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2 years ago

Arti is mixing some orange paint for the class mural.

Mathematics

1 answer:

vitfil [10]2 years ago

6 0

Answer:

Step-by-step explanation:

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Solve the inequality for x, assuming that a, b, and c are positive constants.

Fynjy0 [20]

A(bx − c) ≥ bc, implies (bx − c) ≥ bc /a and then bx ≥ bc/a + c, x<span>≥ c/a +c/b
so the solution is </span><span>3. [c/a + c/b, infinity)</span>

4 0

2 years ago

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point $(x_1,y_1)$ and end point $(x_2,y_2)$ in the ratio m:n, we use the formula

$Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )$

$(x_1,y_1)=(2, -1)$ , $(x_2,y_2)=?$ , Q(x,y)=(4,1), m:n=1:4

Therefore:

$(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)$

The correct option is A.

6 0

1 year ago

Read 2 more answers

-4(3/2x - 1/2) = -15

adelina 88 [10]

Answer:

2.8333333333333333333

Step-by-step explanation:

I have high iq

-4(3/2x - 1/2) = -15

Distribute -4

-6x + 2 = -15

Subtract 2 from both sides

-6x = -17

Divide 6 from both sides

x = 2.83333333333333333

4 0

1 year ago

The expression 11(1.022)^t11(1.022)

Lena [83]

Answer: growth factor = 1.022

Step-by-step explanation:

The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%

What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US

6 0

1 year ago

In a study of crime, the FBI found that 13.2% of all Americans had been victims of crime during a 1-year period. This result was

Mkey [24]

Answer: The lower bound of confidence interval would be 0.116.

Step-by-step explanation:

Since we have given that

p = 13.2%= 0.132

n = 1105

At 90% confidence,

z = 1.645

So, Margin of error would be

$z\sqrt{\dfrac{p(1-p)}{n}}\\\\=1.645\times \sqrt{\dfrac{0.132\times 0.868}{1152}}}\\\\=0.0164$

So, the lower bound of the confidence interval would be

$p-\text{margin of error}\\\\=0.132-0.0164\\\\=0.116$

Hence, the lower bound of confidence interval would be 0.116.

3 0

1 year ago