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3 years ago

The function shown is reflected across the y-axis to create a new function.

Mathematics

1 answer:

serious [3.7K]3 years ago

4 0

Answer:

D. The range stays the same, but the domain changes

Step-by-step explanation:

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Use natural logarithms to solve the equation.round to the nearest thousandth 6e^4x-2=3

Vesna [10]

Answer:

x = 0.598

Step-by-step explanation:

$6e^{4x-2} = 3$

Taking natural log on both sides

$ln(6e^{4x-2}) = ln(3)$

(4x-2) ln(6e) = ln(3)

(4x-2) (ln(6) + ln(e)) = ln3 //ln(e) = 1

(4x-2) (ln(6) + 1) = ln3

$4x-2=\frac{ln3}{(ln6+1)}\\\\4x=\frac{ln3}{(ln6+1)} + 2\\\\x = \frac{\frac{ln3}{(ln6+1)} + 2}{4}$

$x = \frac{\frac{ln3}{(ln6+1)} + 2}{4} \\\\x = 0.598$

6 0

4 years ago

The histogram below gives the distribution of the number of children that students in an Introductory Statistics class had. Ther

mafiozo [28]

Answer:

25%

Step-by-step explanation:

Height of all the bars in chart = 2 or more is 10, 3, 1.

Add all the bars to give us exact amount of data required = 10 + 3 + 1 = 14

Total number of students in class = 56

Percentage of class having two or more student = (14/56) * 100% = 25%

7 0

3 years ago

Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

Whats a function rule for this:<br> 7 less than three fifths of b is a

Elanso [62]

(3/5)b - 7 = a

Remember "of" means to multiply. Less than means subtraction: 7 less than means -7.

3 0

3 years ago

Order of operations

Varvara68 [4.7K]

ANSWER

129

EXPLANATION

The given expression is:

$4^2×2^3- (14-16)÷2$

Deal with the parenthesis first.

$4^2×2^3- ( - 2)÷2$

$4^2×2^3 + 2÷2$

Deal with exponents,

$16×8+ 2÷2$

Divide now

$16×8 + 1$

Multiply

$128 + 1$

You can now add to get

$129$

The order of operations is PEDMAS

6 0

3 years ago