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xz_007 [3.2K]
3 years ago
5

Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x. ax + bx - c = 0

Mathematics
2 answers:
Stolb23 [73]3 years ago
4 0
ax+bx-c=0\\
x(a+b)=c\\
x=\dfrac{c}{a+b}
JulsSmile [24]3 years ago
3 0
ax+bx-c=0 \ \ \ |+c \\
ax+bx=c \\
(a+b)x=c \ \ \ |\div (a+b), a+b \not= 0 \\
\boxed{x=\frac{c}{a+b}}
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Option A:

The equation for the trend line is y = 82x + 998.

Solution:

The points on the line are (2, 1162) and (11, 1900).

Here, x_1=2, y_1=1162, x_2 = 11, y_2=1900

Slope of the line:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

$m=\frac{1900-1162}{11-2}

$m=\frac{738}{9}

m = 82

Point-slope formula:

y-y_{1}=m\left(x-x_{1}\right)

y-1162=82\left(x-2\right)

y-1162=82x-164

Add 1162 on both sides of the equation.

y=82x+998

The equation for the trend line is y = 82x + 998.

Hence Option A is the correct answer.

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3 years ago
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Step-by-step explanation:

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Answer:

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If fail to reject H0 (the null hypothesis), the conclusion is that the new cancer drug increases the mean survival time by 30 days.

Step-by-step explanation:

The null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

The alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

The test is a two-tailed test because the alternate hypothesis is expressed using more than or equal to.

If I fail to reject H0, it means the test statistic falls within the region bounded by the critical values.

It would therefore be concluded that the new cancer drug increases the mean survival time by 30 days.

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