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2 years ago

Write an equation for the line that connects A (-4,8) and B (6,3)

Mathematics

1 answer:

Mazyrski [523]2 years ago

4 0

Answer:

7y+5x=76

Step-by-step explan

A (-4,8) and B (6,3)

First find the slope;

m= (y2-y1)/(x2-x1)

m=(3-8)/(3+4)

m=-5/7

now using equation of line

y-y1= m(x-x1)

y-8=-5/7 (x+4)

y-8=(-5x+20)/7

7(y-8)= -5x+20

7y-56=-5x+20

7y+5x=20+56

7y+5x=76

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Write an inequality that best matches this description

Citrus2011 [14]

Answer:

$x \geq 3(y + z)$

Step-by-step explanation:

I am going to say that:

Mary's amount is x.

Ashley's amount is y.

Oscar's amount is z.

Mary has at least 3 times the amount of cash that ashley and oscar have combined

Ashley's and Oscar's combined amount is y + z.

3 times this amount is 3(y + z).

At least 3 times means that z is equal or greater than 3(y + z).

$x \geq 3(y + z)$

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2 years ago

What is the value of x in the equation −x = 4 − 3x + 6? A. 5 B. 10 C. −5 D. −10

Ann [662]

$-x = 4-3x+6$

Refine $4-3x + 6$

$-3x = 4+6$

$-3x = 10$

Add $3x$ to both sides:

$-x + 3x = -3x + 10 + 3x$

$2x = 10$

Divide both sides by 2 :

$\frac{2x}{2} = \frac{10}{5}$

$x = 5$

Answer a

hope this helps!

8 0

3 years ago

Read 2 more answers

If x – 10 is a factor of x2 – 8x – 20, what is the other factor?

kkurt [141]

Answer:

Step-by-step explanation:

x²-8x-20

=x²-10x+2x-20

=x(x-10)+2(x-10)

=(x-10)(x+2)

second factor is x+2

5 0

3 years ago

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A geometric sequence is defined by the general term tn = 75(5n), where n ∈N and n ≥ 1. What is the recursive formula of the sequ

andreyandreev [35.5K]

The correct answer is C) t₁ = 375, $t_n=5t_{n-1}$ .

From the general form,
$t_n=75(5)^n$ , we must work backward to find t₁.

The general form is derived from the explicit form, which is
$t_n=t_1(r)^{n-1}$ . We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us

$t_n=t_1(5)^{n-1}$

Using the products of exponents, we can "split up" the exponent:
$t_n=t_1(5)^n(5)^{-1}$

We know that 5⁻¹ = 1/5, so this gives us
$t_n=t_1(\frac{1}{5})(5)^n
\\
\\=\frac{t_1}{5}(5)^n$

Comparing this to our general form, we see that
$\frac{t_1}{5}=75$

Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375

The recursive formula for a geometric sequence is given by
$t_n=t_{n-1}(r)$ , while we must state what t₁ is; this gives us

$t_1=375; t_n=t_{n-1}(5)$

3 0

3 years ago

Find the value of x.

loris [4]

Answer:

4.5

Step-by-step explanation:

4x+6 = 6x-3

3+6 = 6x-4x

9 = 2x

X =4.5

8 0

2 years ago

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