Find the value of the expression below when x =3/4 4x² + 8x - 5

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

Answer:

4x² + 8x - 5

= 4(3/4)² + 8(3/4) - 5

= 4 × 9/16 + 24/4 - 5

= 36/16 + 24/4 - 5

= 9/4 + 6 - 5

= 9/4 +1

= 3.25

Step-by-step explanation:

Hope it helps!!

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Gekata [30.6K]

Answer:

$\large\boxed{\dfrac{\boxed{8}}{81}}$

Step-by-step explanation:

$\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}$

$\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}$

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3 years ago

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Marina86 [1]

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Step-by-step explanation:

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In Exercise, sketch the graph of the function. f(x) = 0.5 ln x

BartSMP [9]

Answer:

To $f(x)=0.5ln(x)}$

view graph

Step-by-step explanation:

To $f(x)=0.5ln(x)}$ we can say that $f(x)=y=0.5ln(x)}$ then we find cut points. For y=0 $0=0.5ln(x)$ ⇒ $0=lnx\\e^{0}=e^{lnx}\\1=x$

as can be seen in the graph for any value of y greater that 0, x will always take values greater than 1, for values of y less than 0, x will take values less than 1