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baherus [9]
3 years ago
11

(?)(3x — 2)= 24x^2 — 16x

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

\boxed{?}(3x-2)=24x^2-16x\implies \boxed{?}=\cfrac{24x^2-16x}{3x-2}\\\\\\\boxed{?}=\cfrac{\stackrel{\textit{common factoring}}{8x~~\begin{matrix}  (3x-2) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix}  3x-2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{?}=8x

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3 years ago
Look at the graphs and their equations below. Then fill in the information about the leading coefficients A overline B Cand D
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Explanation

,the leading term is the term containing the highest power of x. The coefficient of the leading term is called the leading coefficient.

\begin{gathered} ax^2+bx+c=0 \\ a\text{ is the leading coefficient} \end{gathered}

Step 1

a)

an easy way to tell whether the graph of a quadratic function opens upward or downward: if the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.

therefore

\begin{gathered} graph\text{ A}\Rightarrow open\text{ downward}\Rightarrow negative \\ graphB\operatorname{\Rightarrow}open\text{upwards}\operatorname{\Rightarrow}pos\imaginaryI t\imaginaryI ve \\ graphC\operatorname{\Rightarrow}\text{ open upwards}\Rightarrow positive \\ graphD\operatorname{\Rightarrow}open\text{downward}\operatorname{\Rightarrow}negat\imaginaryI ve \end{gathered}

Step 2

b)the leading coefficient "a" indicates how "fat" or how "skinny" the parabola will be.

for

\begin{gathered} \lvert{leading\text{ coefficent}}\rvert>1,\text{ the parabola will be ''skinny''} \\ \lvert{\text{leadin coefficien}}\rvert

hence, more the skinny the graph is, the more closet to zero

therefore,the coefficient closest to 0 is C

Step 3

c)simiary, the graph with the leading coefficient with the grates value will be

graph B

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I hope this helps you

4 0
1 year ago
An automobile manufacturer claims that its jeep has a 31.2 miles/gallon (MPG) rating. An independent testing firm has been contr
adoni [48]

Answer:

we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating

Step-by-step explanation:

We are given;

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Sample mean; x¯ = 31.4

Sample size; n = 230

standard deviation; σ = 2.5

Significance level = 0.05

Let's define the hypotheses;

Null hypothesis; H0: μ = 31.2

Alternative hypothesis; Ha: μ ≠ 31.2

Formula for the test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (31.4 - 31.2)/(2.5/√230)

z = 0.2/0.4564

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From online p-value from z-score calculator attached and using;

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We have;

P-value = 0.659937

This p-value is greater than the significance value and thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating

4 0
3 years ago
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