Answer:
A, D
Step-by-step explanation:
Given function: [tex]f(x)=x^2+4x-3[/tex]
Axis of symmetry
[tex]\textsf{Axis of Symmetry formula : }x=-\dfrac{b}{2a}[/tex]
for a quadratic equation in standard form [tex]y=ax^2+bx+c[/tex]
[tex]\implies \textsf{Axis of symmetry}: x=-\dfrac{4}{2}=-2[/tex]
Maximum/Minimum point (vertex)
The max/min point is the turning point of the parabola.
The x-value of the turning point is the axis of symmetry.
[tex]\implies \textsf{Turning point}:f(-2)=(-2)^2+4(-2)-3=-7[/tex]
Turning point (vertex) = (-2, -7)
As the leading coefficient is positive, the parabola opens upwards. Therefore, the turning point (-2, -7) will be a minimum.
Domain & Range
Domain: input values → All real numbers
Range: output values → [tex]x\geq -7[/tex] [as (-2, -7) is the minimum point]
End behavior
As the leading degree is positive and the leading coefficient is positive:
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow - \infty[/tex]
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow + \infty[/tex]
Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?
the customer spent $13 if it's not 13 it's the closest answer too 13
Answer:
$0.85, or 85 cents.
Step-by-step explanation:
To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.
Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.
A fundraising company sells 219 tickets to an event. Each ticket costs $27. How much money
does the company make on ticket sales in all?
Answer:
=$5,913
Step-by-step explanation:
219 times 27
= 5913
please answer this inequality question
Thrice a number subtracted from 10?
Answer:
10-3x
Step-by-step explanation:
let the number=x
thrice the number becomes 3x
How do you find the arc length of the partial circle?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times \dfrac{3 \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 6\pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 6\times 3.14 = 18.84 \: \: units\dfrac{ }{} \: \: [/tex]
So
Arc length
L=r[tex]\theta[/tex]L=4(3π/2)L=2(3π)L=6πL=18.8unitsCan someone help me with this?
Answer:
f (g(x)) = 1/x - 2
Step-by-step explanation:
Given :
f(x) = 1/xg(x) = x - 2To Find :
f (g(x))Solving :
f(x - 2) = 1/x - 2f (g(x)) = 1/x - 2Graph
the number in this sequence increase by 40 each time. 30 70 110 115... the sequence is continued with the same rule. Which number in the sequence will be the closest to 300
Answer:
310
Step-by-step explanation:
150,190,230,270,310
hope this helps!
which of the following groups of angles can be trisected using only a compass and straightedge
Answer:
C. ALL ANGLES GREATER THAN 180
dr. orchid has 9 paintings she wants to hang side by side on her wall. (a) in how many ways can she arrange all 9 paintings? show your work. (b) if she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? show your work.
She can arrange the 9 paintings in 362,880 different ways, and she can select 126 different combinations of 4.
In how many ways can she display the 9 paintings?For the first position, she has 9 options.For the second position, she has 8 options (one is already taken).
And so on for the rest of the positions.
The total number of different combinations is equal to the product between the numbers of options:
C = 9*8*7*6*5*4*3*2*1 = 9! = 362,880
b) This will be given by the combinations of 4 out of 9, or:
C(9, 4), where:
[tex]C(9, 4) = \frac{9!}{(9 - 4)!*4!} = \frac{9*8*7*6}{4*3*2*1} = 126[/tex]
She can select 126 different combinations of 4 paintings.
If you want to learn about combinations:
https://brainly.com/question/11732255
#SPJ1
Please check if I’m right or not!
Answer:
1, 3, and 4 are CORRECT
2 is wrong.
Step-by-step explanation:
In #2
-9(x + 4) Multiply by using distributive property. The -9 must be multiplied to both the terms in the parenthesis.
so you should get:
-9x - 36
a sector of a circle has a central angle measure of 60°, and an area of 14 sq inches, what is the area of the entire circle
Answer:
area of entire circle = 84 in²
Explanation:
[tex]\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector[/tex]
===========
[tex]\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}[/tex]
[tex]\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }[/tex]
[tex]\sf \rightarrow r = 5.17\ in[/tex]
Area of circle:
[tex]\sf \pi r^2[/tex]
=====
[tex]\hookrightarrow \sf \pi (5.17)^2[/tex]
[tex]\hookrightarrow \sf 84\ in^2[/tex]
what is the area in the square units of the trapezoid below someone pls
help
Answer:
= 185 units²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between the bases and b₁, b₂ the bases
here h = 10 , b₁ = 22 , b₂ = 22 - 7 = 15 , then
A = [tex]\frac{1}{2}[/tex] × 10 × (22 + 15) = 5 × 37 = 185 units²
I need HELPPPPplsssssssssss
Answer:
I have attached a picture of the completed graph.
The equation is k = r + 7
Kyle will be 59 when Ryan is 52.
Explanation:
Kyle's age is always seven years higher than Ryan's age.
Therefore, k (Kyle's age) = r (Ryan's age) + 7 (Number of years different)
how to copy and paste
Answer:
control + C then Control + V
Step-by-step explanation:
Answer:
If you have a PC, press Windows, Print Screen.
Step-by-step explanation:
Hope this helps..
The midpoint of CD is M=(5,0). One endpoint is C=(2,5). Find the coordinates of the other endpoint, D
PLEASE HELP ME. I NEED IT TO BE SOLVED.
the correct answer is 21
Answer:
21 (this is given in the simplest form)
Four eggs are required to make two duzzen muffins. how many eggs are needed to make 5 dozen muffins
Answer:
20 eggs
Step-by-step explanation:
4 = 24 muffins
4*5 = 20
20 = 60 muffins
Good Luck!
the pizza order changed to a 14-inch pizza from a ten-inch pizza. Approximately how much did the area change after the change in diameter?
a. 4 square inches
b. 24 square inches
c. 25 square inches
d. 96 square inches
B.)
Step-by-step explanation:
area of a 10 inch pizza: A=pi * r^2 = 25 pi
area of a 14 inch pizza : A= 49 pi
the change : 49pi - 25pi = 24 pi or about 75.39822
a hot air balloon is currently 100 feet above the ground. After 5 minutes, the hit air balloon is 40 feet above the ground. write the equation for the relation
Here is the Answer:
Step-by-step explanation:
I wasn't sure if it was 180 so I decided to post it
Answer:
25
Step-by-step explanation:
These angles are supplementary, or add up to = 180 degrees:
(2x + 10) + (4x + 20) = 180
6x + 30 = 180
6x = 150
x = 25
Let's check our work:
2(25) + 10 = 60
4(25) + 20 = 120
60 + 120 = 180 degrees :)
Good luck!
Answer:
x = 25
Step-by-step explanation:
[tex](2x+10)+(4x+20)=180^{o}[/tex]
[tex]6x+30=180[/tex]
[tex]6x=180-30[/tex]
[tex]6x=150[/tex]
[tex]x=150/6[/tex]
[tex]x=25[/tex]
Hope this helps
Rachel’s dog had 13 puppies. She gave away 5 pups. How many puppies did Rachel have left.
Answer:
8 puppies
Step-by-step explanation:
13-5=8
Answer: she had 8 pups left
Explanation: If Rachel's dog had 13 pups all you need to do is subtract 5 from 13 which is 8.
Hope this helps-
probabiltity of 8 and 23
Answer:
huh
Step-by-step explanation:
how to simplify 8 + ( -6 ) + 4
Answer:
6
Step-by-step explanation:
[tex]8-6+4[/tex]
[tex]2+4\\6[/tex]
Write the equation of the line that passes through the points (-2, 3) and (-2,5).
A. Y=1/2x+1
B. X=-2
C. Y=-2
D. Y=5
Answer:
Answer is B. X=-2
Step-by-step explanation:
I just used the slope formula and slope-intercept y = mx + b to find the equation
what is this it hard
Answer:
supply and demand
Step-by-step explanation:
if a certain number is added to the denominator of the fraction 3/5 and 7 is added to the numerator, the result is a fraction that will reduce to 1/2. what number is added to the denominator? let x = the number added to the denominator
Answer:
X=15
Step-by-step explanation:
First add 7 to the 3(numerator)=10. Since anything equivalent to half is half of the denominator, the denominator needs to be 20. 20-5=15. So, X=15
Answer:
Step-by-step explanation: X=15
A purple marker costs 1 dollar and 82 cents. Paul pays for it with two $1 bills. He gets 5 coins back in change. What are the 5 coins?
Answer: Those coins are 5 pennies
Step-by-step explanation:
“Find 24% of $240.”
I keep trying and getting a different answer each time, please help
Answer:
$57.60
Step-by-step explanation:
The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.
(0.24)
Multiply that decimal by the number you want to find the percentage of
$240 * .24 = $57.60
Drag and drop the angle pairs to correctly match their
description
vertical angles
complementary
angles
supplementary
angles
adjacent angles
that are neither
complementary nor
supplementary
What are you dragging so I can help?
find the solution of this system of equation
-x-4y=-37 "-2x-5y=-53"
Answer:
(x, y) = (9, 7)
Step-by-step explanation:
There are numerous ways to find the solution to a system of equations. A quick and easy one is to use a graphing calculator. The attachment shows the solution to be ...
(x, y) = (9, 7)
__
You can also look for opportunities to do substitution or elimination. Here, the x-coefficients differ by a factor of 2, so it is convenient to subtract twice the first equation from the second. This eliminates the x-variable.
(-2x -5y) -2(-x -4y) = (-53) -2(-37)
3y = 21 . . . . . . simplify
y = 7 . . . . . . . . divide by 3
-x -4(7) = -37 . . . . . substitute into the first equation
-x = -9 . . . . . . . . . . . add 28
x = 9
The solution is (x, y) = (9, 7).
