Which equation has a contant of proportionality equal to 1/2

Answer:

6, 10, 8

Step-by-step explanation:

aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4

a₅= -2

a₆= 0

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aₙ₋₂= aₙ₋₁ - aₙ + 4

The first 3 terms: 6, 10 and 8

Answer:

the correct one is y < 2x

Step-by-step explanation:

Answer:

y  2x + 1 or B

Step-by-step explanation:

thats whats right on edge

Answer:

10

Step-by-step explanation:

( 2 + 3 ) × 2

5 × 2 = 10

Answer:

10

Step-by-step explanation:

(a+b)2

(2+3)2

5(2)

10

Answer:

Yes, it is true that [tex]x^2+3x-1[/tex]  is a factor of [tex]x^4+3x^3-2x^2-3x+1[/tex].

Step-by-step explanation:

Let us try to factorize [tex]x^4+3x^3-2x^2-3x+1[/tex]

[tex]x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3[/tex]

Let us try to make a whole square of the given terms:

[tex]\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\[/tex]

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Formula used above:

[tex]a^{2} -2 \times a \times b +b^{2} = (a-b)^2[/tex]

In the above equation, we had [tex]a = x, b = 1[/tex].

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Further solving the above equation, taking [tex]3x[/tex] common out of [tex]3x^3-3x[/tex]

[tex]\Rightarrow (x^2-1)^2+3x(x^2-1)\\[/tex]

Taking [tex](x^{2} -1)[/tex] common out of the above term:

[tex]\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)[/tex]

So, the two factors are [tex](x^2-1)\ and\ (x^2+3x-1)[/tex].

[tex]\therefore[/tex] The statement that [tex]x^2+3x-1[/tex]  is a factor of [tex]x^4+3x^3-2x^2-3x+1[/tex] is True.

Answer:

25 units

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Our points: (0, 0) and (7, -24)

[tex]d = \sqrt{7^2+(-24)^2}[/tex]

d = √(49+576)

d = √625

d = 25

Answer:

25

Step-by-step explanation:

You can also use the pythagorean theorem.

From  (0, 0) to (7, -24), one of the side lengths of the triangle is 24, and the other is 7.

Now we can use the pythagorean theorem with these numbers

[tex]7^2 +24^2=x^2[/tex], and now we can solve these squares to get

[tex]49+576=x^2\\625=x^2\\\sqrt{625} = x\\[/tex], So x = 25

Answer:

$2,800 and $6,400

Step-by-step explanation:

Aquí, sabemos que hay un 20% de descuento en compras.

Entonces, para una persona que compró cosas por valor de $ 3,500, el monto que debe pagar será; 20/100 * 3500 = $ 700

Entonces, la cantidad a pagar = 3500-700 = $ 2,800

Para la persona que compró $ 8000, monto a pagar = 20/100 * 8,000 = $ 1,600

Cantidad a pagar = 8000-1600 = 6400

Answer:

1,1 or -1,3

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

bottom right quadrant is IV

Answer: [tex]y \leq \frac{1}{2} x+3[/tex]

Step-by-step explanation:

If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.

First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.

You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.

3 - 1 = 2

0 - (-4) = 4

2/4 = 1/2

The new equation is:

[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]

Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]

Answer:

B

Step-by-step explanation:

Answer:

The value of x is -2√2 or 2√2.

Step-by-step explanation:

Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :

[tex]y = \frac{k}{ {x}^{2} } [/tex]

[tex]let \: x = 7 \\ let \: y = 3[/tex]

[tex]3 = \frac{k}{ {7}^{2} } [/tex]

[tex]3 = \frac{k}{49} [/tex]

[tex]3 \times 49 = k[/tex]

[tex]k = 147[/tex]

[tex]y = \frac{147}{ {x}^{2} } [/tex]

Next, you have to substitute the y value into the equation to find x :

[tex]let \: y = 18.375[/tex]

[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]

[tex]18.375 {x}^{2} = 147[/tex]

[tex] {x}^{2} = \frac{147}{18.375} [/tex]

[tex] {x}^{2} = 8[/tex]

[tex]x = ± \sqrt{8} [/tex]

[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]

Answer:

12 cups

Step-by-step explanation:

there are 4 cups in 1 quart.  You multiply both of them by 3 so there are 12 cups in 3 quarts

Answer:

12 cups

Step-by-step explanation:

1 quart = 4 cups

4*3 = 12

12 cups

brainliest??

Answer:

Equation of a line y = mx + c

m = slope

m = 2

Using point ( -4,3)

Equation of the line is

y - 3 = 2(x +4)

y - 3 = 2x + 8

y = 2x + 8 + 3

y = 2x + 11

Hope this helps.

Answer:

B. Y = 2x + 11

Step-by-step explanation:

Got it right on edg.

Answer:

The perimeter of the playground is 65 metres

Step-by-step explanation:

Questions like this requires attachment; See attachment for diagram.

From the diagram, we have the following parameters

[tex]Length = 2cm[/tex]

[tex]Width = 4.5cm[/tex]

Required

Calculate the parameter of the actual diagram

First, the actual length and width has to be calculated;

Given that the scale drawing is 1:500

[tex]Actual\ Length = 500 * 2cm = 1000cm[/tex]

[tex]Actual\ Width = 500 * 4.5cm = 2250cm[/tex]

Now, the perimeter can be calculated;

[tex]Perimeter\ of\ a\ Rectangle = 2(Length + Width)[/tex]

[tex]Perimeter = 2(1000cm + 2250cm)[/tex]

[tex]Perimeter = 2(3250cm)[/tex]

[tex]Perimeter = 6500cm[/tex]

However, the question requires answer to be in meters

If 100 cm = 1 m, then

[tex]6500cm = \frac{6500m}{100}[/tex]

[tex]6500cm = 65m[/tex]

Hence, the perimeter of the playground is 65 metres

Answer:

5. 2 terms; 3xy, 2

6. 3

7. 0, can't be factored

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

9+9+9+9=36

Answer: 36 cm

Step-by-step explanation:

The perimeter is the sum of all side lengths of the figure. Since this is a square, all sides have the same length.

9 * 4 = 36

Answer:

12x^2 - 8xy + y^2 + 12x - 2y

Step-by-step explanation:

Answer:

3234

4312

5390

Step-by-step explanation:

3x +4x + 5x = 12936

12x = 12936

Last option is the correct answer

Answer:

ASA Postulate

Step-by-step explanation:

[tex] In\: \triangle TKS\: \& \: \triangle TLR\\

\angle 1 \cong \angle 2....(given) \\

TK \cong TL... (given) \\

\angle 3 \cong \angle 4....(given) \\

\therefore \triangle TKS\: \cong \: \triangle TLR.. (ASA \: Postulate) \\[/tex]

Answer:

First option is the correct choice.

Step-by-step explanation:

AAS theorem applies here to prove the claim.

Best Regards!

x3+3x2−4

________

9x4−12x2

Algebra isn't fun. Hope that helps though!

Answer:

first we will check if the coordinate (5,4) is a solution:

you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:

y-4 = 7(5-6)

now we have to work this out like:

y-4 = 7 • -1

y -4 = -7

y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.

the same goes for coordinate (6,5):

y-4 = 7 (6-6)

y-4 = 0

y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.

so the answer is neither

Answer:

Neither

Step-by-step explanation:

Simplify the given equation.

y - 4 = 7(x - 6)

y - 4 = 7x - 42

y = 7x - 38

Now, take the point (5, 4) and test to see if this is a solution.

y = 7x - 38

4 = 7(5) - 38

4 = 35 - 38

4 ≠ -3

Since that point did not prove to be true, answer choices A and C are cancelled out.  Take point (6, 5) and test it.

y = 7x - 38

5 = 7(6) - 38

5 = 42 - 38

5 ≠ 4

Neither points provide a solution so D is the answer.

Answer:

3.7168917E-7

Step-by-step explanation:

Answer:

3.7168917E-7

Step-by-step explanation:

Answer 15c3d−7c2d2

Step-by-step explanation:

Answer:

21 quarters, 6 dimes, and 11 nickels

Step-by-step explanation:

# of Quarters = x.

# of Dimes = y.

# of Nickels = z.

(i)x = 3y+3.

(ii) 0.25x + 0.1y + 0.05z = 6.4

(iii) x + y + z = 38.

Multiplying (iii) by -0.05, and adding it to (ii),

we then get:

0.2x + 0.05y = 4.5.

Now plug in (i) into this.

0.65y + 0.6 = 4.5.

0.65y = 3.9

y = 6.

Since y = 6, we can subsitute this into our equation.

0.2x + 0.3 = 4.5

0.2x = 4.2

x = 21.

Since x = 21, y =6, then z = 11.

Answer:

(x+1)(x-3)

Step-by-step explanation:

We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.

Answer:

(x+1) (x-3)

Step-by-step explanation:

(x+1)=0

x=-1

(x-3)=0

x=3

solutions are (-1, 3) we put -1 first because x always comes before Y value.

Please mark me as brainliest. I need to rank up.

Answer:

Loss %age = 25%

Step-by-step explanation:

Cost Price of Item = 250,000/-

Loss = 1/4 = 0.25 of 250,000

=> 62,500 /-

%age Loss = [tex]Loss*100/Cost Price[/tex]

=> 62,500 * 100 / 250,000

=> 6,250,000/250,000

=> 25 %

Answer:

The wheel completed a total of 212 turns.

Step-by-step explanation:

A wheel has a circular form, therefore its length is given by the following formula:

[tex]length = 2*\pi*radius[/tex]

Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:

[tex]length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124[/tex]

Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:

[tex]turns = \frac{1000}{4.7124} = 212.21[/tex]

The wheel completed a total of 212 turns.

Answer:

Salutations!

The slope is (2)

And the y-intercept is (-5)

Hope you're having a good day, and may god bless :)

Slope of the given inequality is 2 and the y-intercept of the given inequality is (0, - 5).

"An inequality is the relationship between two values that are not equal is defined by inequalities. Inequality means not equal."

The given inequality is:

y > 2x - 5

By plotting this inequality, we get:

Slope of the given inequality is 2.

The y-intercept of the given inequality is (0, - 5)

Learn more about an inequality here: https://brainly.com/question/20708985

#SPJ3

Answer:

a: -3n+1

b:-5n-2

Step-by-step explanation:

a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)

b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.

Hope this helps :),

Lily

Answer:

Christian made $191.25 and Kenneth made $127.50 each.

Step-by-step explanation:

With each dog, you multiply how many dogs with the amount of cash they get each dog.

Christian: 15x12.75= $191.25

Kenneth: 10x12.75= $127.50

So you just multiply the amount of dogs with money :)

Answer:

The length is 40 units.

Step-by-step explanation:

You need to use a triangle for the base then use the hypotenuse of the base as the base of the diagonal shown in the prism.

[tex]0.5*8*2=\\4*2=\\16[/tex]

The hypotenuse of the triangle of the base is 16.

[tex]0.5*16*5=\\8*5=\\40[/tex]

The diagonal shown in the prism is 40 units.