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
2) A gym charges a $30 membership fee and $10 per month. Write an
equation to represent this situation. Find the cost for 5 months. If a new
member paid $160, how many months did they go to the gym?
Answers
C = 10m + 30, where C is total cost and m is # of months
C = 10(5) + 30
C = 50 + 30
C = $80
$160 = 10m + 30
160 - 30 = 10m
130/10 = m
m = 13 months
Hope that helps
Steven has $150. John has J dollars. Steven has 30 less than 2 times the amount John has. How much does John have?
Answers
Answer:
J = 90
John has 90 dollars.
Step-by-step explanation:
We need to find how much money John has. To find how much J equals we need to break it down.
We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.
Steven has 30 less than two times the amount John has.
So 150 + 30 = 180
180 is two times the amount John has.
Because 180 is two times the amount John has we need to divide by two.
180 ÷ 2 = 90.
J = 90. Therefore John has 90 dollars.
This question was tricky! I hope I helped a little! Have a great day!!
What is the length of side a?
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)
So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)
Now, let's solve ~
[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex][tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex][tex] \sf16 + 9 = {a}^{2} [/tex][tex] \sf \: a {}^{2} = 25[/tex][tex] \sf \: a = \sqrt{25} [/tex][tex] \sf \: a = 5 \: units[/tex]Therefore, Length of side a is 5 units ~
PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!!
Answers
Answer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
Answers
6 boxs she will only have 5 dollors left
also what kind of persom buys 6 pizza boxes for 4 friends
Plz Help...Math..................
Answers
Answer:
6 tons
Step-by-step explanation:
450x12=5,400
550x12=6,600
5,400+6,600=12,000 lbs.
12,000 ÷ 2,000=6 tons
The department of education decides to require an additional 2 tests per year of standardized test for all 10th graders. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
Answers
If this is right may I have brainliest?
[tex]\sqrt{x} ^{2}-\sqrt{27}[/tex]
Answers
Answer:
[tex]x - 3\sqrt{3} [/tex]
Study hard!
Brainliest please thank you!
work out the height of a triangular crosse section with the volume of 35cm
Answers
The answer is 2.5 cm.
Sorry if I am incorrect
What type of triangle is ACD?
Thank u
Answers
Answer:
equilateral triangle
Step-by-step explanation:
B. equilateral triangle
Find the Principal:
$65 interest
2% interest rate
9 months
Answers
Answer: P = 36.11111
Step-by-step explanation:
Formula: P = I / (RT)
65 / (.02*9)
(.02 is the decimal form of 2%)
65 / 1.8 = 36.111111111
P = 36.111111 (Unsimplified answer)
Correct me if it is incorrect.
which number s below belong to the solution set of the inequality check all that apply 4 times less than 112 pls help me
Answers
The values of "s" that belongs to the solution set must be less than 28.5
The inequality that represents the statement 4 times "s" less than 112 is expressed as;
4s < 112Divide both sides of the inequality expression by 4 as shown:
4s/4 < 114/4
s < 114/4
s < 28.5
Hence the values of "s" that belongs to the solution set must be less than 28.5
Learn more on inequalities here: https://brainly.com/question/12371526
Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.
The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.
The correct form of the sentence in sentence 3 should be:
"Previously, only amateur players, like college athletes, were allowed to participate."The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:
= -3(2x - 5) < 5(2 - x)
= -6x + 15 < 10 - 5x
By collecting the like terms, we have:
= 15 - 10 < -5x + 6x
= x < 5
Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
NOTE: The third question is a repetition of an incomplete question.
Learn more about sentences here:
https://brainly.com/question/4955765
What is the formula for guess work pricing?
Answers
Answer:
What is the formula for pricing?
Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.
Step-by-step explanation:
9 plus 10 equals?
A. 21
B. 21
C. 19
D. 21
Answers
Answer:
C 19
Step-by-step explanation:
Answer:
[tex]9+10=19[/tex]
[tex](-\frac{3n}{18n^{2} } )^{-18} * (-6n)^{-15}[/tex]
Answers
[tex]\left( - \dfrac{3n}{18n^2}\right)^{-18} \times(-6n)^{-15}\\\\\\= \left(-\dfrac{1}{6n} \right)^{-18} \times \dfrac{1}{(-6n)^{15}}\\\\\\=\left[(-6n)^{-1}\right]^{-18} \times \dfrac 1{(-6n)^{15}}\\\\\\=(-6n)^{18} \times \dfrac 1{(-6n)^{15}}\\\\=(-6n)^{18-15} \\\\=(-6n)^3\\\\=-216n^3[/tex]
Name the marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!
Answers
Answer: Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.
angle KJL and LJK
is the answer i think
The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings
Answers
Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.
This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.The rule of three is:
3 pitchers - 11 innings
1 pitcher - x innings
Applying cross multiplication:
[tex]3x = 11[/tex]
[tex]x = \frac{11}{3}[/tex]
11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:
Each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.You can learn more about proportions at https://brainly.com/question/24372153
Determina el lado faltante de cada triángulo presentado emplea dos cifras decimales
Answers
Listamos los lados faltantes a continuación:
[tex]c \approx \sqrt{34}\,cm[/tex] [tex]z \approx 5.098\,cm[/tex] [tex]p = 5\,cm[/tex] [tex]l\approx 3.680\,cm[/tex]El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:
[tex]c^{2} = a^{2}+b^{2}[/tex] (1)
La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.
A continuación, procedemos a resolver cada caso:
1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]
[tex]c = \sqrt{a^{2}+b^{2}}[/tex]
[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]
[tex]c \approx \sqrt{34}\,cm[/tex]
2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]
[tex]z = \sqrt{x^{2}-y^{2}}[/tex]
[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]
[tex]z \approx 5.098\,cm[/tex]
3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]
[tex]p = \sqrt{n^{2}-m^{2}}[/tex]
[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]
[tex]p = 5\,cm[/tex]
4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]
[tex]l = \sqrt{m^{2}+s^{2}}[/tex]
[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]
[tex]l\approx 3.680\,cm[/tex]
Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682
Order them from least to greatest
5(exponent 0), 5(exponent 4), and 5(exponent -5)
Answers
5^-5, 5^0, 5^4
Explanation:
5^-5 would end up being in the negatives,
5^0 would end up equaling 5 or 0
5^4 is automatically more than 5^0 because 4 is greater than 0.
Use the line of best fit to estimate the French score for a student who got 65 in maths.
Answers
Using a linear function, it is found that the estimated French score is of 38.1875.
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).
The slope is given by change in the output divided by the change in the input, hence:
[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]
Then:
[tex]y = -0.4875x + b[/tex]
Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.
[tex]y = -0.4875x + b[/tex]
[tex]65 = -0.4875(10) + b[/tex]
[tex]b = 69.875[/tex]
Hence:
[tex]y = -0.4875x + 69.875[/tex]
For a student who got 65 in math, x = 65, and hence:
[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]
The estimated French score is of 38.1875.
For more on linear functions, you can check https://brainly.com/question/16302622
The sum of Ellie's age and Genya's age is 60. In sex years, Genya will be eight times older than Ellie will be. How old is Ellie now?
Answers
Answer:
ellie is 2 and genya is 58, explanation in picture attached
A $28 video game is advertised for 20% off. Find the sale price of the video game
Answers
Answer:
They are asking for the SALE price, not the actual price.
28×0.2= $5.60
Rebecca savings account pays a simple annual interest rate of 2.5%. suppose she deposits $4280 in the account and makes up no additional deposits or withdrawals for 4 years. What will the total value of the account be after 4 years?
Answers
I Hope This Helps
Answer: 4708
Step-by-step explanation:
That's what we know:
Plan and substitute:
Work out the item or remainder:
Work out the aggregate or contrast:
Work out the item or remainder:
Reply:
These are just the step sorry couldn't find any way to help so I recommend to use gauth math but the thing is gauth math some of the answer is incorrect so tried to use it if it help
ASAP HURRY.
A tabletop is shaped like a square with half-circles on two ends.
One side of the square is 0.8 m. To the nearest meter, what is
the perimeter of the tabletop?
Answers
won't it be 3.2 because A square has four sides so you multiply 0.8 by 4
Hard work problem please help me find the sum
Answers
-3 + -2 + -4 = -9
the total is -9
please solve this problem using the foil method
[tex] {x}^{2} - 9[/tex]
Answers
Answer:
This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).
Step-by-step explanation:
x^2-9=0
a= 1
b=0
c=-9
Factors of c (-9) that add up to make b (0): -3, 3
(x-3)(x+3)
we know: [tex]a^2-b^2=(a+b)(a-b)[/tex]
So: [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]
Ok done. Thank to me :>
You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem.
Answers
Answer:
P = $250
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = Prt
12 = P(.032)(1.5)
12 = .048P
12/.048 = P
P = 250
Matt is 54 3/ inches tall. Nancy is 1 3/8 inches taller than Matt and Jane is 1 1/5
inches taller than Nancy. How tall is Jane?
Answers
Jane is 8 13/40 inches tall
Given the following:
Height of Matt = 5 3/4 in = 23/4 inIf Nancy is 1 3/8 inches taller than Matt, hence;
Height of Nancy = 23/4 + 11/8 = 46+11/8 Height of Nancy = 57/8 inif Jane is 1 1/5 inches taller than Nancy, then the height of Jane will be;
Height of Jane = 57/8 + 6/5Height of Jane = 285+48/40Height of Jane = 333/40 = 8 13/40 inchesHence Jane is 8 13/40 inches tall
Learn more on sum here: https://brainly.com/question/2929160
Need answer ASAP thanks
Answers
Answer:
0.05
Step-by-step explanation:
hope this helps! :D
you have a miraculous everybody!! <3
Answer: 0.50
Step-by-step explanation:
The ^-2 means to move the decimal 2 times to the left.
5 * 0.10 = 0.50