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Solve the following: 7y−20=3y+12
1: y= 3.2
2: y=8
2: y= -8
4: y= 28

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

[tex]y = a(x - 1)^2 - 6[/tex]

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]

or

[tex]a = -\frac{1}{9}[/tex]

Therefore, the equation of the parabola is

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]

Answer:

Step-by-step explanation:

sin(-430)=-sin(430)=-sin(360+70)=-sin 70

Answer:

I believe in the question it only states 4% interest without any time factor so therefore it would be $10 interest for 1 month or 8 months

Is this a trick question?

Step-by-step explanation:

Similar triangles may or may not be congruent

The value of x that makes both triangles similar is 4.5

The equivalent ratio of both triangles is:

[tex]\mathbf{2 : 1 = 9 : x}[/tex]

Express the above equivalent ratio as a fraction

[tex]\mathbf{\frac 12= \frac x9 }[/tex]

Multiply both sides of the fraction by 9

[tex]\mathbf{\frac 12\times 9 = \frac x9 \times 9 }[/tex]

Cancel out common factors

[tex]\mathbf{\frac 12\times 9 = x}[/tex]

Divide 12 by 9

[tex]\mathbf{4.5 = x}[/tex]

Rewrite the above expression as:

[tex]\mathbf{x = 4.5 }[/tex]

Hence, the value of x is 4.5

Read more about similar triangles at:

https://brainly.com/question/14926756

27.400

Step-by-step explanation:

187X187 = 34.969

87X87=7.569

34.969 - 7569 = 27.400

Use the identity

(a + b)² = a ² + 2ab + b ²

Then rewrite 187² as

187² = (100 + 87)² = 100² + 2•100•87 + 87²

Subtract 87² eliminates the last term from above, so we're left with

(100² + 2•100•87 + 87²) - 87²

= 100² + 2•100•87

= 10000 + 2•8700

= 10000 + 17400

= 27400

Answer:

16

Step-by-step explanation:

it doubles every time    2,4,8. 16

Answer:

102°

Step-by-step explanation:

Angles in a straight line is added up to 180°

So,

Angle 1 + Angle 2 = 180°

Given that,

Angle 2 = 78°

We can find angle 1

Let us find,

Let the angle 1 be x

[tex]x+78=180\\x=180-78\\x=102[/tex]

As a and b lines are parallel,

Angle 1 = Angle 5 (Corresponding angles)

Also we already found the angle 1

So,

Angle 5 = 102°

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

proportional

Step-by-step explanation:

hope this helps

Let's try it! If we set these two ratios equal to each other and cross-multiply, the results should be the same if they are, in fact, proportional.

8/20 = 20/80

400 ? 640

400 and 640 are not the same number, so these ratios are not proportional.

Hope this helps!! :)

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 1

Interval Notation:

( − ∞, 1)

Step-by-step explanation:

I'm not sure about my answer

Answer:

the weight of each marble is 2.55 grams

Answer:

Step-by-step explanation:

If one of the data points has the form (0,a)

, then a is the initial value. Using a, substitute the second point into the equatio f(x)=a(b)x, and solve for b.If neither of the data points have the form (0,a)

, substitute both points into two equations with the form f(x)=a(b)x Solve the resulting system of two equations in two unknowns to find a and b.Using the a and b found in the steps above, write the exponential function in the form f(x)=a(b)x.

Answer:

I don't know what to do sorry

Answer:

Your answer is C. x=6 I hope this helps you! :D

If you need i can also provide steps.

Answer:

C. x=6

Step-by-step explanation:

You can work it out as follows:

6 - 0.2x = 2(6 - 0.6x) =>

6 - 0.2x = 12 - 1.2x =>

-0.2x + 1.2x = 12 - 6 =>

1.0x = 6 =>

x = 6

Answer:

bet but need barinlyist

Step-by-step explanation:

Hey there! Your answer is:

7 inches

Explanation:

If Tyler is 5 inches tall, he needs to grow 7 inches to be a foot tall. This is because 12 inches are in 1 foot. We can do a simple subtraction problem to figure this out.

12 inches - 5 inches = 7 inches

Since Tyler is 5 inches tall, we know that if we subtract 12 inches from 5 inches we will get the number of inches he needs to grow.

I hope this answer helps you out! Let me know if you have any questions and have a wonderful day/night!

[tex] = > 6a - 2b[/tex]

[tex] = > 6(5) - 2(7)[/tex]

[tex] = > 30 - 14[/tex]

[tex] = > 16[/tex]

Answer:

$14.6

Step-by-step explanation: because adding how all they are in total.

Answer:

B

Step-by-step explanation:

Answer:

27 minutes

Step-by-step explanation:

Answer:

hope this helps

pls mark as brainliest

Answer:

c

Step-by-step explanation:

Lets check if the three conditions hold.

1 : Continuity of g on the interval [0,2]

First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]

2 : Differentiable on the same interval

Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]

Also we have g'(x) = 2*3*x² - 3 = 6x² - 3

3 : Do we have g(0) = g(2) ?

Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1

And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11

Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0

Answer:90

Step-by-step explanation:

Answer:

• Let the other interior angle be x

[tex]{ \rm{x + 98 \degree = 164\degree}} \\ \\ { \rm{x = 164\degree - 98\degree}} \\ \\ { \boxed{ \rm{x = 66\degree}}}[/tex]

Step-by-step explanation:

i hope this is what you need

10 quarters 6 nickels 18 dimes

Answer:

[tex]y - 5 = - 3(x - 3)[/tex]

Step-by-step explanation:

our original equation

[tex]y = \frac{1}{3} x - 7[/tex]

A perpendicular slope of a line is the negative reciprocal

So our slope would be -3

point slope form is

[tex]y - y1 = m(x - x1)[/tex]

let's substitute our given point (3, 5) and our perpendicular slope, -3

[tex]y - 5 = - 3(x - 3)[/tex]