Answers
Answer:
B. -2, 2
Step-by-step explanation:
Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...
f(x) = 1/2x +1
If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.
1/2x +1 = √(x +2)
Squaring both sides, we get ...
1/4x² +x + 1 = x +2
1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides
x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4
(x -2)(x +2) = 0 . . . . factor the difference of squares
x = -2, 2 . . . . . . . . . values of x that make the factors zero
The solutions to f(x) = g(x) are x = -2 and x = 2.
_____
Additional comment
The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.
The square of (ax +b) is ...
(ax +b)² = a²x² +2abx +b²
The point-slope equation of a line is ...
y = mx + b . . . . . line with slope m and y-intercept b
Related Questions
blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00
Answers
Answer:
1/4 or .25
Step-by-step explanation:
You cross multiply which would give you 4x=1.
Find 20%of $2500 what is the answer
Answers
Answer:
20% of 2500 is 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
We need to determine 20% of 2500 now and the procedure explaining it as such
Step 1: In the given case Output Value is 2500.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2500 = 100%.
Step 4: In the Same way, x = 20%.
Step 5: On dividing the pair of simple equations we got the equation as under
2500 = 100% (1).
x = 20% (2).
(2500%)/(x%) = 100/20
Step 6: Reciprocal of both the sides results in the following equation
x%/2500% = 20/100
Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500
x = 500%
Therefore, 20% of 2500 is 500
Melinda creates jewelry. After purchasing supplies, she had $150 left in her account. She sells five bracelets and a necklace making her new account total $235. If the necklace sold for $22. 50, which equation can be used to determine the sales price of the bracelets?.
Answers
The equation that can be used to determine the sales price of the bracelets is $22.5
Amount in her account = $150
Amount in her account after sales = $235
Change in account balance = $235 - $150
= $85
cost of necklace = $22.5
let
bracelet = x
necklace = y
The equation:
Total sales = 5x + y
85 = 5x + 22.5
85 - 22.5 = 5x
62.5 = 5x
x = 62.5/5
x = $12.5
Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5
Learn more about equation:
https://brainly.com/question/4916384
Need help l don’t understand new topic
Answers
7x - 2 = 5x + 14
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
______
Hope it helps ⚜
Answer:
x = -8
Step-by-step explanation:
[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
According to the National Institute of Health, about 37% of high school seniors have vaped in the past year. Suppose that a survey contacts an SRS of 400 high school seniors and calculates the sample proportion, , in this sample who have vaped in the past year. What is the mean of the sampling distribution of ?
Answers
Using the Central Limit Theorem, it is found that the mean of the sampling distribution of sample proportions is 0.37.
The Central Limit Theorem establishes that, for a proportion p in a sample of size n, the sampling distribution of sample proportions has:
Mean [tex]\mu = p[/tex].Standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]For this problem, about 37% of high school seniors have vaped in the past year, hence [tex]p = 0.37[/tex].
Then, the mean of the sampling distribution of sample proportions is 0.37.For more on the Central Limit Theorem, you can check https://brainly.com/question/4086221
Mathematic 19 don’t understand
Answers
Answer:
1.75 x 10^3
Step-by-step explanation:
This is quite a simple question really, we just have to remember one thing, the exponent laws. When both exponents have the same base and are getting divided by each other, you subtract the exponents.
So in this case we have 10^8 on top divided by the 10^5 on the bottom, so now you just subtract the 5 from 8 and you get 3 as your final exponent. So your power would just be 10^3.
The final step is just dividing 7 by 4 which is 1.75
Combine the power and 1.75 together to get the correct notation
1.75 x 10^3
f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k
Answers
Answer:
k=-6-6=-12
Im pretty sure that's the answer
Which is the most popular shoe brand is it Experimental or Observational
Answers
Answer:
hear is ur answer....
Step-by-step explanation:
Observation market research is a technique which involves directly observing consumers or another target audience in their natural environment - for instance, watching how shoppers stop outside a fashion retailer, what they are drawn to in a window display and which direction they go after entering the store.
True or false 9x10^-5 is 0.01 times as much as 9x10^-3
Answers
Answer: The answer to this question is true.
What is the value of x?
Answers
Answer:
I am not sure the answer is , if its minus ,divade ,multiply or plus but down the answer is correct
Step-by-step explanation:
17x - 75
× = 75÷17
x= 4.4117647059
A firm employs many clerical workers making near minimum wage salaries and a few executives making much higher
salaries, a report from this firm says in one place that a typical annual salary of an eemployee is $25,000 and in another
place that a typical salary is $30,000. Assuming one of these values is the mean annual salary and the other is the median
annual salary, which is which?.
Answers
Answer:
30000 is mean, 25000 is median
Step-by-step explanation:
Just a logical explanation
if you have a lot of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more
and with executives making a lot more, the mean is 30000
sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median
Mrs. Owens had to call the local plumber to install a hot water heater. the equation y= 50x+75 is the relationship between his hours worked (x) and the amount of the bill (y).A. How much money did the plumber charge for the service call? How can you tell from the equation?B. How much is the plumber charging per hour? How can you tell from the equation?
Answers
Answer:
A. He charges 75 dollars for the service call because the y-intercept of the equation is 75.
B. He charges 50 dollars per hour because the slope of the equation is 50.
Step-by-step explanation:
The points (2, 1) and (0, –11) fall on a particular line. What is its equation in slope-intercept form?
Answers
Sarah has 42 quarters and dimes in her piggy bank which totals $8.25. How many quarters and dimes does she have
Answers
Troy assembles wooden toya at Tindall's Toy Shoppe. He is paid $1.46 for each snake, $1.11 ab each fan, and $1.74 for each teddy bear. Troy assembled 515 snakes, 982
fans and 669 teddy bears. What Is Troy's gross pay for this week? Round to the nearest cent.
Answers
Answer:
$3005.98
Step-by-step explanation:
did the math with calculator
Select the correct answer from each drop-down menu.
Consider this expression.
9/4x2 - 12x + 7x/x^2 - 9
The least common denominator of the two rational terms is ( )( )( )
Answers
The answer is in the image attached. I hope it is helpful.
The least common denominator of two given rational expression are 4x, (x-3) and (x+3).
What is the least common denominator of two rational terms?
The factored denominator of two rational terms are called least common denominator of two rational numbers.
How to find the least common denominator of two rational terms?To find the least common denominator of two rational terms, we factor the expression and multiply all the distinct factors.
According to the given question
We have two rational expressions
[tex]\frac{9}{4x^{2} -12x}[/tex] and [tex]\frac{7x}{x^{2} -9}[/tex]
Now let's factorize the denominators
[tex]4x^{2} -12x =4x(x-3)[/tex]
and, [tex]x^{2} -9=(x+3)(x-3)[/tex]
Therefore,
[tex]\frac{9}{4x^{2} -12x}+\frac{7x}{x^{2} -9}[/tex]
⇒[tex]\frac{9}{4x(x-3)} +\frac{7x}{(x-3)(x+3)}[/tex]
⇒[tex]\frac{9(x+3)+7x(4x)}{4x(x-3)(x+3)}[/tex]
Therefore, the least common denominator of two given rational expression are 4x, (x-3) and (x+3).
Learn more about least common denominator of two rational expression here:
https://brainly.com/question/10589435
#SPJ2
Identify the center and radius of the circle (x – 5)^2 + (y+1)^2 = 4.
²
O A. Center: (5,-1), r= 4
O B. Center: (-5,1), r = 4
C. Center: (5, -1), r= 2
O D. Center: (-5,1),r= 2
Answers
Answer:
The answer is C.
Step-by-step explanation:
The equation of a circle, centre (a, b), radius r is given by (x - a)² + (y - b)² = r².
50 points
Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of a and b in the table below? Round to the nearest tenth if necessary.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Picture frames
99
88
a
b
a = StartFraction 11 over 99 EndFraction; b = 11.1 percent
a = StartFraction 11 over 88 EndFraction; b = 12.5 percent
a = StartFraction 88 over 99 EndFraction; b = 88.9 percent
a = StartFraction 11 over 11 EndFraction; b = 100 percent
Answers
Answer:
a = StartFraction 11 over 88 EndFraction; b = 12.5 percent
a
because I did my research
Answer:
B. a=11/88 ; b=12.5%
Step-by-step explanation:
[tex]x(x^{2} +2x +4) -( x^{2} +2x + 4) . 2=0[/tex]
Answers
We have:
[tex]x(x^{2} +2x+4) - (x^{2} +2x+4).2 =0\\<=>(x^{2} +2x+4)(x-2)=0\\<=>x^3-8=0 \\<=>x^3=8\\<=>x^3=2^3\\<=>x=2[/tex]
ok done. Thank to me :>
A triangle has two sides of length 2 and 18. What is the largest possible whole-number length for the third side?
Answers
Answer:
19
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is
difference of 2 sides < x < sum of 2 sides , that is
18 - 2 < x < 18 + 2
16 < x < 20
Then the largest possible length of the third side is 19
At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation.
AND
Solve the system and interpret the answer.
Your Answer:
Answers
Answer:
[tex]x + y = 42,[/tex]
[tex]4x + 14y = 568,[/tex]
[tex]x = 2, y = 40[/tex]
Step-by-step explanation:
Learn the FULL explanation at: https://brainly.com/question/25629296
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?
Answers
Answer:
116.55$
Step-by-step explanation:
[tex]259 \times \frac{45}{100} = 116.55[/tex]
please help asap!!!!
Answers
Answer:
y > x+1 (D)
Step-by-step explanation:
this equation forms the same graph as shown in the question
Find measure of <1
Answer ASAP!!
Answers
Answer:
105 degrees
Step-by-step explanation:
since both sides of a line will add up to 180 we must subtract 75 from 180 since we already have 75 on the triangle side we subtract and get 105
Answer:
here
Step-by-step explanation:
60⁰+45⁰+X=180
105⁰+X=180⁰
X=180⁰-105⁰
hence X=75⁰
Now
<1=60⁰+75⁰
=135⁰
Plz mark as brainlist
Thank you ™
Erika ran 3/8 mile. Maria ran 3/4 mile. Who
ran farther?
Answers
Answer:
Maria, because 3/4=.75
Step-by-step explanation:
3/4=.75
3/8=0.375
The bigger number is 3/4
Simplify completely
x2 + 12x +35
3x + 15
Answers
[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]
Please help
What is the domain and range of the function
Answers
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)
2. Which identity could be the missing step to verify the identity (cos e )(csce)=cote? (1 point)
1
cose
= cote
seca
1
cos e
= cote
sin
1
sin e = cote
csce
cos e
= cote
tan
Answers
Answer:I hope it helps to you it's so important to you right♡
The identity could be the missing step to verify the identity
(cosФ)(cscФ) = cotФis, (cosФ)(1/sinФ) = cotФ.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f(x), with all x being real values, is said to be periodic.
We know, sin/cos = tan = 1/cot = cos/sin.
Given, (cosФ)(cscФ) = cotФ.
We know, sin = 1/csc.
Therefore,
(cosФ)(cscФ) = cotФ.
cosФ×1/sinФ = cotФ.
cosФ/sinФ = cotФ.
learn more about trigonometric identities here :
https://brainly.com/question/3785172
#SPJ7
What is the contrapositive of the statement below?
If you are in Reykjavik, then you are in Iceland.
Answers
Answer:
If you are not in Iceland, then you are not in Reykjavik.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The contrapositive of a statement is as follows:
"Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
So, for this one, we need to switch as well!
If you are in Reykjavik, then you are in Iceland.
If you are NOT in Iceland, then you are not in Reykjavik.
The answer would be D
A rental car company charges $51 per day to rent a car and $0.14 for every mile driven. Damian wants to rent a car, knowing that: He plans to drive 250 miles. He has at most $290 to spend. Use the drop-down menu below to write an inequality representing dd, the total number of days Damian can rent the car while staying within his budget.
Answers
Answer: Damian can rent the car for 5 days.
Step-by-step explanation:
Money for 250 miles driven - 0.14*250= 35
Day 1 - 35+51= 86
Day 2 - 86+51= 137
Day 3 - 137+51= 188
Day 4 - 188+51= 239
Day 5 - 239+51= $290
