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MArishka [77]
3 years ago
14

Write an equation of the line with a slope of −3 and y-intercept of 0.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0

Answer:

y = -3x

Step-by-step explanation:

Substitute the numbers into the point-slope form equation:

y - 0 = -3(x - 0)

y = -3x

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Find the area of this figure.
ryzh [129]

Answer:

1824 square inches

Step-by-step explanation:

First, separate the figure into two sections. The triangle on top, and the rectangle on the bottom.

to get the area of the triangle, simply multiply height times width and divide by two.

48 x 12 = 576

576/2 = 288

the area of the triangle is 288 sq in

next, multiply the height and width of the rectangle to get its area.

32 x 48 = 1536

add 1536 to 288 to get the area of the complete figure

1536 + 288 = 1824

the answer is 1824 square inches

7 0
3 years ago
A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] H
lapo4ka [179]

Answer: 8

Step-by-step explanation:

Given: A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles.

Total marbles other than green = 8

Total marbles other than green and yellow = 6

Then the number of sets of seven marbles include at least one yellow one but no green ones:-

^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8

Number of sets of seven marbles include at least one yellow one but no green ones = 8

3 0
4 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
nydimaria [60]

Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by  x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68  

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

PLS MARK BRAINLIEST THIS TOOK A LOT OF TIME

7 0
3 years ago
Can help my little bro
lisabon 2012 [21]

Answer:

$0.03

Step-by-step explanation:

chips: 7.84/16=0.49

pretzels: 12.48/24=0.52

0.52=0.49=0.03

7 0
3 years ago
Simplity (4^-2)^5<br> A.1/4^10<br> B. 4^3<br> C.1/4^3<br> D. 4^10
Goshia [24]

Answer:

(4^{-2})^5=\dfrac{1}{4^{10}}

Step-by-step explanation:

The given expression is : (4^{-2})^5

We need to simplify the above expression.

We know that, x^{-a}=\dfrac{1}{x^a}

or

(4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}

So, the simplified form of the given expression is \dfrac{1}{4^{10}}. Hence, the correct option is (A).

5 0
3 years ago
Read 2 more answers
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