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Dvinal [7]
2 years ago
6

Which set of equations would have infinitely many solutions? JUSTIFY your answer in #4.

Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

Answer:

2nd option: 2y=6x+8 and y=3x+4

Step-by-step explanation:

If you divide the first by 2, you get the second equation.

This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.

In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.

Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation

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Can anyone help me with this page i can’t find the answers
Dvinal [7]

1) f(x)=2x

when x=3 then f(x) =3×2=<em><u>6</u></em>

when x=4 then f(x)=4×2=<em><u>8</u></em>

2)At y=35(no. of mangoes),x corresponds to y=60(amount)

so$<em><u>6</u></em><em><u>0</u></em><em><u>,</u></em><em><u> </u></em><em><u>amount</u></em><em><u> </u></em><em><u>he</u></em><em><u> </u></em><em><u>need</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>spend</u></em><em><u>!</u></em>

3) f(x)= x+2

for x=1, f(x)=1+2=<em><u>3</u></em>

for x=2,f(x)=2+2=<em><u>4</u></em>

✌️:)

8 0
3 years ago
Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com
DIA [1.3K]

The total amount is $ 1015.82 and interest amount is $ 165.82

<em><u>Solution:</u></em>

<em><u>The formula for amount when interest is compounded annually is:</u></em>

\mathrm{A}=P\left(1+r}\right)^{n}

Where,

"A" is the total amount

"P" is the principal

"r" is the rate of interest in decimal form

"n" is the number of years

<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>

P = 850

t = 9 years

r = 2 \% = \frac{2}{100} = 0.02

<em><u>Substituting the given values we get,</u></em>

A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82

Thus total amount is $ 1015.82

Interest amount = Total amount - principal

Interest amount = 1015.82 - 850

Interest amount = 165.82

Thus total amount earned is $ 1015.82 and interest amount is $ 165.82

7 0
3 years ago
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is
trapecia [35]

Answer:4

Step-by-step explanation:What +7=11 bause the () make a multiplication and 11x3=33

4 0
3 years ago
Read 2 more answers
Find the vertical, horizontal, and slant asymptotes, if any for y=x^3/ (x-2)^4
VashaNatasha [74]
This has both a horizontal and a vertical asymptote.  There are no slant (oblique) asymptotes cuz the degree of the numerator is not higher than that of the denominator.  If the degree of the numerator is less than the degree of the denominator, which is our case here, then the horizontal asymptote is 0.  But we also have a vertical asymptote, which occurs where the denominator = 0.  We all know that we break every rule known to mankind if we try to divide by 0, so there also a vertical asymptote at x = 2.
7 0
3 years ago
Expand the Bionomial<br> (x+4)^4
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(x + 4)^4 = x^4 + 16x^3 + 96x^2 + 256x + 256

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3 years ago
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