HELP ME PLZ ASAPPPPPP
Answer:
[tex](x,y) =(-4,-3)[/tex] --- Vertex
[tex]x = -4[/tex] --- Axis of symmetry
Step-by-step explanation:
Given
[tex]y = -6(x + 4)^2 - 3[/tex]
Solving (a): The vertex
For an equation written in
[tex]y = a(x - h)^2 + k[/tex]
The vertex is:
[tex](x,y) = (h,k)[/tex]
By comparison:
[tex]y = a(x - h)^2 + k[/tex] and [tex]y = -6(x + 4)^2 - 3[/tex]
[tex]-h =4[/tex] [tex]k = -3[/tex]
[tex]h =-4[/tex] [tex]k = -3[/tex]
So, the vertex is:
[tex](x,y) =(-4,-3)[/tex]
Solving (b): The axis of symmetry
For an equation written in
[tex]y = a(x - h)^2 + k[/tex]
The axis of symmetry is:
x = h
In (a):
[tex]h =-4[/tex]
So:
[tex]x = -4[/tex]
Express q/4p−q/p as a single fraction
The fraction q/4p−q/p as a single fraction is −3q/4p.
We are given that;
The fraction= q/4p−q/p
Now,
A fraction represents a part of a number or any number of equal parts.
To express q/4p−q/p as a single fraction, we need to find a common denominator for the two fractions and subtract them. The least common multiple of 4p and p is 4p, so we can multiply the second fraction by 4/4 to get an equivalent fraction with the same denominator:
q/4p−q/p = q/4p−(q/p)(4/4) = q/4p−4q/4p
Now we can subtract the fractions by subtracting the numerators and keeping the denominator:
q/4p−4q/4p = (q−4q)/4p = −3q/4p
Therefore, by the fraction answer will be −3q/4p.
Learn more about fraction;
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find the ratio of 20 : 50
Answer:
20:50
20/50=40%
Greg feeds his dog 2/3 pounds of dog food for each meal. Greg has just bought 18 pounds of dog food. For how many years will the food last? Write your answer in simplest form
Answer:
24
Step-by-step explanation:
Find the volume of the figure below. Round to the nearest tenth it needed. Please help
Answer:
1,060.8 mm³
Step-by-step explanation:
Volume of the triangular prism = ½*bhl
Where,
b = 12 mm
h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)
l = 17 mm
Plug in the values
Volume = ½*12*10.4*17
Volume = 1,060.8 mm³
20 minus 8 help
.... 6×7. 2 differt questions answer separately
20-8=12
6x7=42
i shall say this is correct
Answer:
43.2
Step-by-step explanation:
Please help it’s for homework
Answer:
y=10x+4
The slope is 10 and the y-intercept is 4.
Let me know if this helps!
Solve for c.
a(c- b) =d
Answer:
c=[tex]\frac{d}{a}[/tex]+b
Step-by-step explanation:
a(c-b)=d
c-b=[tex]\frac{d}{a}[/tex]
c=[tex]\frac{d}{a}[/tex]+b
Hope this helps! :)
Steven drew Rectangle EFGH. Then, he drew a translation of it, Rectangle E'F'G'H'.
Line segment FG is 3 inches. The distance from E to E' is 5 inches.
a) How long is F'G' ?
Answer:
can you show a picture
bsbsnsnd
Factor Completely:
16x8−81y8
Answer:
Step-by-step explanation:
16x⁸ - 81y⁸ is the difference of squares.
16x⁸ - 81y⁸ = (4x⁴)² - (9y⁴)² = (4x⁴ + 9y⁴)(4x⁴ - 9y⁴)
Note that 4x⁴ - 9y⁴ is also the difference of squares.
4x⁴ - 9y⁴ = (2x²) - (3y²)² = (2x² + 3y²)(2x² - 3y²)
16x⁸ - 81y⁸ = (4x⁴ + 9y⁴)(2x² + 3y²)(2x² - 3y²)
The charge for a bicycle repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total cost (c) of the repair?
Answer:
15.78
Step-by-step explanation:
4 goes into 18 (4 quarters in 1 hour), 4.5 then 4.50+ 9.28+2= $15.78
Help I cannot figure this question out.
Answer:
B. x = -1 ± i
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0FactoringQuadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
x² + 2x = -2
Step 2: Identify Variables
Rewrite Quadratic in Standard Form [Addition Property of Equality]: x² + 2x + 2 = 0Break up Quadratic: a = 1, b = 2, c = 2Step 3: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-2 \pm \sqrt{2^2-4(1)(2)}}{2(1)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-2 \pm \sqrt{4-4(1)(2)}}{2(1)}[/tex]Multiply: [tex]\displaystyle x=\frac{-2 \pm \sqrt{4-8}}{2}[/tex][√Radical] Subtract: [tex]\displaystyle x=\frac{-2 \pm \sqrt{-4}}{2}[/tex][√Radical] Factor: [tex]\displaystyle x=\frac{-2 \pm \sqrt{-1}\sqrt{4}}{2}[/tex][√Radicals] Simplify: [tex]\displaystyle x=\frac{-2 \pm 2i}{2}[/tex]Factor: [tex]\displaystyle x=\frac{2(-1 \pm i)}{2}[/tex]Divide: [tex]\displaystyle x = -1 \pm i[/tex]A circular walk is 1.5 meters wide, if the outer circumference is 72 meters, what is the inside diameter of the walk?
9514 1404 393
Answer:
about 19.92 meters
Step-by-step explanation:
The circumference is ...
C = πd
72 m = πd . . . . . for outer diameter d
d = (72 m)/π
The inner diameter is 3 meters shorter, so is ...
inner diameter = (72/π) m - 3 m ≈ 19.92 m
Find the interest on $4,000 at 3% for 4 months.
Answer:
$80 interest will be owed for 4 months
Step-by-step explanation:
P is the principal amount, $4000.00.
r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.
t is the time involved, 3....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.25....year time periods.
To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:
If 100 oil makes 45 petroleum gas, how much oil will make 20 petroleum gas?
Answer:
44 oil make 20 petroleum gas
Step-by-step explanation:
100 ÷ 45 = 2.2
2.2 oil makes one petroleum gas
20 x 2.2 = 44
Please help me!!
A. Identify the quadrant point C is in. B. Identify the point that is on an axis. Which axis is it?
Answer:
Quadrant 2, x-axis
Step-by-step explanation:
Point C is on top left side of the x-y graph, which is quadrant 2.
An axis refers to line, so the x axis the is horizonal line, as it says on the right end of it. The y axis is the vertical line, noted at the top of the line.
The only line that's on a line is point D and it's on the x-axis.
please help me asap!!!!
Answer:
there's no picture info here...
Step-by-step explanation:
The sum of two numbers is 80.6. One of
the numbers is 9 times the other. What
are the two numbers?
A large western state consists of 4390 million acres of land. Approximately 16% of this land is federally owned. Find the number of acres that are not federally owned.
Answer:
1408.5 acres
Step-by-step explanation:
What’s b I have to type it in
Answer: solve the problems and then divide it
Step-by-step explanation:
What is the recursive formula for this sequence . 10,14,18,22,26,...
25% of 275 is 68.85
Answer:
Step-by-step explanation:
no its not
its 68.75
HELPPP!!!!!! WILL BE MARKED BRAINLIEST AND GET 60 POINTSS!!!!!
FIND THE INTERVAL OF THE CONVERGENCE
Answer:
Interval of convergence is 0 </= x < 1
Step-by-step explanation:
What is the minimum value points of z=30x+40y subject of x+y<=140 x>=45 y>=32 20x+10y>=1500
9514 1404 393
Answer:
minimum z: 3050
Step-by-step explanation:
The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).
The minimum value of z is ...
30·59 +40·32 = 3050
Maureen's drink coaster has a diameter of 12 centimeters. What is the coaster's area?
Answer: 113.1 cm
Step-by-step explanation:
Use distributive property to remove the parenthesis for:
(1-y+x)(-6)
Answer:
Step-by-step explanation:
Multiply -6 to the first bracket so it would be
-6+6y-6x This is the answer
What is the y-intercept of the graph? 15 points
Answer:
5
Step-by-step explanation:
bro its literally on the graph lol just check where the line touches the y axis
Answer:
5
Step-by-step explanation:
.........................
Camden is using his cell phone to watch videos. He has 4/5 of the battery life remaining. Each video takes 1/9 of the battery life.
How many full videos can Camden complete before his phone loses its battery life?
Answer: 31 videos
Step-by-step explanation:
please help me ,38 points for 2-7 this is 7th grade 1 step equation word problems
2) Alyssa is baking a cake. The recipe calls for 9 cups of flour. She already put in 4 cups. How many more cups does she need to add ?
3) After eating at the restaurant, Sara, Tom, and Keith decided to divide the bill evenly. If each person paid 45 dollars, what was the total of the bill ?
4) Tim had 15 peaches left at his roadside fruit stand. He went to the orchard and picked more peaches to stock up the stand. There are now 68 peaches at the stand, how many did he pick?
5) Keith received 52 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 47 dollars left over, how much did he spent on the baseball gear?
6) Last week Tim had 38 dollars. He washed cars over the weekend and now has 91 dollars. How much money did he make washing cars ?
7) There were 6 roses in the vase. Jessica cut some more roses from her flower garden. There are now 16 roses in the vase. How many roses did she cut?
Answer:
the answer would be the equilibrium of 28.59295
HELP MEEE 5(−4) = 15-4x
Answer:
8.75
Step-by-step explanation: