If (2,4) lies in the graph of y=f(x), what point must lie on y=f(x+5)

Answers

Answer 1
Answer:

Answer:

y = f(x + 5) is y = f(x) shifted 5 units to the left.

So if (2, 4) is in the graph of f(x), then (2, -1) is in the graph of y = f(x + 5).


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Write an explicit formula for the sequence 10,9.5,9,8.5,8 then find a8

Answers

an=a1+d(n-1)
a1=first term
d=common differnce
n=which term

minusing 0.5 each time
first term is 10

an=10-0.5(n-1)
8th term
a8=10-0.5(8-1)
a8=10-0.5(7)
a8=10-3.5
a8=6.5

the 8th term or a8 is 6.5
a_(n) = a_(1) + (n-1)d
a_8 = 10 + (8-1)(-0.5) a_8 = 10 + (7)(-0.5) a_8 = 10 + -3.5 a_8 = 6.5

What is the value of the expression 2z + 2w when z=7 and w=5

Answers

Answer:

The solution is 24

Step-by-step explanation:

z = 7

w = 5

2z + 2w

we enter the numbers

2(7) + 2(5)

= 14 + 10

= 24

Choose the correct name for these sets of numbers.

Answers

Answer:

first one is rational numbers and the secound one is inrational nunbers

Step-by-step explanation:

Answer:

2. Rational numbers

3. Irrational numbers

Step-by-step explanation:

Kitchen chairs are purchased wholesale for $36 by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale?

Answers

As a result of the sale, two chairs can be purchased at the discounted price of $92.16.

After the store bought the chairs for $36, they gave it a markup of 60%. The new price is:

= Cost of chair + Markup

= 36 + (60% x 36)

= $57.60

They then reduced this price by 20%:

= Marked up price - Discount

= 57.60 - (20% x 57.60)

= $46.08

Two chairs are to be bought:

= 46.08 x 2

= $92.16

In conclusion, two chairs would cost $92.16

Find out more at brainly.com/question/18410539.

starts at 36....marks up by 60%
36 + 0.60(36) = 36 + 21.60 = 57.60
now they mark it down by 20%
57.60 - 0.20(57.60) = 57.60 - 11.52 = 46.08

46.08 * 2 = 92.16

Write en rquation for the line passing through point (3,3) and parallel to the line whose equation is y=-(1)/(6)x+7

Answers

Answer:

y = - (1)/(6) x + (7)/(2)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the line with equation

y = - (1)/(6) x + 7 ← in slope- intercept form

with slope m = - (1)/(6)

Parallel lines have equal slopes , then

y = - (1)/(6) x + c ← is the partial equation of the parallel line

to find c, substitute the point (3, 3 )  for x/ y into the partial equation

3 = - (1)/(6) (3) + c = - (1)/(2) + c ( add(1)/(2) to both sides )

(6)/(2) + (1)/(2) = c , that is

c = (7)/(2)

y = - (1)/(6) x + (7)/(2)equation of parallel line

Final answer:

The equation of the line passing through point (3,3) and parallel to y = -(1/6)x + 7 is y = -(1/6)x + 3.5, which is achieved by knowing that parallel lines have the same slope and substituting the coordinates of the given point into the y = mx + b (slope-intercept form) and solving for the y-intercept 'b'.

Explanation:

The question asks for an equation of a line that is parallel to the equation y = -(1/6)x + 7 and also passes through the point (3,3). First, it's significant to understand that parallel lines share the same slope. Looking at the equation y = -(1/6)x + 7, we can see that the slope, or 'm' value, is -1/6. Therefore, the slope of our new line will also be -1/6. The conventional form of the equation for a line is y = mx + b where m is the slope and b is the y-intercept. Since we know the slope and have a point that lies on the line, we can substitute these values into this formula to solve for 'b'.

Here's how we do it:

First, substitute the point's coordinates into the equation for the line: 3 = (-1/6)*3 + b

This simplifies to: 3 = -1/2 + b

Then solving for 'b', we get: b = 3 + 1/2 = 3.5

Therefore, the equation of our new line that is parallel to the original line and passes through the point (3,3) is y = -(1/6)x + 3.5.

Learn more about Equation of a parallel line here:

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What is a 2 digit number, less than 50 that can be divided by 4 exactly and when 4 is added to it it can be divided by 5 exactly

Answers

ok

divisible by 4 exactly measn that it is even
ends with 0,2,4,6,8

when you add 4 it divides by 5, if it is divisble by 5 it ends with 0 or 5
the possible numbers under 50 that are divisble by 5 are
5,10,15,20,25,30,35,40,45

if you add 4 to the mystery number, you get divisible by 5
minus 4 from all of that list and see which s divisible by 4
1,6,11,16,21,26,31,36,41


the number could be 16 or 36