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algol13
4 years ago
11

Complete the equation An tell which property you used (3x10)x8=??x(10x8)

Mathematics
1 answer:
bixtya [17]4 years ago
3 0
 the x's are multiply
that is the associative poprety of multiplcation

so
(ab)c=a(bc)
so
(3x10)x8=3x(10x8)
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Riddle: What do the little piggies do as soon as they get home from school?
Shalnov [3]
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What is the value of n and the measure of 1?
IgorC [24]

Assuming that the figure is implying that angles 1 and 2 are the same, we have

11n=14n-18 \iff 3n=18 \iff n=6

So, the measure of angles 1 is

11\cdot 6=66

5 0
3 years ago
find an equation for the line that passes through (-4, 8) and (3, -7). what is the slope? where does the line intersect the x-ax
leonid [27]
(x_1;\ y_1);\ (x_2;\ y_2)\\\\the\ slope:m=\dfrac{y_2-y_1}{x_2-x_1}\\\\the\ slope\ form\ of\ the\ line:y=mx+b\\the\ point-slope\ form:y-y_1=m(x-x_1)\\-------------------\\\\(-4;\ 8)\to x_1=-4;\ y_1=8\\(3;-7)\to x_2=3;\ y_2=-7\\\\m=\dfrac{-7-8}{3-(-4)}=\dfrac{-15}{3+4}=-\dfrac{15}{7}\\\\\\y-8=-\dfrac{15}{7}(x-(-4))\\\\y-8=-\dfrac{15}{7}x-\dfrac{60}{7}\\\\y=-\dfrac{15}{7}x-\dfrac{4}{7}\\\\x-intercept\ when\ y=0\\-\dfrac{15}{7}x-\dfrac{4}{7}=0\ \ \ |\cdot7\\\\-15x-4=0\ \ \ |+4\\\\-15x=4\ \ \ |:(-15)

x=-\dfrac{4}{15}\to\left(-\dfrac{4}{15};\ 0\right)\\\\y-intrcept\ when\ x=0\\\\y=-\dfrac{15}{7}\cdot0-\dfrac{4}{7}\\\\y=-\dfrac{4}{7}\to\left(0;-\dfrac{4}{7}\right)
7 0
3 years ago
The cost of a floral bouquet after a discount is applied is represented by the function below, where x represents the number of
galina1969 [7]

The average rate of change over the interval (12,24) is 2.17

Explanation:

Given that the cost of a floral bouquet after a discount is given by the function f(x)=2.17x-10.00

We need to determine the average rate of change over the interval (12,24)

The average rate of change can be determined using the formula,

\frac{f(b)-f(a)}{b-a}

where a=12 and b=24

Substituting the value of a and b in the function, we get,

f(12)=2.17(12)-10.00

        =26.04-10.00

        =16.04

f(24)=2.17(24)-10.00

        =52.08-10.00

        =42.08

Hence, substituting these values in the formula, we get,

\frac{f(b)-f(a)}{b-a}=\frac{42.08-16.04}{24-12}

Simplifying, we get,

\frac{f(b)-f(a)}{b-a}=\frac{26.04}{12}

Dividing, we have,

\frac{f(b)-f(a)}{b-a}=2.17

Thus, the average rate of change over the interval (12,24) is 2.17

7 0
4 years ago
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