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3 years ago

Can someone help me solve this please?

Mathematics

1 answer:

mr_godi [17]3 years ago

8 0

First divide the total cost by 21. when you get the answer multiply the cost of 1 apple by 8. bam. answer.

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

How does this work?????

ankoles [38]

Answer:

x = 4 $\sqrt{5}$

Step-by-step explanation:

Since the triangle is right, solve for x using Pythagoras' identity, that is

x² = 8² + 4² = 64 + 16 = 80

Take the square root of both sides

x = $\sqrt{80}$ = $\sqrt{16(5)}$ = $\sqrt{16}$ × $\sqrt{5}$ = 4 $\sqrt{5}$ ← exact value

3 0

3 years ago

Help me find the slope

Alex Ar [27]

M= -6/5
hope this helped!!

4 0

3 years ago

What is a formula for the nth term of the given sequence? 20,50, 125...

loris [4]

Answer:

a(n) = 20*2.5^(n - 1)

Step-by-step explanation:

Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50. Thus the common factor is 2.5. The formula for the nth term is

a(n) = a(1)*r^(n - 1) => a(n) = 20*2.5^(n - 1)

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3 years ago

By law, all businesses outside the Parkville city limits must fence their lots. How many inches of fence will be needed to fence

noname [10]

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3 years ago