Help plsss!!!! Thnk you!!!!

Help Plsss!!!! Thnk You!!!!

Answers

Answer 1

Step-by-step explanation:

General quadratic equation: y = ax² + bx + c.

When x = 0, y = -3.

=> (-3) = a(0)² + b(0) + c, c = -3.

We now have y = ax² + bx - 3.

When x = 2, y = -4.

=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,

4a + 2b = -1.

Our 1st system of equations is 4a + 2b = -1.

When x = 4, y = -3.

=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,

16a + 4b = 0, 4a + b = 0.

Our 2nd system of equations is 4a + b = 0.

Now we solve the system of equations:

4a + 2b = -1

- (4a + b = 0)

=> b = -1

Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)


Related Questions

Simplify the expression 9+(3x+4)

Answers

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13


Find the missing side of the triangle.

Answers

Answer:

The second option

Step-by-step explanation:

c=[tex]\sqrt{16^{2} +12^{2} }[/tex]

c=20 m

Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age

Answers

Answer: Kristina  sister's age = 15 years

Step-by-step explanation:

LET the sister's age be rep as x

SO that Kristina = 4/5 of x

Given that Kristina's age = 12 , Then her sister's age can be found using The equation

4/5 x X= 12

4/5 X =12

X = 5 X 12 / 4

=60/4=15

Kristina's sister's age = 15 years.

Plz help I don’t know how to solve this

Answers

Answer:

7- 110

11-70

about rest I don't know sorry

Problem situation:
Janelle is at the movie theater and has $20
to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20 > 8 + 4.99x
Drag each number to show if it is a solution to both the inequality and the problem
situation, to the inequality only, or if it is not a solution.

Answers

Answer:

Rewrite so x is on the left side of the inequality.

8 + 4.99x < 20

Move all terms not containing x to the right side of the inequality.

4.99x < 12

Divide each term by 4.99 and simplify.

x < 2.405

The result can be shown in multiple forms.

Inequality Form:

x < 2.405

Interval Notation:

( −∞ , 2.405 )

Step-by-step explanation:

Answer:

Both:

1

2

Inequality Only:

-4

3/4

2.3

Neither:

2.5

what is the range for a x intercept of (5,0) and a y intercept of (0,3)

Answers

Answer:

(5,0)=x1,y1

(0,3)=x2,y2

so the range will be x1-x2/

When I...
double my number ...
subtract six ...
take the square root and
add four
I get eight.
My number is:

Answers

Answer:

11

Step-by-step explanation:

Work backwards and reverse the operations to find the original number.

Reverse the operations for add four: 8 - 4 = 4

Reverse the operations for take the square root: 4² = 16

Reverse the operations for subtract six: 16 + 6 = 22

Reverse the operations for double the number: 22 ÷ 2 = 11

Will give brainliest please answer please

Answers

Answer:

E,F,B

Step-by-step explanation:

Answer:

A,C,E

Step-by-step explanation:

12/21= .571428571

4/7, 16/28 and 8/14 all result in this decimal

can someone help me, file attached

Answers

Answer:

C. log 10m is the correct answer.

Step-by-step explanation:

The laws of logarithm states that if you have:

[tex] log(a) + log(b ) = log(a \times b) = log(ab) [/tex]

So, comparing that to your question,

[tex] log(m) + log(10) = log(10m) .[/tex]

No it is A c means you multiply them

Please help I only have 1 hour left .

Answers

Answer:

c

Step-by-step explanation:

Express each ratio as a fraction in simplest form.
26:169 and 36 to 78

Answers

Answer:

Step-by-step explanation:

1. 26/169 = 2/13

2. 36/78= 6/13

1/8 = 2/5 times X . What is X

Answers

Answer: 5/16

Step-by-step explanation:

Answer:

0.0125

Step-by-step explanation:

1/8=2/5x

Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.

choose the two number sentences that are true a.5+7=11+2 b.3+8=20-9 c. 5+9=19-4 d.12+7=5+14 e.18-6=15-2

Answers

Answer:

B) 3+8=20-9 & D) 12+7=5+14

Step-by-step explanation:

3 + 8 = 11, 20 - 9 = 11

12 + 7 = 19, 5 + 14 = 19 :)

Three calculators cost as much as seven mugs. Each calculator costs $12 more than each mug. What is the cost of one mug?

Answers

Answer:

3.60

Step-by-step explanation:

3c=7m

c=m+12 solve for m

To obtain the value of one unknown quantity linear equation in one variable can be formed. The cost of one mug is given as $21.

What is a Linear equation?

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

Given that,

The cost of 3 calculators = The cost of 7 mugs.

The cost of each calculator is $12 more than each mug.

Suppose, cost of each mug be x.

And, cost of each calculator is x + 12.

As per the question the following equation can be made,

7 ×(x + 12) = 3x

=> 7x - 3x = 84

=> 4x = 84

=> x = 21.

Hence, the cost for one mug is $21.

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Find the perimeter of the figure.
8 m
12 m
10 m
9 m
29 m

Answers

Answer:  the answer is going to be 64m hope this helped :)

Step-by-step explanation:

Estimate 0.95% of 700

Answers

Answer:

6.65

Step-by-step explanation:

0.95% of 700

= 0.0095*700

= 6.65

The value of 0.95% of the number 700 is 6.65.


What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number 700 is 0.95%. The number will be calculated as below,

Number = 0.95% of 700

Number = 700 x 0.95/100

Number = 6.65

Therefore, the value of 0.95% of the number 700 is 6.65.

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What is the solution to the equation 3^x = 10?

Answers

Answer:

log3 (10) = x

the 3 is a tiny 3

Step-by-step explanation:

remember the saying, left right left.

so, 3 goes to the left, x goes to the right, and 10 goes to the left side of the equal sign which in turn comes out to log3(10) =x

what iis the answer to this question
1/5x40

Answers

Answer:

8

Step-by-step explanation:

Answer:

1/5 x 40 = 8

(Hope this helps! Btw, I am the first to answer.)

A point P os equi distant from R(-2,4) and S(6,-4) and its x co ordinate is twice its Y co ordinate find co ordinates of P

Answers

Answer: [tex]P(-4,-2)[/tex]

Step-by-step explanation: Distance between two points is calculated as

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Equidistant means the same distance, i.e., the distance between points P and R is equal to the distance between points P and S.

Suppose P's y-coordinate is a. If its x-coordinate is double, then

(x,y) = (2a,a)

Thus

[tex]\sqrt{(2a+2)^{2}+(a-4)^{2}} =\sqrt{(2a-6)^{2}+(a+4)^{2}}[/tex]

Solving

[tex]4a^{2}+8a+4+a^{2}-8a+16=4a^{2}-24a+36+a^{2}+8a+16[/tex]

[tex]5a^{2}+20=5a^{2}-16a+52[/tex]

[tex]-16a=32[/tex]

[tex]a=-2[/tex]

y-coordinate is [tex]-2[/tex], then x-ccordinate is

2a = 2(-2) = [tex]-4[/tex]

Coordinates of point P equidistant for R and S is [tex](-4,-2)[/tex].

How do I graph y=x-3 and y=-2x+6

Answers

Answer:

you can use a graphing calc

Step-by-step explanation:

HELP PELASE ASAPppppp

Answers

Answer:

sin M = NK/MK = m/n

cos K = NK/MK = m/n

=> sin M/cos K = 1

part of me wants to say that the answer is A , but the other part of me is saying the answer is D, which one is it?​

Answers

Answer:

Pretty sure it's A

please help asap!!!!

Answers

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

can someone help me with these three? I just need to find the unit rates for all, I’ll mark as brainliest!!

Answers

Answer:

6. 7.5/1

7. 2.4/1

8. 40/1

Step-by-step explanation:

All you have to do is divide the 2 numbers to find the unit rate.

Answer:

6: 7.5 pizzas per Classroom

7: 2.4 Liters per test

8: 40 Points per Game

Which expression is equivalent to (5^3)^-2

Answers

(5^3)^−2 = 5^-6 = 1/(5^6)

what are all the sums and differences of 3/4?​

Answers

Answer:

1/2 + 2/4

11/12 - 1/6  

3/5 + 3/20  

7/8 - 1/2

Step-by-step explanation:

[tex]18 = -5b - 17[/tex]

Answers

Answer:

b = -7

Step-by-step explanation:

18 = -5b-17

Add 17 to each side

18+17 = -5b-17+17

35 = -5b

Divide each side by -5

35/-5 = -5b/-5

-7 = b

Vitai ir 8 reizes vairak konfekšu neka Annai, bet Uldim ir par 10 konfektēm vairak neka Annai. Cik konfektes ir katram no bērniem, ja kopa viņiem ir 60 konfektes? Lai atrisinatu, sastadi vienadojumu!

Answers

Atbilde:

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Soli pa solim:

Latvietis

Anna = x

Vita = x + 8

Uldis = x + 10

Kopā = 60

x + x + 8 + x + 10 = 60

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour

Answers

Answer:

0.5 pounds per container.

Step-by-step explanation:

just divide 3 pound by 6 containers so it would be 3/6 which is equal to 1/2 which is the same as 0.5

There each container holds a number of pounds of flour which would be  0.5 pounds.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

If three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour, we can find out how many pounds of flour each container holds by dividing the total amount of flour by the number of containers.

We can use the following equation to find out how many pounds of flour each container holds:

pounds of flour per container = total pounds of flour / number of containers

So, using this equation:

pounds of flour per container = 3 / 6

Apply the division operation, and we get

pounds of flour per container = 0.5

Each container holds 0.5 pounds of flour.

To learn more about the division operation click here :

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law of sines and law of cosines

Answers

Answer:

Step-by-step explanation:

[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]

Answer:

4. [tex]\displaystyle 38 ≈ x[/tex]

3. [tex]\displaystyle 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 52 ≈ x[/tex]

1. [tex]\displaystyle 15° ≈ m∠X[/tex]

Step-by-step explanation:

Before we begin, here are the formulas for both laws:

Solving for Angles

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]

Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]

Take the square root of the end result or you will throw it off!

-----------------------------------------------------------------------------------

Solving for Angles

[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]

Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]

_____________________________________________

4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]

3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]

You could have also used the Law of Sines sinse the base angles are congruent [30°].

1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]

I am joyous to assist you at any time.

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