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2 years ago

How do you graph y= -7x-1? Show the coordinates and graph.

Mathematics

2 answers:

aliya0001 [1]2 years ago

6 0

Answer:

You start at -1 because its your y-intercept and from there you go 7 down and 1 to the right

Step-by-step explanation:

AlladinOne [14]2 years ago

6 0

You will start at -1 on the y axis and then go down 7 and right 1 so you’ll end up at (1,-8)

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At the movie theatre, child admission is $6.30 and adult admission is $9.90 . On Monday, 159 tickets were sold for a total sales

frez [133]

C = child tickets
a = adult tickets

Solve this with the substitution method.
Make two equations:

6.30c + 9.90a = 1,246.50
c + a = 159

Solve for c.
Subtract 9.90a from both sides.

6.30c = 1,246.50 - 9.90a
Divide both sides by 6.30.

c = 197.86 - 1.57a (rounded to hundredths)
Plug c into second equation.

197.86 - 1.57a + a = 159
Combine like terms.

197.86 - 0.57a = 159
Subtract 197.86 from both sides.

-0.57a = -38.86
Divide both sides by -0.57.

a = 68.18
round up to ones: 68

 $\boxed {68~adult~tickets}$ were sold.

8 0

3 years ago

A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is

IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

${w}^{2} + {42}^{2} = {62}^{2}$

${w}^{2} = {62}^{2} - {42}^{2}$

${w}^{2} = 2080$

${w} = \sqrt{2080}$

$w = 4 \sqrt{130}$

The width of the painting is 45.6cm to the nearest tenth.

4 0

3 years ago

Prove the identity. cosx sin (x+y) - sinx cos(x+y) = siny

Jet001 [13]

Answer:

In the explanation

Step-by-step explanation:

Going to start with the sum identities

sin(x+y)=sin(x)cos(y)+sin(y)cos(x)

cos(x+y)=cos(x)cos(y)-sin(x)sin(y)

sin(x)cos(x+y)=sin(x)cos(x)cos(y)-sin(x)sin(x)sin(y)

cos(x)sin(x+y)=cos(x)sin(x)cos(y)+cos(x)sin(y)cos(x)

Now we are going to take the line there and subtract the line before it from it.

I do also notice that column 1 have cos(y)cos(x)sin(x) in common while column 2 has sin(y) in common.

cos(x)sin(x+y)-sin(x)cos(x+y)

=0+sin(y)[cos^2(x)+sin^2(x)]

=sin(y)(1)

=sin(y)

6 0

2 years ago

Factorize: Challenge problem: x^2+19x+78 help :)

Trava [24]

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

3 0

2 years ago

Read 2 more answers

Learn with an example

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

Because dividing any term by the previous term gives a constant this is a geometric sequence of the form an=y^(n-1). Since each term is four times the previous term y=4 so

an=4^(n-1)

8 0

2 years ago