the answer for:
Consider the quadratic equation x^2 - 6x - 16 = 0.
A. Solve the equation, and discuss how the type of roots affects the appearance of the graph of the function y = x^2 - 6x - 16.
B. What is the vertex of the graph of x^2 - 6x - 16 = 0?
C. What is the equation of the axis of symmetry?
D. Use this information to draw a rough sketch of the graph of the function.
Answer:
A. Solution=(x-8)(x+2),Zeros are 8,-2
The integer coefficient of x² is >1 and so the graph which is a parabola,curves downward and opens upward
B. The vertex or turning point is the minimum point =-b/2a=-(-6)/2(1)=3
f(3)=(3)²-6(3)-16=-25
the vertex occurs at y=-25
C. Equation of the axis of symmetry =-b/2a
which is x=3
Help pls I’m getting timed
Which algebraic expression represents "a number divided by nine"?
9 + a
9а
9/a a/9
Answer:
a/9
Step-by-step explanation:
The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*
Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)
What is the inverse operation of 2/3x=6
2 3 x - 6
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3x2+9 f - 1 ( x ) = 3 x 2 + 9 is the inverse of f(x)=23x−6 f ( x ) = 2 3 x - 6
pls brain
expanding the question x(x + 2)
Answer:
x^2 + 2x ?
Step-by-step explanation:
Sorry I dont understand math good hope this helps..
Please answer A.S.A.P.!!!!
Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:
50 50; Malcolm needs to consume less than 20 grams of carbohydrates or more than 50 grams of carbohydrates.
B) x > 20 and x 30 and x 60; Malcolm needs to consume less than 30 grams of carbohydrates or more than 60 grams of carbohydrates.
Answer:
x > 20 and x < 50; Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.
Step-by-step explanation:
PLEASE HELPP!! (10 points)
Answer:
D.0.58
Step-by-step explanation:
Answer:
The answer is the 4th option: 0.58
Step-by-step explanation:
Absolute value is how far away that number is from the numberline.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
what is the monomial if a square of a monomial is 1/4a^2n
Answer:
Answer:
Answer:
1/2a^n
Step-by-step explanation:
Square of the monomial is
To get the monomial we take square root
Lets take square root for each term
because square root of 4 is 2
2/2 is 1 so, its a^n
Required monomial is
1/2a^n
Step-by-step explanation:
Answer:
(1/2a^n)^2
Step-by-step explanation:
find the slope from the graph. (3,-1) (0,-3)
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
Step-by-step explanation:
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.
Their rates is calculated as:
For Lin
Lin read the first 54 pages from a 270-page book in the first 3 days.
54 pages = 3 days
270 pages = x
Cross Multiply
54x = 270 × 3
x = 270 × 3/54
x = 15 days
For Diego
Diego read the first 100 pages from a 320-page book in the first 4 days.
100 pages = 4 days
320 pages = x days
Cross Multiply
100x = 320 × 4
x = 320 × 4/100
x = 12.8 days
For Elena
Elena read the first 160 pages from a 480-page book in the first 5 days.
160 pages = 5 days
480 pages = x days
Cross Multiply
160x = 480 × 5
x = 480 × 5/160
x = 15 days
If they continue to read every day at these rates, who will finish first, second, and third?
Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent
1. from 60 to 48
2. from 180 to 108
3. from 64 to 24
4. from 6.5 to 4.8
5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.
Answer:
Hey, ill do like 2 and you can do the rest
percent decrease or change is
new-old over old
So like #1
1) 60 is old, 48 is new
so 48-60=-12
now over old which is 60
-12/60
-1/5
20 percent decrease
2) 180 is old, 108 is new
108-180=-72
-72/180
40 percent decrease
Step-by-step explanation:
What is the y-intercept of the graph?
Answer:
4
Step-by-step explanation:
nce a year, a store offers a free frozen yogurt to its customers. Each customer can cl he flavor of frozen yogurt and one topping. There are 8 possible ways to order the fro gurt. How many flavors and toppings could the customers choose from? 4 flavors and 3 toppings 2 flavors and 4 toppings 2 flavors and 2 toppings 4 flavors and 4 toppings
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.85 and 5 pounds of cherries. Tim buys a pineapple for $3.35 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more spent.
Answer:
3.5 + p
Step-by-step explanation:
Jackson:
Watermelon = $6.85
Cherries = 5p
Total spent = 6.85 + 5p
Tim:
Pineapple = $3.35
Cherries = 4p
Total = 3.35 + 4p
Where,
P = price per pound of Cherries
how much more spent?
Jackson's total spent - Tim's total spent
= 6.85 + 5p - (3.35 + 4p)
= 6.85 + 5p - 3.35 - 4p
= 3.5 + p
Write the equation of the line that passes through the points (7,4) and (-1, 3), first in point-slope form, and then in
slope-intercept form.
The slope of the line is
When the point (7,-4) is used, the point-slope form of the line is
The slope-intercept form of the line is
Answer:
y = 1/8x + 25/8
Step-by-step explanation:
solve for "x" : 2x + 3x + 4x =36
Answer:
4
Step-by-step explanation:
2x + 3x + 4x = 36
Evaluate like terms.
9x = 36
Find x.
x = 36 ÷ 9
x = 4
Answer:
b) 4
Step-by-step explanation:
2x+3x+4x=36
=5x+4x=36
=9x=36
x=36/9
x=4
Find p(4) p(x) = 3x - 9
Answer:
p(4)=3
Step-by-step explanation:
p(4)=3(4)-9=12-9=3
Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.
(Note: use whole numbers only, do not type the degree
symbol or the word)
Answer:
x = 13
y = 7
Step-by-step explanation:
✔️Recall that sum of the interior angles of a ∆ = 180°
Therefore:
(3x - 3) + (4x + 20) + (7x - 19) = 180° (sum of ∆)
Solve for x
3x - 3 + 4x + 20 + 7x - 19 = 180
14x - 2 = 180
Add 2 to both sides
14x = 182
Divide both sides by 14
✅x = 13
✔️Recall also that an isosceles has two equal sides, therefore:
8y - 7 = 5x - 16
Plug in the value of x
8y - 7 = 5(13) - 16
8y - 7 = 65 - 16
8y - 7 = 49
Add 7 to both sides
8y = 56
Divide both sides by 8
✍️y = 7
please help me like i really don't understand this and i really need help
Answer:
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Step-by-step explanation:
Given the vertices of ΔABC
A(-2, -1)B(1, 2)C(2, -4)Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).
We know that when the scale factor > 1, then the image is enlarged.
The formula to determine the dilation with a scale factor of 2.5.
P(x, y) → P'(2.5x, 2.5y)
Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.
In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.
Thus,
P(x, y) → P'(2.5x, 2.5y)
A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)
B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)
C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Find the distance between 5 + 4i and 9 + 3i.
Answer:
Distance = √17
Step-by-step explanation:
We are looking for the distance between 5 + 4i and 9 + 3i.
This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)
Distance between the 2 points will be;
D = √[(5 - 9)² + (4 - 3)²]
D = √(16 + 1)
D = √17
Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.
Answer:
a. 7
b 8
c 9
d 10
e 10
f 44
Step-by-step explanation:
Write an equation of the line passing through the points (4,15) and (-1, 15)
Solve for x: 3 - (2x - 5) <-4(x + 2)
Answer:
x < -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3 - (2x - 5) < -4(x + 2)
Step 2: Solve for x
Distribute: 3 - 2x + 5 < -4x - 8Combine like terms: -2x + 8 < -4x - 8Add 4x on both sides: 2x + 8 < -8Isolate x term: 2x < -16Isolate x: x < -8Here we see that any value x smaller than -8 would work as a solution in the inequality.
Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 and has earned $26. How many apples does she need to sell to reach her goal?
Answer:
7 apples
Step-by-step explanation:
40 - 26 = 14
14 / 2 = 7
one bucket of gravel has a mass of 7.05 kg. what is the mass of 20 buckets of gravel in kilograms?
The weight of 20 buckets is 141 Kg.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
weight of 1 bucket of gravel = 7.05
weight of 20 buckets = 7.05 x 20
= 141 Kg
Hence, the weight of 20 buckets is 141 Kg.
Learn more about unitary method here:
https://brainly.com/question/22056199
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Describe the transformation.
* Dilation with a scale factor of 1⁄2
* Dilation with a scale factor of 2
* Dilation with a scale factor of 3
* Dilation with a scale factor of 4
* none of the above
Answer:
Dilation with a scale factor of 2
Answer:
* Dilation with a scale factor of 2
Step-by-step explanation:
B is my answer
Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?
Answer:
70
Step-by-step explanation:
It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70
Hope this helped!
Will mark brainliest who ever answers first !!!
Please help
I believe the answer is x=-2
Mrs. Malone has $75 to buy volleyball for lincoln Middle School. How many can she buy at $9 each?
Answer:
8porque9x8da72
Step-by-step explanation:
a
Answer:
Step-by-step explanation:
To find the number of volleyballs she can buy all you have to do is divide 75 by 9 which gives you 8.3333333 So she can buy approximately 8 volleyballs with 3 dollars to spare. You could also just multiply 9 by 8 to check your answer wich gives you 72 dollars
Someone please Help??