What is the equation of the parabola with a vertex of (0,7) and passing through (-1,10)?

Answers

Answer 1
y = 3x^2 + 7 is the equation of the parabola

Related Questions

During a certain day, a worker did 77 parts. He usually does 55 parts per day. What was the percent by which he increased the usual number of parts?

Answers

so, he usually does 55 only, but this one day he did 77, 77 - 55 is 22, so he did 22 more this one day.

if we take 55 to be the 100%, what is 22 off of it in percentage anyway?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 55&100\\ 22&p \end{array}\implies \cfrac{55}{22}=\cfrac{100}{p}\implies p=\cfrac{22\cdot 100}{55}[/tex]

given f(x)=x^2-x; find f(-5)

Answers

Plug in - 5 where X is.

f(- 5) = (- 5)^2 - ( - 5).

(- 5)( - 5) = 25 so now we have 25 - (- 5). Because there are two negatives back to back, the number becomes a positive so the equation becomes 25 + 5 = 30. 

f(- 5) = 30. 

Patty is inviting her friends to a party. She has 30 snack bars and 45 juice boxes, and she wants to give the same number of each item to each friend. Use the drop-down menus to describe how many friends Patty can invite. At most, Patty can invite friends to the party. If she invites that many friends, each will receive snack bars and juice boxes.

Answers

She would have to invite 15 friends because each friend would get 2 snack bars and 3 juice boxes



Hope this helps

What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.

Answers

a^2 +b^2 = (2.5sqrt(2))^2

2a^2 = 6.25 *2

a^2 = 6.25

a = sqrt(6.25)

a = 2.5

 length of each side = 2.5 units

Mario baked cookies for the class party. the students ate 3/4 of what mario bought. the students on his bus ate 1/3 of what was left. mario had 6 left when he got home. how many cookies did mario bake?

Answers

Mario baked 36 cookies

An auditorium is to seat 2,400 people. The building code requires three square feet for each person. How many square meters will that auditorium have?

Answers

Answer:
______________________________________
Explanation:
______________________________________
Method 1)

2,400 person (3 ft² / person) = __?__ m² .

The units of "person" ; 'cancel out"; since "person/ person" = 1 ; and 1/1  = 1. 

and we have:  "2,400 * (3 ft²) = 7, 200 ft² .
______________________________________
We are ask to find the value, in units of "m² " ;
______________________________________
     → So; we convert "7, 200 ft² " ;  to "m² " ;
______________________________________
    → Note the conversion:  1 m² = 10.7639 ft² ;
______________________________________
    → 7, 200 ft² * [ ( 1m²) / ( 10.7639 ft²) ] ;

                          = [ (7, 200 ) / (10.7639 )] m² ;
 
                          =  668.9025353264151469 m² ;
       
                            ⇒    Round to 668.903 m² .
______________________________________
Method 2) 
______________________________________

   2,400 person (3 ft² / person) = __?__ m² .

Since we want the answer is units of:  "m² "  ;
___________________________________________ 
Let us convert:  "3 ft² " to units of:  "m² " ;  and then rewrite the problem.
___________________________________________
  Note the conversion:  1 m² = 10.7639 ft²  ;
___________________________________________
                           = [ (7, 200 ) / (10.7639 )] m²
 
                          =  668.9025353264151469 m²

                                ⇒    Round to 668.903 m² .
______________________________________
Method 3) 
______________________________________
    2,400 person (3 ft² / person) = __?__ m² . 
______________________________________
  Note the conversion:  1 m² = 10.7639 ft²  ;
______________________________________
    (2,400 person) * (3 ft² / person) * [ ( 1m²) / ( 10.7639 ft²) ] ;

             =  { [ (2,400) * (3) * (1) ] / [ 10.7639 ] }  m² ;

             = { [ (2,400) * (3) ] / [ 10.7639 ] }  m² ;   {Note:  The "1" can be ignored.}.

             =  [ (7,200) / (10.7639) ]  m² ;
 
             =  668.9025353264151469 m² ;

                      ⇒ Round to 668.903 m² .
___________________________________________________

Help plz
What is the approximate distance between points A and B?

A 3.61
B 9.22
C 10.35
D 12.62

Answers

Answer:

B 9.22

Step-by-step explanation:

Hello

to find the distance, you can use the distance between two points equation

Given

[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})\\\\the\ distance(d)\\\\D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\[/tex]

Step 1

define

[tex]P1=A=(4,3)\\P2=B=(-2,-4)\\[/tex]

Step 2

put the values into the equation

[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\D=\sqrt{(-2-4)^{2} +(-4-3)^{2} }\\ D=\sqrt{(-6)^{2}+(-7)^{2} }\\ D=\sqrt{36+49} \\D=\sqrt{85} \\D=9.22[/tex]

the distance between the points is 9.22 ⇒B

Have a great day

the answer you are looking for is....

B 9.22

Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.

Answers

Answer:

a. They are same side interior angles. Angle A measures 55°.

They are same side interior angles. Angle A measures 55° which is correct option(A).

What are Interior angles?

Interior angles is defined as those that lie inside a shape, or those that are located in the region enclosed by two parallel lines that cross each other at a horizontal angle.

What are Alternate Interior Angles?

Alternate Interior Angles is defined as these angles are created when a transversal intersects two parallel lines. The opposing sides of the transversal produce this non-adjacent pair of angles.

What are Vertical angles?

Vertical angles is defined as when two lines meet each other at a point. They are always equal to each other, In other words, four angles are created anytime two lines cross or intersect.

What are corresponding angles?

Corresponding angles is defined as any pair of angles that are both on the same side of the transversal and of one of the two lines that it intersects.

Given angle measure as 125°

Therefore, they are same side interior angles. Angle A measures 55°.

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Ten times the square of a non zero number is equal to eighty times the number

What is the number?

Answers

The problem says that 10x^2 = 80x. Since x is guaranteed not to equal zero, divide both sides by x; 10x=80. Divide both sides by 10 and x=8

The Number in the statement is 4/5.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Ten times the square of a non zero number is equal to eighty times the number.

let the number be x.

So, 10x² = 8x

10x² - 8x= 0

2(5)(x)(x) - 2 (2)(2)(x) = 0

2x( 5x - 4)= 0

Now, 2x= 0 or 5x-4=0

x= 0 or x= 4/5

Hence, the number is 4/5.

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Which of the following is equivalent to 34 · 3-2?

Answers

34 multiplied by 3 is 102, subtract 2 and your answer is 100.

∠DAC and ∠CAB are adjacent. m∠DAC = 53°, m∠DAB = 64°. What is the measure of ∠CAB?
A) 11°
B) 117°
C) 53°
D) 64°

Answers

∠CAB = m∠DAB - m∠DAC
∠CAB = 64 - 53
∠CAB = 11

answer

A) 11°

PLEASE ANSWER QUICK
Isaac and his sister plan to surprise their parents by buying them each a pair of shoes. They agree that Isaac will pay 68% of the price since he receives a greater allowance. Use an estimation strategy to determine how much Isaac will pay if the total bill is $97.65. Show the step-by-step process you used to solve the problem.

Answers

$97.65 x .68 = 66.402 (rounded) 66.40
Issac will pay $66.40.
97.65 / 100 = 0.9765
This finds 1% of 97.65
0.9765 x 68 = 66.402
This finds 68% of 97.65
Isaac will pay $66.40

A gas station sells regular gas for $2.30 per gallon and premium gas for $3.00 a gallon. at the end of a business day 250 gallons of gas had been sold, and receipts totaled $631. how many gallons of each type of gas had been sold?

Answers

quantity of $2.20 fuel = total quantity - quantity of $3.00 fuel. However .... As an example, suppose we had 80 gallons if the $3.00 gas. Then it ... From this you can observe that the quantities ofeach type of gas are directly linked. ... If we have none of this then we have all of the 280 gallons as the $2.20 gas.

BRAINIEST AND YOU WILL GET 10 POINTS!

What is the value of p in the equation 4p + 3(p + 4) = 12p + 12?
12, 1, 0, -1.

Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
3x = 9, 3x = 1 , 11x = 9, 11x = 1

What is the value of z in the equation 3z + 5 = 4z − 8?
13, 1, -13, -1

The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:

Step 1: 3(4x − 2) = 9 + 2x + 5
Step 2: 12x − 2 = 14 + 2x
Step 3: 12x − 2x = 14 + 2
Step 4: 10x = 16
Step 5: x = 1.6

In which step did the student first make an error and what is the correct step?


Step 2: 12x − 2 = 4 + 2x

Step 2: 12x − 6 = 14 + 2x

Step 3: 12x + 2x = 14 + 2

Step 3: 12x − 2x = 14 − 2

Answers

1 - The value of p in the equation is p = 0.

2 - The simplified form of the equation is 3x = 1, the reason behind this is when you do the equation, you get x = 1/3. When you do the equation 3x = 1 you get x = 1/3 as well.

3 - The value of z in the equation is z = 13.

4 - In order to figure out what step he did something wrong on, we first need to solve the problem, the answer we will get is x = 2.
To do this the easy way, we can solve each step, and see what one wouldn't equal 2, which the step he did wrong is Step 2.
So, to do Step 2 correctly, it would be: Step 2 - 12x − 6 = 14 + 2x.

What is the benefit of using statistical sampling versus nonstatistical sampling?

Answers

Statistical sampling: Uses laws of probability for selection and evaluation of a sample. Allows for quantification of audit risk and sufficiency of audit evidence. Nonstatistical sampling: Does not utilize statistical models in calcualtions. Uses a non-mathematical approach to determine sample sizes and evaluate the selected samples.

Somebody help me on this real quic plz

Answers

Basically you are just multiplying 2 with the x-values. So...
x    y
0 = 0
1 = 2
2 = 4
3 = 6
5 = 10
I hope this helps love! :)

How would I solve
-1+2i / -1-3i

Answers

-1+2i / -1-3i
(-1+2i)(-1+3i) / (-1-3i)(-1+3i)
1-5i+6i² / 1-9i²
-5-5i / 10
-5/10 - 5i/10
-1/2 - 1i/2

The sum of the digits of a two-digit number is 7. the new number obtained when the digits are reversed is 27 less than the original number. find the original number

Answers

We can figure this out by finding all the combinations:
 0 + 7 = 7 (07)
1 + 6 = 7 (16)
2 + 5 = 7 (25)
3 + 4 = 7 (34)
4 + 3 = 7 (43)
5 + 2 = 7 (52)
6 + 1 = 7 (61)
7 + 0 = 7 (70)

Obviously 70 can't be our number, as it would be a one digit number, 

Since we're going down in value ( 27 less ) our original number will be a larger number.

52 reversed is 25 which is 27 less than 52.

Our original number is 52 here.

An angle measures 150° less than the measure of a supplementary angle. what is the measure of each angle?

Answers

The measure of the angle is 30 degrees

What is a supplementary angle?

A supplementary angle can be defined as an angle that sum up t0 180 degrees.

The two angles must add up to 180 degrees, that is, angles on a straight line.

The properties of supplementary angles are;

The two angles are  supplementary angles when they add up to 180°The two angles together make a straight line, but the angles need not in a place“S” of supplementary angles represents a “Straight” line. This means they form 180°

From the information given, we have that;

The angle measures 150 degrees less of supplementary angles

Then,

180 - 150

30 degrees

Hence, the value is 30 degrees

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The two supplementary angles in question measure 15° and 165° respectively, with one angle being 150° less than the other.

We are given that one angle measures 150° less than its supplementary angle. By definition, supplementary angles add up to 180°. Let's call the angle in question 'A', and its supplementary angle 'B'.

We thus have the following relationship:

A = B - 150°

and

A + B = 180°

Substituting the first equation into the second, we get:

(B - 150°) + B = 180°

This simplifies to:

2B - 150° = 180°

2B = 330°

B = 165°

Now that we know the measurement of B, we can find A:

A = 165° - 150°

A = 15°

So, the two angles are 15° and 165° respectively.

What is the equation in point-slope form for the line parallel to y = -2x + 10 that contains J(6, 8)?
a. y - 8 = -2(x - 6)
b. x - 8 = 2(y - 6)
c. y - 8 = 2(x - 6)
d. y + 8 = -2(x - 6)

Answers

in the equation y=mx+b

m = slope
b = y-intercept
x = variable
y = what you get

Answer: Hello mate!

A linear equation has the form y = ax + b

where x is the variable, a is the slope and b is the x-intercept.

We want to find the pararel line to y = -2x + 10

A paralel line of this, will be another line with the same slope ( -2 in this case) and a different x-intercept; then our line has the shape of:

y = -2x + b

and we know that this line pases through the point (6,8), and with this info we could find the value of b:

8 = -2*6 + b

b = 8 + 12 = 20

then y = -2x + 20 is the pararel line that passes through the point (6.8)

Then the correct answer is the option a:

a) y - 8 = -2(x - 6) = -2x + 12

y = -2x + 12 + 8 = -2x + 20

Use < , > , or = to compare the numbers. 54 68 70 70 55 930 778 703

Answers

54 < 68 (54 is less than 68)
70 = 70 (70 is equal to 70)
55 < 930 (55 is less than 930)
778 > 703 (778 is more than 703)
54 < 68
68 < 70
70 = 70
70 > 55
55 > 930
930 > 778
778 > 703

I hope this helps! -Wajiha

Find the tangent of the angle in standard position in which the terminal side passes through the point (3,4)

Answers

tangent of the angle  = 3/4

angle =   36.87 degrees

Which equation could be used to solve the given problem: if three times a number is increased by 24, the result is 4 less than seven times the number?

Answers

3x+24=7x-4 I think. Blah blah blah

The equation of the given problem would be 3x + 24 = 7x - 4 and the solution is 7.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have given that "if three times a number is increased by 24, the result is 4 less than seven times the number"

Let the number be x then we have;

three times a number means 3x

seven times the number means 7x

Therefore, the equation will be;

3x + 24 = 7x - 4

Now solving for x unknown number;

3x + 24 = 7x - 4

24 + 4 = 7x -3x

28 = 4x

x = 7

Hence, the equation of the given problem would be 3x + 24 = 7x - 4, and the solution is 7.

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Draw two isosceles triangles, ∆ABC and ∆ADC with common base AC. Vertexes B and D are in the opposite semi-planes determined by AC. Draw the line segment BD. Prove: AC ⊥ BD.

Answers

suppose AC and BD intersect at E
ΔABC is isosceles triangle     Given
AB=CB                                   Definition of isosceles triangle
ΔADC is isosceles triangle     Given
AD=CD                                   Definition of isosceles triangle
BD=BD                                    Reflexive property
ΔBAD=ΔBCD                          SSS theorem
∠ABE=∠CBE                           CPCTC
∠BAE=∠BCE                          Definition of isosceles triangle
ΔABE=ΔCBE                          ASA theorem
∠AEB=∠CEB                          CPCTC

∠AEB+∠CEB =180                Linear pair of angles are supplementary
∠AEB=∠CEB =90                  Algebra

∠AEB is a right triangle         Definition of right triangle
AC ⊥ BD                                Definition of perpendicular 

Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
1. 7.7 hours
2. 13.0 hours
3. 14.3 hours
4. 15.7 hours

Answers

divide 143.00 by 11.00

143/11 = 13

Answer is 2. 13.0 hours

Answer:

Step-by-step explanation:

Byron earns $11.00 per hour.

Lets say he works for x hours

for x hour Byron earn =11x

It is given that

Byron have to work to earn= $143.00

so

11x= 143

x=143/11

x=13

so He must work for 13.0 hours .

Given m∠P = 38° and m∠O = 70°, find m∠1.

38
72
108
142

pls

Answers

In a triangel are all corners together 180 degrees:
180 - 38 - 70 = 72
all corners P O 1

ANSWER:The last corner is 72 degrees big.

Answer:

The answer is m∠1 = 72°

Step-by-step explanation:

One of the properties of a triangle is that all the angles of the triangle must add up to 180°.

Therefore:

m∠P + m∠O + m∠1 = 180°

Given that:

m∠P = 38° and m∠O = 70°

We can conclude that:

38° + 70° + m∠1 = 180°

m∠1 = 180° - 38° - 70°

m∠1 = 72°

What happens when you multiply 2 negative numbers?

Answers

1) either you'll get a negative number
Or
2) You'll get a positive Number..
But I'm guess you'll get a positive number
The result is a positive number. Negative times negative is a postive

Is the following relation a function? {(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)}

Answers

A function will not have any repeating x values...it can have repeating y values, just not the x ones. So all ur x's have to be different.

This relation is NOT a function because u have repeating x values...u have 2 x values that are 0.3

Answer:

No, the given relation is not a function.

Step-by-step explanation:

Consider the given relation

[tex]\{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)\}[/tex]

We need to check whether the given relation is function or not.

A relation is a function if there exist a unique value of y for each value of x.

In the given relation, for x=0.3 there exist more than one value of y.

y=0.6 at x=0.3

y=0.7 at x=0.3

For one input there exist more than one output. Therefore, the given relation is not a function.

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm. What is the length of the other diagonal, DF? 5 cm 16 cm 21 cm 32 cm

Answers


x + y  = 24       where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24. 
x^2 + z^2 = 13^2
y^2 + z^2  = 20^2            where z  = 0.5 * length of smaller diagonal)

form last 2 equations

y^2 - x^2  = 20^2 - 13^2  =  231
 now y = 24-x so we have

(24 - x)^2    - x^2 = 231

576 - 48x = 231

48x = 345

x =  7.1875

z^2  =  13^2 - 7.1875^2 =  117.34
z =  1.83

so smaller diagonal = 21.66 cm


looks like its the third choice.



The length of the other diagonal, DF is 44 cm.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Since the kite has two pairs of congruent adjacent sides, we know that the diagonals of the kite are perpendicular bisectors of each other.

Therefore, we can use the Pythagorean theorem to find the length of the other diagonal DF.

Let x be the length of the other diagonal, DF.

We know that one diagonal EG has a length of 24 cm, so we can use the Pythagorean theorem to find the length of the perpendicular bisector of EG, which is half of DF.

By the Pythagorean theorem, we have:

[tex](20/2)^2 + (x/2)^2 = 24^2\\100 + (x/2)^2 = 576\\(x/2)^2 = 476\\x/2 = \sqrt(476)\\x = 2 \times 21.86\\x = 43.72\\x = 44[/tex]

Therefore,

The length of the other diagonal DF is 44 cm

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Find three consecutive odd integers whose sum is 117.

Answers

x+x+x+1+3= 117
3x+4 =117
3x=117-4=113
Therefore x=113/3=37.7( approx)
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