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timofeeve [1]
2 years ago
12

Attached please find my maths problem to be solved and graphed

Mathematics
1 answer:
ki77a [65]2 years ago
8 0

Answer:

Attached is the sketch

X-axis intersections:

(-3,0)

(0,0)

(1,0)

Points of inflection:

(-1,319,-2.881) Concave upward

(0.569,1.041) Concave downward

Step-by-step explanation:

Desmos (I'm not allowed to post the link, pls search it up) is a great help for these type of problems!

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Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &4 more than Angela's savi
statuscvo [17]

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = \frac{1}{3}A + 8, that is, <em>one-third of Angela's savings + $8 will give us Eli's savings</em>

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that <em>if $10 is added to both their savings, Eli will still have $4 more than Angela.</em>

So, we can solve both equations;

Equation 1: E = \frac{1}{3}A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to <u>eliminate the E:</u> Subtract equation 1 from equation 2, so that;

A + 4 - ( \frac{1}{3}A + 8) = E - E

\frac{2}{3}A - 4 = 0

\frac{2}{3}A = 4

A = 4 × \frac{3}{2} = 6

So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10

So, Eli has saved $10, while Angela has saved $6.

If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.

3 0
3 years ago
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What is the center of the equation (x+12)^2 + (y-9)^2= 35
Reil [10]

Answer:

(-12,9)

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point on the graph.

Therefore, in the equation (x+12)^2 + (y-9)^2 = 35, the center point on the graph would be (-12,9).

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The total front footage of all three lots is 370.
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3 years ago
Wha is the name of the line that you use to define a parabola?
Basile [38]

Answer is:

Directrix - D.

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What inergers that are greater than zero
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Half of all the integers are ... all of the positive "counting numbers".

The total number is infinite, so I can't list them here.  But if you start at '1 '
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