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2 years ago

What is the slope of -y=-x+6

Mathematics

1 answer:

Katarina [22]2 years ago

4 0

Answer:

m = 1
b = -6

Step-by-step explanation:

We know that:

-y = -x + 6
y = mx + b

First, we need to change the 'y' sign.

=> -y = -x + 6
=> y = x - 6

Now, let's compare both of the equations to find slope.

=> (y = x - 6) = (y = mx + b)

We can see that the slope is 1 and the y-intercept is -6.

Conclusion:

Therefore:

m = 1
b = -6

Hoped this helped.

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Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7

Liono4ka [1.6K]

Answer:

Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=51000 (1)

0.04x+0.07y=2370 (2), where

x is the portion earning a simple interest rate of 4 percent per year

y is the portion earning a simple interest rate of 7 percent per year

First, you can isolate x in (1):

x=51000-y (3)

Now, you can replace (3) in (2) and solve for y:

0.04(51000-y)+0.07y=2370

2040-0.04y+0.07y=2370

0.03y=330

y=330/0.03

y=11000

Then, you can replace the value of y in (3) to find the value of x:

x=51000-11000

x=40000

According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

3 0

3 years ago

1 ten and 15 ones in word

wolverine [178]

25 in total what do you mean

4 0

3 years ago

What is the narrowest definition of the number -6?

Free_Kalibri [48]

The exact opposite of positive 6 is the ansewer

8 0

3 years ago

If you could answer both, thank you but 1 would be fine

professor190 [17]

Answer:

96-28 68

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the volume of the following triangular prism?

Eva8 [605]

Answer:

$V=150cm^3$

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the formula:

$A_T=\frac{bh}{2}$

where b is the base: $b=4cm$ and h is the height: $h=5cm$

thus, in this case we have:

$A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2$

And now, the volume will be the area of the triangle multiplied by the length $l=15cm$ of the prism:

$V=A_T*l$

Substituting the known values:

$V=10cm^2*15cm\\V=150cm^3$

The volume in cubic centimeters is 150.

4 0

3 years ago