Answer:
[tex]y = (x - 3^{2}) - 2[/tex]
Step-by-step explanation:
[tex]y = a (x - h)^{2} + k[/tex]
Standard form: [tex]y = ax^{2} + bx = c[/tex]
Our vertex is: [tex]xvertex = - \frac{b}{2a} \\y = x^{2} - 6x + 7 ( STANDARD - FORM)\\[/tex]
Finally we get [tex]y = (x - 3^{2}) - 2[/tex] as our answer.
Have an amazing day!
Brainliest! And 89 points hurry dont have much time! There are 10 fish tanks at a pet store. The data shows the number of fish in each tank.
30, 32, 41, 38, 42, 30, 35, 38, 40, 45
Create a histogram of this data.
To create a histogram, hover over each number of fish range on the x-axis. Then click and drag up to plot the data.
There are no tanks with less than 30 fish, so the first two groups ( 20-24) and (25-29) aren't used.
There are 3 tanks with 30-34 fish.
There are 3 tanks with 35-39 fish.
There are 3 tanks with 40-44 fish.
There are 1 tanks with 45-49 fish.
Now drag the bars for each group to the number of tanks.
See attached picture:
Answer:
There are no tanks with less than 30 fish, so the first two groups ( 20-24) and (25-29) aren't used.
There are 3 tanks with 30-34 fish.
There are 3 tanks with 35-39 fish.
There are 3 tanks with 40-44 fish.
There are 1 tanks with 45-49 fish.
Now drag the bars for each group to the number of tanks.
Step-by-step explanation:
Solve: –7(3x – 7) + 21x ≥ 50
Answer:
no solution
Step-by-step explanation:
if you simplify it all then you have to flip creating 50 = 49
The variable got eliminated. Then inequality –7(3x – 7) + 21x ≥ 50 has no solution.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
–7(3x – 7) + 21x ≥ 50
Simplify the inequality, then we have
–7(3x – 7) + 21x ≥ 50
–21x + 49 + 21x ≥ 50
–21x + 49 + 21x ≥ 50
–21x + 21 ≥ 1
The variable got eliminated. Then inequality –7(3x – 7) + 21x ≥ 50 has no solution.
More about the inequality link is given below.
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What is the volume of this rectangular prism
Answer:
V = 5/8 cm^3
Step-by-step explanation:
V= l*w*h
V = 3/4 * 1/3 * 5/2
The numerator = 3*1*5 = 15
The denominator = 4*3*2 = 24
V = 15/24 cm^3
We can simplify the fraction by divide the top and bottom by 3
V = 5/8 cm^3
solve for y
13 = 6 + y
13 - 6 is 7
7 + 6 = 13
Just subtract the 2 numbers and you get your answer.
Final answer:
The equation 13 = 6 + y is solved by subtracting 6 from both sides, yielding y = 7.
Explanation:
To solve for y in the equation 13 = 6 + y, we need to isolate y on one side of the equation. We can do this by subtracting 6 from both sides of the equation.
Here is how you can solve the equation step by step:
Start with the original equation: 13 = 6 + y.
Subtract 6 from both sides: 13 - 6 = 6 + y - 6.
This simplifies to: 7 = y.
So, the value of y is 7.
HURRY ANSWER THIS AND I WIL GIVE YOU BRAINLEST!!!!
Malia solved an equation, as shown below:
Step 1: 6x = 48
Step 2: x = 48 – 6
Step 3: x = 42
Part A: Is Malia's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
Part B: How many solutions will this equation have?
her resolution is incorrect because it's 6 times x=48. so to get rid of of the six you have to divide it on both sides, so x can be alone. and that's will only have one solution which is x=8
A computer cost £900. It is on sale for 25% off. You also need to pay 6% sales tax. What is the final price of the computer?
First we have to find 25% of 900 pounds (i hope that's the right currency). so 900 x .25 = 225
so we subtract 225 from 900 and get 675 pounds.
to find sales tax we have to find 6% of 675, so 675 x .06 = 40.50
675 + 40.50 = 715.5 pounds
What is the perimeter of triangle ABC ?
Answer:
The perimeter is equal to [tex](y+39)\ units[/tex]
Step-by-step explanation:
we know that
The perimeter of the triangle is equal to the sum of the length of its sides.
so
[tex]P=AB+BC+AC[/tex]
substitute the values
[tex]P=(y+7)+18+14[/tex]
[tex]P=(y+39)\ units[/tex]
Solve for z
1. x. 45
_ = _
16. 40
2. x. 1
_ = _
5. 4
3. 2.5. x
_ = _
10. 50
4. x. 2
_ = _
6. 9
Step-by-step explanation:
[tex]1.\ \dfrac{x}{16}=\dfrac{45}{40}\qquad\text{cross multiply}\\\\40x=(16)(45)\\\\40x=720\qquad\text{divide both sides by 40}\\\\\boxed{x=18}\\\\======================[/tex]
[tex]2.\ \dfrac{x}{5}=\dfrac{1}{4}\qquad\text{cross multiply}\\\\4x=(1)(5)\\\\4x=5\qquad\text{divide both sides by 5}\\\\\boxed{x=\dfrac{4}{5}}\\\\======================[/tex]
[tex]3.\ \dfrac{2.5}{10}=\dfrac{x}{50}\qquad\text{cross multiply}\\\\10x=(2.5)(50)\\\\10x=75\qquad\text{divide both sides by 10}\\\\\boxed{x=7.5}\\\\======================[/tex]
[tex]4.\ \dfrac{x}{6}=\dfrac{2}{9}\qquad\text{cross multiply}\\\\9x=(6)(2)\\\\9x=12\qquad\text{divide both sides by 9}\\\\x=\dfrac{12}{9}\\\\x=\dfrac{12:3}{9:3}\\\\\boxed{x=\dfrac{4}{3}}[/tex]
Write the equation of the line in slope-intercept form using the two points: E(-1, 3) and F(-2, -3).
Answer:
[tex]\large\boxed{y=6x+9}[/tex]
Step-by-step explanation:
The slope-intercept form of the equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points E(-1, 3) and F(-2, -3). Substitute:
[tex]m=\dfrac{-3-3}{-2-(-1)}=\dfrac{-6}{-2+1}=\dfrac{-6}{-1}=6[/tex]
Therefore the equation of a line is:
[tex]y=6x+b[/tex]
Put the coordinates of the point E(-1, 3) to the equation and solve it for b:
[tex]3=6(-1)+b[/tex]
[tex]3=-6+b[/tex] add 6 to both sides
[tex]9=b\to b=9[/tex]
Finally we have:
[tex]y=6x+9[/tex]
a square field has an area of 2000 square feet. to the beat fest foot, how much fencing would be needed to enclose the field
Answer:
180 feet
Step-by-step explanation:
√2000 = 44.8
44.8 x 4 = 179.2 = 180 feet
The amount of fencing that would be needed to enclose this square field is 178.88 feet.
A square field would have both the length and the width being equal both of them could be represented as x.
Area of a square = Length x Width
2,000 = x × x
x² = 2,000
x = √2,000
x = 44.72 feet
The fencing needs to go around the field which means it needs to go around the field's perimeter.
Perimeter of Square = Length x 4
= 44.72 x 4
= 178.88 feet
In conclusion, 178.88 feet of fencing would be needed.
Find out more at https://brainly.com/question/19176786.
If this figure were cut exactly in half along the red line, what would be the area of each part? Please hurry still in math class
A) 18 cm2
B) 24 cm2
C) 38 cm2
the answer is C because it is the right answer
Answer:
The answer is D/trust me
Step-by-step explanation:
the other answer is wrong
The equation of the line of best fit of a scatter plot is y= -7 - 2. What is the y intercept
Answer:
(0,-9)
Step-by-step explanation:
You simply solve the equation and you get the y value. And since the x value is zero...
TA DA!!!!
Answer:
Its -2, I took the test and got it right i dont think this person ^ knows what you meant i might even be wrong with what you want but if its mulitiple choices its -2
find the radius of a circle with an area of 89 sqaure feet.
Answer:
5.32255
Step-by-step explanation:
if the circle's surface area is 89 square feet. The circle's radius will then be 5.32 feet.
What is the area of a circle?It is the closely curving line drawn from the center to an equally distant point. The distance separating a circle's center and perimeter is its radius.
Let r be the radius of the circle. Then the area of the circle is written as,
A = πr² square units
The area of the circle is 89 square feet. Then the radius of the circle will be given as,
89 = πr²
Simplify the equation, then the radius is written as,
πr² = 89
r² = 28.34
r = 5.32 feet
if the circle's surface area is 89 square feet. The circle's radius will then be 5.32 feet.
More about the area of a circle link is given below.
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HELP QUICKY
Which statement is true about the end behavior of the function?
As the x-values go to positive infinity, the function's values go to positive infinity.
Answer: D, As the x values go to positive infinity, the functions values go to positive infinity.
Step-by-step explanation:
This is true for just about any [tex]y=x^{3}[/tex] graph. As the value of the input (x) get larger, the value of the output (y) will get exponentially larger.
consider the equation x^2=36. Which of the statements below are true? select all that apply
Answer:
See possible solutions below.
Step-by-step explanation:
The equation x^2 = 36 is a polynomial equation.
It can be solved by using a radical on both sides. The solution is x = +/- 6.
The equation has two solutions. x = -6, 6.
While this is a polynomial equation, it is specifically called a quadratic since the exponent is 2.
The equation x^2 = 36 has two real number solutions: x = 6 and x = -6. Statements that acknowledge both of these solutions as possible would be true.
Explanation:The equation in question is x^2 = 36. To solve this equation, one must realize that there are two real number solutions since squaring either a positive or negative number will result in a positive number. Taking the square root of both sides of the equation gives us two solutions: x = 6 and x = -6.
Therefore, any statement claiming that there is only one solution is incorrect. The true statements would acknowledge the existence of two solutions, one positive and one negative.
Match the following.
1 .
multiplicative identity
the number 0; when added to any number, the value of the number does not change
2 .
multiplicative inverse
the opposite or negative of a number; the sum of a number and its additive inverse is 0
3 .
commutative property
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
4 .
additive identity
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
5 .
additive inverse
a(b + c) = ab + ac, or a(b - c) = ab - ac
6 .
associative property
the number 1; when multiplied by any number, the value of the number does not change
7 .
distributive property
the reciprocal of a number; the product of a number and its multiplicative inverse is 1
Answer:
1. Multiplicative identity:
The number 1; when multiplied by any number, the value of the number does not change.
2. Multiplicative inverse:
The reciprocal of a number; the product of a number and its multiplicative inverse is 1.
3. Commutative property:
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
4. Additive identity:
The number 0; when added to any number, the value of the number does not change.
5. Additive inverse:
The opposite or negative of a number; the sum of a number and its additive inverse is 0
6. Associative property:
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
7. Distributive property:
a(b + c) = ab + ac, or a(b - c) = ab - ac
Step-by-step explanation:
1. Multiplicative identity:
Ex: 3 × 1 = 3
2. Multiplicative inverse:
Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 1
3. Commutative property:
Ex: 2 + 3 + 5 = 10 , 3 + 2 + 5 = 10 , 5 + 3 + 2 = 10
2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 30
4. Additive identity:
Ex: 2 + 0 = 2
5. Additive inverse:
Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 0
6. Associative property:
Ex: 2 + (3 + 5) = (2 + 3) + 5
2× (3 × 5) = (2 × 3) × 5
7. Distributive property:
Ex: 2(3 + 5) = 2 × 3 + 2 × 5
2(5 - 3) = 2 × 5 - 2 × 3
Answer:1. Multiplicative identity:
The number 1; when multiplied by any number, the value of the number does not change.
2. Multiplicative inverse:
The reciprocal of a number; the product of a number and its multiplicative inverse is 1.
3. Commutative property:
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
4. Additive identity:
The number 0; when added to any number, the value of the number does not change.
5. Additive inverse:
The opposite or negative of a number; the sum of a number and its additive inverse is 0
6. Associative property:
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
7. Distributive property:
a(b + c) = ab + ac, or a(b - c) = ab - ac
Step-by-step explanation:
1. Multiplicative identity:
Ex: 3 × 1 = 3
2. Multiplicative inverse:
Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 1
3. Commutative property:
Ex: 2 + 3 + 5 = 10 , 3 + 2 + 5 = 10 , 5 + 3 + 2 = 10
2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 30
4. Additive identity:
Ex: 2 + 0 = 2
5. Additive inverse:
Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 0
6. Associative property:
Ex: 2 + (3 + 5) = (2 + 3) + 5
2× (3 × 5) = (2 × 3) × 5
7. Distributive property:
Ex: 2(3 + 5) = 2 × 3 + 2 × 5
2(5 - 3) = 2 × 5 - 2 × 3
Step-by-step explanation:Answer:
Easy quick Algebra 2 question. Will give brainliest!
Answer:
Option D
Step-by-step explanation:
The domain of h(x) cannot include 0
h(0) = sqrt (-3) = i sqrt(3)
Which is an imaginary number, and doesn't make sense for the equation to represent imaginary numbers if we are talking about the production of hammers.
The same reasoning can be applied for the second statement.
The domain of the graph should not include zero, beacuse zero people cannot produce any wrenches.
Option D.
which expressions have the same product as 5 * 3/4
Answer:
Step-by-step explanation:
Well let's get a couple of equivalents and you can pick the one you like best.
You could have (5 * 3)/4 = 15/4
This 15/4 will give you 3.75
You could have (2*15)/ (2*4) = 30/8 Multiply top and bottom by 2.
30/8 = 3 6/8 = 3 and 3/4
If a leg of a 45-45-90 triangle is 11 then the hypotenuse is...
a)11
b)11√3
c)11√2
d)5.5
Include work if possible :)
Answer:
c)11√2
Step-by-step explanation:
Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;
hypotenuse^2 = 11^2 + 11^2
hypotenuse ^2 = 242
hypotenuse = [tex]\sqrt{242}[/tex]
hypotenuse = [tex]11\sqrt{2}[/tex]
Answer:
a) 11
Step-by-step explanation:
Please help me I don’t understand
Quick Anwser:
Numbers 3-4, you already have the name, BUT you have to classify if the sides are equal. So, for 3-4 ALSO put, “ top and bottom are equal “ or “sides are the same” so for the rhombus, as an example, say, “all sides are the same”..understand?
The teacher passed out math books.The length is 10 inches and the width is 8 inches.What is the perimeter of each book?
Answer:
36 inches
Step-by-step explanation:
P= 2l + 2w
P= 2(10) + 2(8)
P= 20 + 16
P= 36
Answer:
The answer is 36inches
Step-by-step explanation:
to find out a perimeter of something you need to add the the with and length so basically all you had to do was
10+10+8+8 = 36 inches
hope this helps bye
if y varies inversely with x and y =5 when x=20 find x when y = -4
Answer:
x=-25
Step-by-step explanation:
Inverse variation
xy =k
We know x and y
20*5 =k
100 =k
So the formula is
x y = 100
We know y = -4
x (-4) = 100
Divide each side by -4
-4x/-4 = 100/-4
x = -25
A line passes through the point (-4,-1) and has a slope of -3/2
Answer:
y=-3/2x-1
explanation:
Which statement is the correct interpretation of the inequality –5 > –6? (1 point)
Select one:
a. On a number line, −5 is located to the left of 0 and –6 is located to the right of 0.
b. On a number line, −5 is located to the right of 0 and –6 is located to the left of 0.
c. On a number line, −5 is located to the left of –6.
d. On a number line, −5 is located to the right of –6.
Answer: OPTION D.
Step-by-step explanation:
The symbol of the inequality ">" means "greater than". Then, -5 is greater than -6.
If a negative number -a is greater than other negative number -b , then the distance between -a and zero is shorter than the distance between -b and zero.
You can see in the number line attached that -5 is closer to 0 than -6. Therefore, -5 is located to the right of -6.
Answer:
D
Step-by-step explanation:
which of the following has the greatest value?
A) .4
B) .36
C) .052
D) .173
E) .0985
I need help
Answer:
0.4
Step-by-step explanation:
The way you can tell is by first looking at the left-most digit. If they are all the same, look one to the right. Keep looking until you find one with a greater number than the others.
Pete played 18 tennis matches in a week. Jack played 6 fewer matches than Pete.
How many times the number of matches pete played is the number of matches jack played?
Answer:
Pete played 1.5 times the number of matches that Jack played.Step-by-step explanation:
Pete played 18 tennis matches in a week.
P = 18
Jack played 6 fewer matches than Pete.
J = P - 6
J = 18 - 6
J = 12
How many times the number of matches pete played is the number of matches jack played?
18 / 12 = 1.5
Pete played 1.5 times the number of matches that Jack played.
Answer:
Pete played 1.5 times the amount of matches Jack did.
Step-by-step explanation:
In order to find this, first find the number that Jack played. Since he played 6 fewer than Pete we can solve by subtracting 6 from Pete's number.
18 - 6 = 12
Now to find how many more times higher it is, divide the number Pete does by Jack's number. 18/12 = 1.5
how many different permutations can you make with the letters in the word seventeen A.7560 B.15120 C 17! D.3780
Answer:
A. 7560
Step-by-step explanation:
There are nine letters in the word SEVENTEEN:
1 S
4 Es
1 V
2 Ns
1 T
Possible positions:
For the S, any one of the nine positions. That's ⁹C₁ positions.
For the Es, any four of the remaining eight positions. That's ⁸C₄ positions.
For the V, any one of the remaining four positions. That's ⁴C₁ positions.
For the N, any two of the remaining three positions. That's ³C₂ positions.
For the T, only one way to fill the last position. That's ¹C₁ position.
Total number of positions
= ⁹C₁ × ⁸C₄ × ⁴C₁ × ³C₂ × ¹C₁ = 9 × 70 × 4 × 3 × 1
= 7560
There are 7560 permutations of the letters in the word SEVENTEEN.
The difference between the two roots of the equation 3x2+10x+c=0 is 4 2/3 . Find the solutions for the equation.
Answer:
x1 = - 4
x2 = 2/3
Step-by-step explanation:
Divide the equation by 3 to give
x^2 + 10x/3 + c/3 = 0
The sum of the two roots = - 10/3
So
x1 + x2 = -10/3
x1 - x2 = 4 2/3 Add these two equations.
2x1 = -10/3 + 4 2/3 Change 4 2/3 to an improper fraction
2x1 = -10/3 + 14/3 Combine the right
2x1 = 4/3 Divide by 2
2x1/2 =4/3//2
x1 = 2/3
=====================
x1 + x2 = - 10/3
2/3 + x2 = - 10/3
x2 = - 10/3 - 2/3
x2= -12/3
x2 = - 4
=================
(x - 2/3)(x +4) = 0 Multiply through by 3
(3x - 2)(x + 4) =0
==============
Check
(3x - 2)(x + 4) = 0
3x^2 + 12x - 2x - 8 =0
3x^2 + 10x - 8 = 0
An employee’s new salary is $16,275 after getting a 5% raise. What was the salary before the increase in pay?
Answer:
$15,500
Step-by-step explanation:
Let s represent the initial salary. That salary, plus a 5% raise, comes out to 1.05s = $16,275.
Solve for s by dividing both sides by 1.05:
s = $16,275 / 1.05 = $15,500.
The original salary was $15,500.
Final answer:
The original salary before a 5% raise resulting in a new salary of $16,275 was $15,500. We found this by dividing the new salary by 1.05.
Explanation:
The question asks us to determine an employee's original salary before a 5% raise. To solve this, we assume that the new salary ($16,275) is 105% of the original salary (100% + 5% raise). Therefore, we can set up the following equation: Original Salary × 1.05 = $16,275. Now, we want to find the Original Salary, so we divide $16,275 by 1.05.
Original Salary = $16,275 ÷ 1.05
When we divide $16,275 by 1.05, we get the Original Salary = $15,500.
Therefore, before the increase in pay, the employee's salary was $15,500.
A store owner paid 15$ for a book. She marked up the price of the book by 40% to determine its sellings price what is the selling price of the book
Answer:
$21
Step-by-step explanation:
She bought the book for $15.
15 x 40% = 6
Since she rised the price just add 6 to 15
Hope it was helpful ^^ <3
Good Luck