All categories

2 years ago

Which equation represents the line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis.?

Mathematics

1 answer:

asambeis [7]2 years ago

7 0

Answer:

We want a line that passes through the point (4, 7/2)

and we have no other information of this line, so we can not fully find it, but we can find a general line.

We know that a line can be written as:

y = a*x + b.

Now we want that, when x = 4, we must have y = 7/2.

7/2 = a*4 + b

b = -a*4 + 7/2

Then we can write this line as:

y = a*x - a*4 + 7/2.

Where a can take any value, and it is the slope of our line.

You might be interested in

Which system of equations below has no solution? A. y = 4x + 5 and y = 4x – 5 B. y = 4x + 5 and 2y = 8x + 10 C. y = 4x + 5 and y

Stels [109]

Answer: A y=4x -5 and y=4x+5

Step-by-step explanation:

They have no solutions because they have the same slopes but different y intercepts. That works with any equation.

8 0

2 years ago

The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the united states from birth to

Andru [333]

Answer:

The correct option is A). $112295.05

Step-by-step explanation:

The equation for approximating the total cost is given to be :

y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years

We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211

So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost

⇒ Total cost , y = 1.55 × 1211 + 110419

⇒ y = 1877.05 + 110419

⇒ y = 112296.05 ≈ 112295.05

Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05

Therefore, The correct option is A). $112295.05

8 0

1 year ago

5 Adoncia makes a scale drawing of the front of

Molodets [167]

Answer:

Since the length of the drawing is 200 ft. and equivalent to 13.33 in. with a scale of 15 ft to 1 in. and the length of the paper is 11 in., Adoncia's drawing will not fit on the sheet of paper

Step-by-step explanation:

The given parameters are;

The scale of the drawing is 15 ft = 1 in.

The actual dimensions of the monument;

Height = 80 ft.

Length = 200 ft.

Therefore, we have;

The required dimension of the paper height = 80/15 = 16/3 = 5.33 in.

The required dimension of the paper length = 200/15 = 40/3 = 13.33 in.

The given paper dimension by 11 in. which is of a dimension of that of a standard letter paper size of 8.5 in. by 11 in.

Drawing length, 13.33 in. > Paper length > 11 in.

Adoncia's drawing will not fit on the sheet of paper.

4 0

2 years ago

Write an equation for the 4th degree polynomial graphed below. Use k if your leading coefficient is positive and −k if your lead

Afina-wow [57]

Ho ho ho, lets get this party started
ok so I'm just really excited to use this stuff that I just learned

so

multiplicites
if a root or zero has an even multilicity, the graph bounces on that root
if the root or zero has an odd multiplicty, the graph goes through that root

so
roots are
-1
2
4
multiplicty is how many times it repeats
2 has even multiplity
we just do 2 is odd and 1 is even so
for roots, r1 and r2, the facotrs would be
(x-r1)(x-r2)
so
(x-(-1))^1(x-2)^2(x-4)
(x+1)(x-2)^2(x-4)
this is a 4th degre equaton
normally, it is goig from top right to top left
it is upside down
theefor it has negative leading coefient

y=-k(x+1)(x-4)(x-2)^2

8 0

1 year ago

Read 2 more answers

Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without a remainder. Find the great

Y_Kistochka [10]

Answer:

56 cm

Step-by-step explanation:

We need ro find the GCD of these numbers. In finding the GCD, we list the multiples of the number, beginning with the smallest number. Here, the

The factors of 616=2*2*2*7*11

The factors of 448 =2*2*2*2*2*2*7

Common factors in both are 2*2*2*7=56

Therefore, the greatest possible length is 56 cm

6 0

2 years ago