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[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:

the weight of each marble is 2.55 grams

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

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:

0.020

0.0200

Step-by-step explanation:

Because there's always an imaginary 0 at the end, so there are infiite equivalant answers to this.

Hope this helps, and stay safe!! :))))

Answer:

(2/4) and (5,1) negative slope

(-7,8)and(-7,0) undefined slope

(3,5) and (-1,2) positive slope

(6,-3) and (-4,-3) zero slope

Step-by-step explanation:

took the assignment a while back <3 not sure if those are the ones that were provided in ur edge tho because there was no picture provided on this question

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!

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

look at the image of the graph

Answer:

c

Step-by-step explanation:

Answer:

y=23

Step-by-step explanation:

y-x=11

x=12

y=x+11

y=12+11

y=23

Answer:

Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.

Answer:The number of nickles is 6  

The number of dims is 12 .

Step-by-step explanation:

Given as :

Sum of total number of dims and nickels coins = 18

The value of total combination = $1.50

Let The total number of dims = d

Let The total number of nickels = n

1 nickles = $0.05

1 dims = $0.1

According to question

Total number of dims and nickels coins = number of dims + number of nickels

Or, d + n = 18            .........1

And

$0.1 ×d + $0.05 ×n = $1.50

Or, 0.1 d + 0.05 n = 1.50            .........2

Now, Solving eq 1 an eq 2

0.1 × (d + n) - (0.1 d + 0.05 n) = 0.1 × 18 - 1.50

Or, (0.1 d - 0.1 d) + (0.1 n - 0.05 n) = 1.8 - 1.50

Or, 0 + 0.05 n = 0.3

Or, 0.05 n = 0.3

∴  n =

i.e n = 6

So, The number of nickles = n = 6

Put the value of n int eq 1

∵ d + n = 18

Or, d = 18 - n

Or, d = 18 - 6

i.e d = 12

So, The number of dims = d = 12

Hence, The number of nickles is 6 and the number of dims is 12 .

Step-by-step explanation:

Step-by-step explanation:

we will add 3+37=40

40/8=5

mark me brainlist plz

Answer:

You have to add a certain amount of a number to 3 7/8 to make five. Or the easy way, 5 - 3 7/8 = 1 1/8

Step-by-step explanation:

If you want can you make me brainlyist?

Also, I hope this helped!

Answer: 3 is constant term, 6ab is variable term, and C is variable term

Answer:

3: Constant term, 6ab: Variable term, C: Variable term

Step-by-step explanation:

Answer:

For any natural number m, we know that

2m, \mathrm{m}^{2}-1, \mathrm{m}^{2}+1m

2

−1,m

2

+1 is a Pythagorean triplet.

i. 2m = 6

\begin{array}{l} \Rightarrow \mathrm{m}=\frac{6}{2}=3 \\ \mathrm{m}^{2}-1=3^{2}-1=9-1=8 \\ \mathrm{m}^{2}+1=3^{2}+1=9+1=10 \end{array}

⇒m=

2

6

=3

m

2

−1=3

2

−1=9−1=8

m

2

+1=3

2

+1=9+1=10

∴ (6, 8, 10) is a Pythagorean triplet.

ii. 2m = 14

\begin{array}{l} \Rightarrow \mathrm{m}=\frac{14}{2}=7 \\ \mathrm{m}^{2}-1=7^{2}-1=49-1=48 \\ \mathrm{m}^{2}+1=7^{2}+1=49+1=50 \end{array}

⇒m=

2

14

=7

m

2

−1=7

2

−1=49−1=48

m

2

+1=7

2

+1=49+1=50

∴ (14, 48, 50) is not a Pythagorean triplet.

iii. 2m = 16

\begin{array}{l} \Rightarrow \mathrm{m}=\frac{16}{2}=8 \\ \mathrm{m}^{2}-1=8^{2}-1=64-1=63 \\ \mathrm{m}^{2}+1=8^{2}+1=64+1=65 \end{array}

⇒m=

2

16

=8

m

2

−1=8

2

−1=64−1=63

m

2

+1=8

2

+1=64+1=65

∴ (16, 63, 65) is a Pythagorean triplet.

iv. 2m = 18

\begin{array}{l} \Rightarrow \mathrm{m}=\frac{18}{2}=9 \\ \mathrm{m}^{2-1}=9^{2}-1=81-1=80 \\ \mathrm{m}^{2}+1=9^{2}+1=81+1=82 \end{array}

⇒m=

2

18

=9

m

2−1

=9

2

−1=81−1=80

m

2

+1=9

2

+1=81+1=82

∴ (18, 80, 82) is a Pythagorean triplet

Step-by-step explanation:

For any natural number greater than 1,(2m,m

2

−1,m

2

+1) is Pythagorean triplets.

So, if one number is 2m, then another two numbers will be m

2

−1 and m

2

+1.

Given, one number = 4

Then Pythagorean triplets:

2m=4 or m = 2

So,

m

2

−1=(2)

2

−1=4−1=3

m

2

+1=(2)

2

+1=4+1=5

Now, (3)

2

+(4)

2

=(5)

2

Or 9 + 16 = 25.

I hope you all like this answer.

Mark as a brainlist.

rate my answer guys ❤️

30/5 is equal to 6

this is your x-intercept

30/3 is equal to 10

this is your y-intercept

I think you know what to do now :)

(0,10) and (6,0)

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

First of all, recognize that any basic arithmetic operation between a rational number and an irrational number will have an irrational result. That means, you can eliminate any answer choices that involve an irrational number.

Fractions and mixed numbers involving integers are always rational, so you only need to look at the radicals. You know 9 is 3×3, so is a perfect square, and √9 = 3 is rational. You know 5 is not a perfect square, so √5 is irrational.

Considering the above, any expression involving √5 will have an irrational result. That means you can eliminate choices B and D.

  choices A and C will result in a rational number

_____

Additional comment

  A = 6.8 +0.75 = 7.55 (rational)

  C = 6.8 × 0.75 = 5.100 (rational)

Answer:

1 1/5

Step-by-step explanation:

3/10 + 9/10

The denominator is the same so we can add the numerators

12/10

Rewriting

10/10 + 2/10

1 2/10

Simplify the fraction

1 1/5

Answer:

1.2 would be the decimal form to answer and in the fraction form it would be

6/5 or in a mixed number fraction 1 1/5

So 1 1/5 is your answer

Please mark me as branliest

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

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

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

[tex] = > 16[/tex]

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]

Answer:

1/4 · x⁴

Step-by-step explanation:

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:

0.9m²

Step-by-step explanation:

Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:

Find the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:

Subtract the two area:

289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²

Answer:

Step-by-step explanation:

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

Answer:

800

Step-by-step explanation:

Hope this helps

Answer:

800, if it's higher than 50 you can round it to the next hundred