. Then we have:
[tex]\rm L \times 0.02 = 0.5 \\\\L = \dfrac{0.5}{0.02} = 25 \:\\\\W \times 0.02 = 2 \\W = \dfrac{2}{0.02} = 100[/tex]
Since these are only magnitudes, and unit was converted from feet to inches, so we have L = 25 feet and W = 100 feet
Thus,
The actual length of the swing set area of the park is 25 ft long and 100 ft wide
Learn more about scaling here:
https://brainly.com/question/8765466
Answer:
the answer is 20
Step-by-step explanation:
Use the weights and measurements chart to answer the following question. Sometimes it is necessary to convert units of measurement.
How many tons in 5,000 lb?
(Clue Its a divided with mixed numbers)
Answers
Formula:
[tex] \frac{5000}{2000} [/tex]
[tex] = > \frac{5}{2} [/tex]
[tex] = > 2.5[/tex]
Hence, 5000 Pound is equal to 2.5 Ton.
Step-by-step explanation:
The unit of weight in the avoirdupois system equal to 2,000 pounds in the United States and 2,240 pounds in Britain. The metric ton used in most other countries is 1,000 kg, equivalent to 2,204.6 pounds.
Answer: 2 1/2
Step-by-step explanation:
HELP PLEASE
Find the value of x.
110°
50
5x
A. 10
B. 36
C. 8
O D. 12
Answers
5x = 110-50
5x =60
x = 12
1. Sam borrowed $3,200 from a credit company. He agreed to pay $110 per month for 5 years. Find the total amount he repaid and the amount of interest he paid.
Answers
Answer:
6600?
Step-by-step explanation:
110 x 12 = 1320
1320 x 5 = 6600
(I suck at math)
A 21 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground if 14 foot from the base of the building. How high up the wall does the ladder reach
Answers
Answer:
15.65 foot
Step-by-step explanation:
Pythagoras theorem can be used
a² + b² = c²
a being 14
b being unknown ( x )
c being 21
hence,
14² + x² = 21²
196 + x² = 441
x = √245
= 15.65 foot (answer)
Which expressions represent a quadratic expression in factored form?
(x - 3)(x + 2)
(x + 4) - (x + 6)
5(x + 9)
3 x2 + 8x
(x - 1)(x - 1)
Answers
[tex]ax^2+bx+c=a(x-x_1)(x-x_2)=>\\\text{Ans:} (x-3)(x+2)[/tex]
You have a coupon for 20% off your total. Your total comes to $45.26. How much will you get off your total?
Answers
Answer:
$9.05
Step-by-step explanation:
We need to find 20% of 45.26
20% = 20/100 = 1/5 = 0.2
Of is related to multiplication
So, 20% OF 45.25 is 0.2 times 45.26
0.2 * 45.26 = 9.052
9.052 needs to be rounded to 9.05
The answer is $9.05
Hope this helps :)
Have a great day!
Alyssa is learning to drive her parents' car. • • • • She increases her speed for 20 seconds. She slows down for 10 seconds. She stays approximately the same speed for the next 20 seconds. She then slows down to a stop for the last 5 Select the graph that best seconds. represents Alyssa's speed over time
Answers
Explanation:
Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.
If she slows down, then the graph will move downhill when going left to right.
Always move from left to right when reading a graph because this is how the time axis is set up.
Any flat part represents portions where her speed is constant, i.e. doesn't change.
With all that in mind, the answer is choice D because
The first portion is going uphill (she's increasing her speed). This portion spans horizontally from 0 seconds to 20 seconds.The next portion is her slowing down (the graph is going downhill). This portion spans horizontally from 20 seconds to 30 seconds (so we have a 10 second duration).The third portion is where Alyssa is driving at some fixed speed that doesn't change. This portion is 20 seconds long.The last portion is Alyssa slowing down and coming to a complete stop. This portion is 5 seconds long.whats the area of this tile
Answers
Answer:
9
Step-by-step explanation:
3 times 3 is 9
Answer:
9in.²
Step-by-step explanation:
just multiply the length n height = 3 × 3
= answer
find the measure of angle A of the following triangle
Answers
Answer:
48.2° (1 d.p.)
Step-by-step explanation:
Start by labelling the given sides on the triangle.
The side in which the angle of interest and the right angle sits on is the adjacent side, while the side facing the right angle is the hypotenuse side (denoted by hyp).
[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]
[tex]\cosθ = \frac{6}{9} [/tex]
[tex]θ = \cos^{ - 1} ( \frac{6}{9} )[/tex]
θ= 48.2° (1 d.p.)
How do i do this problem.
Answers
Answer:
(8, 5): No
(8, 0): Yes
(4, -2): Yes
(-6, -4) No
Step-by-step explanation:
For this question, it is very easy, you just substitute the values under (x,y) into the equation above
The equation is: 3x - 7y > 10
And the x and y values are
(x, y)
(8, 5)
(8, 0)
(4, -2)
(-6, -4)
x values: 8, 8, 4, -6
y values: 5, 0, -2, -4
An ordered pair tells you the location of a point by relating the point's location along the x-axis (the first value of the ordered pair) and along the y-axis (the second value of the ordered pair). In an ordered pair, such as (x, y), the first value is called the x-coordinate and the second value is the y-coordinate.
Now that we know everything, we set up the equation to see if the ordered pair is a solution or not
3x - 7y > 10
Let's substitute (8, 5) into the equation
3(8) - 7(5) > 10
Multiply the numbers
3(8) becomes 24 and -7(5) becomes -35
24 - 35 > 10
-11 > 10
False
So the ordered pair (8,5) is not a solution to the equation
Now for the next ordered pair: (8, 0)
3x - 7y > 10
Let's substitute (8, 0) into the equation
3(8) - 7(0) > 10
3(8) becomes 24 and -7(0) becomes 0
24 - 0 > 10
24 > 10
True
So the ordered pair (8, 0) is a solution to the equation
Now for the next ordered pair: (4, -2)
3x - 7y > 10
Let's substitute (4, -2) into the equation
3(4) - 7(-2) > 10
3(4) becomes 12 and -7(-2) becomes a positive 14, and remember that a negative times a negative becomes a positive
12 + 14 > 10
26 > 10
True
So the ordered pair (4, -2) is a solution to the equation
Now for the next ordered pair: (-6, -4)
3x - 7y > 10
Let's substitute (-6, -4) into the equation
3(-6) - 7(-4) > 10
3(-6) becomes -18 and -7(-4) becomes a positive 28
-18 + 28 > 10
10 > 10
False
Since they are the same number, they should be equal to
So the ordered pair (-6, -4) is not a solution to the equation
Solve by elimination
6x+2y=42
8x-4y=36
I will mark as brainliest
Answers
Answer:
x=6, y=3
Step-by-step explanation:
6x +2y=42------(1)
8x-4y=36-------(2)
We can actually simplify it, this makes it easier to do and can avoid alot of careless mistakes
3x+y=21---(1)
2x-y=9----(2)
next, we can see that y can be eliminated
(1)+(2),
5x=21 +9
x = 30/5
x=6
substitute x=6 into (2),
2(6)-y=9
y=3
Lastly ,make a conclusion
Thus, x=6, y= 3
[tex] 6x + 2y = 42 \\ 8x - 4y = 36[/tex]
Simplify the first equation
[tex]y = 18 \\ 8x - 4y = 36[/tex]
Multiply both sides of second equation by 1/4
[tex]y = 18 \\ 2x - y = 9[/tex]
Sum the equations vertically to eliminate at least one variable
[tex]x = \frac{27}{2} [/tex]
The possible solution of the system is the ordered pair (x,y)
[tex] (x,y) = ( \frac{27}{8} , 18)[/tex]
area of a rectangle is 6x^2 + 5x - 6 and the length is 3x - 2. What expression
represents the width?
Answers
Answer:
First one
2x+3
Step-by-step explanation:
We can factorise the area:
6x²+9x-4x-6
3x(2x+3)-2(2x+3)
(3x-2)(2x+3)
So the width is 2x+3
Tell which property the statement x+14=14+x illustrates.
Answers
Answer:associative property of addition
Step-by-step explanation:The associative property of addition says that changing the grouping of the addends does not change the sum.
plz help me please please please please please
Answers
w = 55
y = 55
X = 125
z = 125
Step-by-step explanation:
Angles with in a cube add up to 360 degrees
Answer:
w = 55 (vertical to 55)
y = 55 (corresponding to 55)
x = 125
z = 125
Step-by-step explanation:
55+55=110
a parallelogram = 360
360-110=250
x+z=250
x=z
250/2=125
-7s+3s-6=14 what is the s
Answers
Answer:
s= -5
Step-by-step explanation:
-7s + 3s - 6 = 14
-4s = 20
s = -5
Answer:
-5
Step-by-step explanation:
-7s+3s-6=14
combine like terms
-4s-6=14
add 6 to both side
-4s=20
divide by 4
-1=5
x-1
1=-5
(-7x-5)+(3x-5)-6
(-4x-5)-6=14
20-6=14
A number from 0 to 9 is randomly selected and then a letter from A to D is randomly selected. What is the probability that the number 3 and a consonant are selected?
Answers
Answer:
[tex]\frac{1}{10}*\frac{3}{4} =\frac{3}{40}[/tex]
Step-by-step explanation:
There are 10 numbers 0,1,…9
Probability that 3 is selected is [tex]\frac{1}{10}[/tex]
Again, there are 4 letters A,B,C & D of which 3 are consonants and 1 is vowel. So, probability of selecting a consonant is [tex]\frac{3}{4}[/tex] . Hence, the required probability is [tex]\frac{1}{10} *\frac{3}{4} = \frac{3}{40}[/tex]
Brainliest?!