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3 years ago

Help me please I don’t have much time

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

Step-by-step explanation:

Where d is the difference

$a_{n}$ = $a_{1}$ + (n - 1) d

$a_{n}$ = $a_{1}$ + (n - 1) 7

(Because 8 - 1 is 7)

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Based on its degree, what kind of polynomial is this?<br> h(x) = 4x^4 + 2x - 5

cestrela7 [59]

Answer:

Quartic

Step-by-step explanation:

Given

$h(x) = 4x^4 + 2x - 5$

Required

Name the polynomial

The question required that the polynomial be named based on its degree.

This implies that, we name the polynomial based on the highest power of x

Highest power of x = 4

When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.

Hence, by degree; the polynomial is quartic

5 0

3 years ago

Use implicit differentiation to find the points where the parabola defined by x2−2xy+y2+4x−8y+20=0 has horizontal and vertical t

Komok [63]

Answer:

The parabola has a horizontal tangent line at the point (2,4)

The parabola has a vertical tangent line at the point (1,5)

Step-by-step explanation:

Ir order to perform the implicit differentiation, you have to differentiate with respect to x. Then, you have to use the conditions for horizontal and vertical tangent lines.

-To obtain horizontal tangent lines, the condition is:

$\frac{dy}{dx}=0$ (The slope is zero)

--To obtain vertical tangent lines, the condition is:

$\frac{dy}{dx}=\frac{1}{0}$ (The slope is undefined, therefore the denominator is set to zero)

Derivating respect to x:

$\frac{d(x^{2}-2xy+y^{2}+4x-8y+20)}{dx} = \frac{d(x^{2})}{dx}-2\frac{d(xy)}{dx}+\frac{d(y^{2})}{dx}+4\frac{dx}{dx}-8\frac{dy}{dx}+\frac{d(20)}{dx}$ = $2x -2(y+x\frac{dy}{dx})+2y\frac{dy}{dx}+4-8\frac{dy}{dx}= 0$

Solving for dy/dx:

$\frac{dy}{dx}(-2x+2y-8)=-2x+2y-4\\\frac{dy}{dx}=\frac{2y-2x-4}{2y-2x-8}$

Applying the first conditon (slope is zero)

$\frac{2y-2x-4}{2y-2x-8}=0\\2y-2x-4=0$

Solving for y (Adding 2x+4, dividing by 2)

y=x+2 (I)

Replacing (I) in the given equation:

$x^{2}-2x(x+2)+(x+2)^{2}+4x-8(x+2)+20=0\\x^{2}-2x^{2}-4x+x^{2} +4x+4+4x-8x-16+20=0\\-4x+8=0\\x=2$

Replacing it in (I)

y=(2)+2

y=4

Therefore, the parabola has a horizontal tangent line at the point (2,4)

Applying the second condition (slope is undefined where denominator is zero)

2y-2x-8=0

Adding 2x+8 both sides and dividing by 2:

y=x+4(II)

Replacing (II) in the given equation:

$x^{2}-2x(x+4)+(x+4)^{2}+4x-8(x+4)+20=0\\x^{2}-2x^{2}-8x+x^{2}+8x+16+4x-8x-32+20=0\\-4x+4=0\\x=1$

Replacing it in (II)

y=1+4

y=5

The parabola has vertical tangent lines at the point (1,5)

4 0

3 years ago

a shoes store in philadelphia pays 28.75 for a pair of shoes. the store marks the item up 35%. the local sales tax is 8%. how mu

ElenaW [278]

Answer:

$41.11

Step-by-step explanation:

28.75 + (28.75 x 0.35) + (28.75 x 0.08)

Please mark brainliest and have a nice day

Full answer is 41.1125

3 0

3 years ago

How many solutions does this have -3x+3y=12

Sonja [21]

The answer is:
x=-4+y

5 0

3 years ago

Read 2 more answers

Krystal’s poster project for reading class is 2 feet high and 1 1 2 feet wide. Her friend Victoria’s poster is 4 feet high and 1

Bess [88]

The area of Victoria's poster is twice the area of Krystal's poster.

<h3>How compare the areas of two similar posters</h3>

The two areas are shown in the image attached below. Each poster represents a rectangle and the ratio between the two areas ( $r_{A}$ ), no unit, is defined by the following formula: