Answer: B
Step-by-step explanation:
Find the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1
a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)
The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
y = –x2 + 4x + 5 y = x2 + 2x + 1Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: https://brainly.com/question/16863577
Aaron noticed that he caught 8 pidgeys for every Squirtle when he played Pokémon Go. If Aaron caught 104 Pidgeys how many Squirtles did he catch?
Answer:
He caught 13 squirtles
Step-by-step explanation:
104/8 = 13 squirtles
Squirtles divided by pidgeys
please help due soon
Answer:
Your answer is A. x=6
Step-by-step explanation:
plug in 6 for x and youll get your answer
Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.
a. How many area codes can be created if digits are allowed to be repeated?
b. How many area codes can be created if digits are not allowed to be repeated?
Answer:A
Step-by-step explanation:because the numbers can be allowed to be repeated
The volume of a sphere is decreasing at a constant rate of 23 cubic centimeters per
second. At the instant when the volume of the sphere is 7 cubic centimeters, what is
the rate of change of the radius? The volume of a sphere can be found with the
equation V 28. Round your answer to three decimal places.
The rate of change of the radius is 1.32cm²/s
The formula for calculating the volume of a sphere is expressed as:
[tex]v = \frac{4}{3} \pi r^3[/tex]The rate of change of the volume is given as:
[tex]\frac{dv}{dt} = \frac{dv}{dr} \cdot \frac{dr}{dt} \\\frac{dv}{dt} = =4 \pi r^2 \cdot \frac{dr}{dt} \\[/tex]Given the following paramters;
dv/dt = 23cm³/s
Volume = 7cm³
Get the radius of the sphere:
7 = 4/3 πr³\
21 = 4πr³
r³ = 21/4π
r = 1.18 cm
Get the rate of change of the radius to have:
[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]
Hence the rate of change of the radius is 1.32cm²/s
Learn more on volume of a sphere here: https://brainly.com/question/22807400
Answer this question!
Answer:
I would tell you
Step-by-step explanation:
you need to put 2 y and 2 x and that you need to divide
Will mark Brainliest for the correct answer:
Classify EACH expression as a polynomial or not a polynomial.
(just screenshotted since its a lot to type)
Step-by-step explanation:
#1 is polynomial of degree 4#2 is polynomial of degree 3#3 NOT a polynomial, variable as fraction#4 NOT a polynomial, radical variable#5 is polynomial of degree 5#6 NOT a polynomial, negative exponentLet's see
Yes, Polynomial having degree 4Yes Polynomial having degree 3No, Fraction onlyNo,radical expressionYes,Of degree 5NoThe Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate?
Jeremy brought a sandwich and a drink that cost him $7. His drink cost $1.75. Solve the equation 7=s + 1.75 to find s, the cost of Jeremy’s sandwich.
Answer:
the answer is 5.25
Step-by-step explanation:
subtract the amount from the drink and should give you the cost of the sandwich
HELP!!!!! I DONT KNOW THIS
Answer:
neither
Step-by-step explanation:
exponential grows larger with each step and liner is constant
Answer:
Exponential because you don't start at 0
Step-by-step explanation:
What is the range of this graph?
The range is the y value of where the dots are located.
Answer: (3,4,5,6)
PLEASE HELP‼️‼️ILL MARK BRAINLYEST ‼️‼️I MEAN IT PLEASE ‼️‼️‼️‼️‼️‼️‼️15 POINTS PLEASE ‼️‼️
Given the two similar triangles below, which proportion is not true?
Answer:
1. Yes; 2. Yes ; 3. No; 4. Yes
Step-by-step explanation:
The proportion will have to be read the same way. For example top Δ bottom to the lower Δ bottom (locate in the same place)
14/21 = 6 /9 Yes because the top Δ bottom to lower Δ bottom = top side to
lower same side
13.5/21 = 9/ 14 Yes because the same two sides to the same two sides in
the lower Δ
9/13.5 = 6 21 No because top Δ side to lower Δ same location but the
second one top Δ side to the lower bottom
14 /6 = 21/6 Yes because top Δ bottom to top side = lower Δ bottom to
lower side (in the same place)
Adding this so you can give the other dude the brailyist
What is the slope of the line containing (-2, 5) and (4, -4)?
Answer:
B. - 3 / 2
Step-by-step explanation:
Let,
( x1, y1 ) = ( - 2, 5 )
So,
x1 = - 2
y1 = 5
( x2, y2 ) = ( 4, - 4 )
So,
x2 = 4
y2 = - 4
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( - 4 - 5 ) / ( 4 - ( - 2 ) )
= - 9 / ( 4 + 2 )
= - 9 / 6
Slope = - 3 / 2
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (4, - 4 )
m = [tex]\frac{-4-5}{4-(-2)}[/tex] = [tex]\frac{-9}{4+2}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex] → B
2x - 8 algebraic expression
Answer:
Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
help!!!!!!!!! I need help
Answer:
x = 60 cm
Step-by-step explanation:
If we assume the figures are similar, then corresponding sides are proportional.
x/36 = 35/21
x = 36(35/21) = 60 . . . . cm
_____
You can consider the ratios of side lengths. Shortest to longest, they are ...
7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60
The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.
Pls answer this problem
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a radius of 8.6 cm. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
2664.3
Step-by-step explanation:
Hope this helps!
What is the domain and range ?
Answer: domain are the ones that go side to side or the x range is the ones that go up and down or the y
Step-by-step explanation:
Find the area of the circle. Use 3.14 for pi *
87.9
614.5
153.8
43.9
Answer:
614.5
Step-by-step explanation:
Hope this helps!
Answer:
87.9
Step-by-step explanation:
The formula for the area of a circle is pi times r to the power of two, written as πr^2. so we input our values.
πr^2
(3.14)(14^2)
(3.14)(196) ≈ 87.9
9. On a certain day the temperature in New
York City was 4°C and the temperature
in Austin was 10°C. How many degrees
lower was the temperature in New York
City?
Answer:
it is 6°. because 10 degree - 4 degree = 6 degree
URGENT! WILL MARK BRAINLIEST!!
Write an inequality that represents the graph.
(it’s #4)
What is the image of O(1,4) after two reflections, first across the line y = 4, and then across
the line x = -2?
(-5,4)
(-2, 4)
(-1,8)
(1,4)
Answer:
A. (-5,4)
Step-by-step explanation:
A reflect on y=4 does not affect point (1,4) since it is on y=4
So a reflect on itself is the same
A reflection of x= -2 is trickier
Since the distance between x=-2 and (1,4) is 3 (I am only counting x-axis the distance between -2 and 1 is 3)
So we have to start at (-2,4) (Since the y-axis, "4" didn't change) and move it 3 points to the left
Which is (-5,4)
Thus A
Hope this helps!
Tickets for the Valentine Dance cost $3 per person or $5 per couple. The school ticket sales totaled $824 and there were 10 less couple tickets sold than 4 times the number of single tickets.
A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
Answer:
the baseball traveled 66 feet per second if that helps
Step-by-step explanation:
Someone plz help me! I’m begging!! :(
Answer:
Option D
Step-by-step explanation:
Expanding option A equations:
8 + (3 * y) = 8 + 3y
(8 + 3) * y = 11y
∴ not equivalent.
Expanding option B equations:
(7 - 3) * y = 4y
7 - (3 * y) = 7 - 3y
∴ not equivalent.
Expanding option C equations:
(6 ÷ y) + 13 = [tex]\frac{6}{y} + 13[/tex]
13 + (y ÷ 6) = [tex]13 + \frac{y}{6}[/tex]
∴ not equivalent.
Expanding option D equations:
7 + (y * 5) = 7 + 5y
7 + (5 * y) = 7 + 5y
∴ equivalent.
Hope this helps!
Write each number as the product of two or three
prime numbers.
a) 49
b) 42
c) 63
d) 18
Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
52 × (4 + t) = 70 × t52 × 4 = 70 × t - 52 × t = 18 × t
[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]
The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]
The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] metersLearn more about simultaneous equations here:
https://brainly.com/question/12413726
Help help help math math
Answer:
Step-by-step explanation:
Answer:
volume of sphere is 4000cubic ft..... when
[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]
evaluate each expression if r=12 s= -4 t= -6
rs divided by 16
Answer:
-3
Step-by-step explanation:
r = 12
s = -4
t = -6
Equation
rs ÷ 16
12(-4) ÷ 16
-48 ÷ 16
-3
The value of the expression rs ÷ 16 at r = 12, s = -4, and t = -6 will be negative 3.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ rs ÷ 16
The value of the expression at r = 12, s = -4, and t = -6 will be given as,
⇒ [12 × (-4)] ÷ 16
Simplify the expression, then we have
⇒ [12 × (-4)] ÷ 16
⇒ - 48 / 16
⇒ - 3
The worth of the articulation rs ÷ 16 at r = 12, s = - 4, and t = - 6 will be negative 3.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
Daniela listened to a popular radio station for 1 hour. Then she made a circle graph to summarize what she had heard.
Complete the table to show the angle measure for each section and the number of minutes that section represents.
Answer:
1.50
Step-by-step explanation:
divide 2 add 5 divide 2 again