Function: y=x^2−4x−12
Factored Form: y=(x+_) (x-_)
x -Intercepts: (_,_) and (_,_) Type answers smallest to largest left to right.
Axis of Symmetry: x=
Vertex:
Domain:
Range: y≥
Answer:
Below in bold.
Step-by-step explanation:
y=x^2−4x−12
Factored form: y = (x - 6)(x + 2)
x-intercepts: (-2, 0) and (6, 0).
Axis of symmetry is found by converting to vertex form:
y = x^2−4x−12
y = (x - 2)^2 - 4 - 12
y = (x - 2)^2 - 16.
So axis of symmetry is x = 2.
Vertex is at (2, -16)
Domain is all Real Numbers.
Range is y ≥ -16.
The difference of 2 times a number and 3/4 is 1/2
If you need 10 cups of flour for every 6 cups of sugar, how much sugar do you need if you have only one cup of flour?
Answer:
2/3
Step-by-step explanation:
1/(3/4)=4/3(4/3)2.5
10 cups/=3.333
Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning
Answer:
Step-by-step explanation:
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True or False: Collection on account and sale of services for cash are considered cash inflows, while payment on account and payment of salaries are considered cash outflows from operating activities.
Answer:
true
Step-by-step explanation:
make this is helpful for you
Find the value of x.
X=
137°
(4x-17)
Answer:
x = 15°
Step-by-step explanation:
These angles form a linear
4x - 17 + 137° = 180°
4x - 17 = 43°
4x = 60°
x = 15°
An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.
which one is a function
Answer:
Table B
Step-by-step explanation:
In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.
3 is what percent of 50
Answer:
6%
Step-by-step explanation:
3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%
Solve 2x^2 - x ≥ -5. Show your work.
Answer:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]
Step-by-step explanation:
Rewrite into standard form:
[tex]2x^{2} -x+5 \geq 0[/tex]
Complete the square:
[tex]2(x-\frac{1}{4} )^{2} + \frac{39}{8} \geq 0[/tex]
Subtract [tex]\frac{39}{8}[/tex] from both sides:
[tex]2(x-\frac{1}{4})^{2} \geq \frac{-39}{8}[/tex]
Divide both sides by 2:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{\frac{8}{2}}[/tex]
Simplify:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]
Solve the equation for x.
2(2) + x = 4
[tex]2(2) +x =4\\\\\implies 4 +x =4\\\\\implies 4 +x -4 = 4-4\\\\\implies x = 0[/tex]
Answer:
x = 0
Solve solution:
Question:
2(2) + x = 4
Multiply:
2 x 2 + x 4
Cancel equal terms:
4 + x = 4
Answer: x = 0
64PT AND BRAINLIEST! Which of the following would produce a graph with no solution?
| x | = − 5
| x | < 5
| x | < 5
| x | = 0
Answer:
| x | = − 5
Step-by-step explanation:
Let's solve your equation step-by-step.
| x | = − 5
Solve Absolute Value.
| x | = − 5
No solutions. (Absolute value cannot be less than 0.)
Answer:No solutions.
I hope this helps :)
Answer:
| x | = -5
Step-by-step explanation:
Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!
If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =
Answer: 3/25
Step-by-step explanation:
In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?
==================================================
Explanation:
We'll need these trig ratios
sine = opposite/hypotenusecosine = adjacent/hypotenuseRefer to the diagram below.
sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.
cos(B) = s = s/1 means the adjacent side to angle B is of length s
sides r and s are the two legs of the right triangle.
----------
From that diagram, we can then say:
sin(angle) = opposite/hypotenuse
sin(C) = s/1
sin(C) = s
This is identical to cos(B). We can say cos(B) = sin(C)
Also, we can say:
cos(angle) = adjacent/hypotenuse
cos(C) = r/1
cos(C) = r
So cos(C) = sin(B)
This works because B+C = 90
----------
So,
sin(C) - cos(C) = cos(B) - sin(B) = s - r
determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)
Answer:
C. (2, 7)
Step-by-step explanation:
It is fairly easy to try the offered points in the equations to see which works.
A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3
__
B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6
__
C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3
(2, 7) is a solution to the system of equations.
_____
If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.
2x -y = -3
3x -y = -1
Subtracting the first from the second gives ...
(3x -y) -(2x -y) = (-1) -(-3)
x = 2 . . . . . matches choice C
what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )
Answer:
0
Step-by-step explanation:
........
Answer:
g=-10
Step-by-step explanation:
-g+2(3+g) = -4
-g+6+2g=-4
g=-4-6
g=-10
is h(x) = 6 a linear function and why
Answer:
yes, absolutely. specifically it's a horizontal line at 6.
Please help
Simplify :3x^5+4x^2-8x^5+3x^2-8x
Answer:
-5x^5 + 7x^2 - 8x
Step-by-step explanation:
Add like terms:
3x^5 - 8x^5 = -5x^5
4x^2 + 3x^2 = 7x^2
A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %
Answer:
14% of the seats are empty
Step-by-step explanation:
7/50 = ?/100
50×2=100
so 7×2=?
?=14
14/100=14%
The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%
How to work with percentages?
We are given;
Total number of seats in hall = 50
Number of occupied seats = 43
Number of empty seats = 7
Now, we want to find the percent of seats were empty.
This is gotten by;
% of empty seats = (number of empty seats/total number of seast) * 100%
% of empty seats = (7/50) * 100%
% of empty seats = 14%
Read morer about Percentages at; https://brainly.com/question/843074
Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?
HURRY!!!! I'LL GIVE YOU BRAINEIST!!
Answer:
B save your time its the same answer
Step-by-step explanation:
Good Luck!
1.25 as a fraction is what
Answer:
5/4
Step-by-step explanation:
Hi please help !!! With steps as well please!
Answer:
a) m = 60°, n = 30°
b) m = 20°, n = 45°
Step-by-step explanation:
a)The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.
Angle n is the complement of angle m, so is 90°-60° = 30°
m = 60°, n = 30°
__
b)The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)
The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.
m = 65° -45° = 20°
m = 20°, n = 45°
_____
Additional comment
The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...
a + 2b = 180°
2b = 180° -a
b = (180° -a)/2 . . . . . . the relation used above
Mr. Allen says that the equation y=2x+1 has a solution of (4, 9). Is Mr. Allen right or wrong?
Answer:
right
Step-by-step explanation:
y=2x+1
9=2(4)+1
9=8+1
9=9
Write the fraction as a decimal
Round to the nearest hundredth
8
11
[?] is i think 0.73 or 0.73/1. or 73/100
Answer: It is 0.73 my friend. Very good work.
Step-by-step explanation:
Use the fraction model to multiply: two multiplied by four sixths. Leave your answer as an improper fraction.
two fraction models, each model is partitioned into six equal parts, with four parts shaded in each model
Question 1 options:
six eighths
six twelfths
eight sixths
eight twelfths
Answer:
2 b is you answer
Step-by-step explanation:
Question in picture!!
Step-by-step explanation:
A. 4+(x-y)
B. 6+xy
C.( x.x.).y
hope it helps.
stay safe healthy and happy.
Answer:
A. 4+(X•Y)
B. 6×xy
C. (X•X)y
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer should be A......
PLEASE HELP !! Find the value of x in the triangle shown below. x=?
Answer:
x+44+29=180
x+73=180
x=180-73
x=107
Answer: x+44+29=180
x+73=180
x=180-73
x=107
Step-by-step explanation:
Which translation rule describes the translation that is 2 units to the left and 8 units down?
(x, y) + (x + 2, y - 8)
(x,y) → (x - 2, y - 8)
(x,y) → (x - 2, y + 8)
(x,y) → (x + 2, y + 8)
Answer: (x,y) → (x - 2, y - 8)
Step-by-step explanation:
Two units to the left would mean decreasing value on the x-axis, making it -2.
Eight units down would, again, mean decreasing value on the y-axis, making it -8.
Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.
I hope this helps :)
I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol
what is the answer for this question 7(x+4)-7=48-2x
Answer:
x = 3
Step-by-step explanation:
7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side
7x + 28 - 7 = 48 - 2x
7x + 21 = 48 - 2x ( add 2x to both sides )
9x + 21 = 48 ( subtract 21 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer: the answer is x=3
Step-by-step explanation:
step 1: distribute the 7 with the parenthesis we get 7x+28-7=48-2x
step 2: subtract 28-7 which gives us 21 now the equation is 7x+21=48-2x
step 3: for the other side which is the 48-2x put the x first so the equation will look something 7x+21=-2x+48
step 4: subtract 21 on both sides 48-21=27 and add 2x on both sides 7x+2x=9x
step 5: 9x=27 now divide both sides by 9 so 27/9= 3