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3 years ago

See if you can Answer 9x^2+12x-24

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

The only solution would be to factor the equation which would be 3(3x^2+4x-8)

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Use the factor tree to find the prime factorization of 100.

shtirl [24]

Answer:

2×2×5×5

Step-by-step explanation:

1st of all they are prime factors

if multiplied give us 100

6 0

2 years ago

Inverse of y=14x2 show derivations

Rudik [331]

<h2>Answer:</h2>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$y=14x^2$

<h3>2. Substitute y for x, and x for y.</h3>

$x=14y^{2}$

<h3>3. Solve for y.</h3>

$14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}$

<h3>4. Express your result.</h3>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

4 0

1 year ago

Malia's retirement party costs $35, plus an additional $1 for each guest she invites. If there

Bas_tet [7]

Answer:

$85

Step-by-step explanation:

$35 + $1 x 50 guests = $85

4 0

2 years ago

The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 110 inches. Find the length and the width.

nataly862011 [7]

Answer:

Length = 43 inches
Width = 12 inches

Step-by-step explanation:

Perimeter of a rectangle = 2 * ( L + W)

The length of a rectangle is 5 inches less than 4 times the width.

Assume the width is x. Length is:

4x - 5

Equation is therefore:

2 * (4x - 5 + x) = 110

4x - 5 + x = 110/2

5x - 5 = 55

5x = 55 + 5

x = 60/5

x = 12 inches

If width is 12 inches, then length is:

= 4x - 5

= 4 * 12 -5

= 43 inches

6 0

2 years ago

A positive integer from one to six is to be chosen by casting a die. Thus the elements c of the sample space C are 1, 2, 3, 4, 5

Alex_Xolod [135]

Answer with Step-by-step explanation:

We are given that six integers 1,2,3,4,5 and 6.

We are given that sample space

C={1,2,3,4,5,6}

Probability of each element= $\frac{1}{6}$

We have to find that $P(C_1),P(C_2),P(C_1\cap C_2) \;and\; P(C_1\cup C_2)$

Total number of elements=6

$C_1$ ={1,2,3,4}

Number of elements in $C_1$ =4

$P(E)=\frac{number\;of\;favorable \;cases}{Total;number \;of\;cases}$

Using the formula

$P(C_1)=\frac{4}{6}=\frac{2}{3}$

$C_2$ ={3,4,5,6}

Number of elements in $C_2$ =4

$P(C_2)=\frac{4}{6}=\frac{2}{3}$

$C_1\cap C_2$ ={3,4}

Number of elements in $(C_1\cap C_2)=2$

$P(C_1\cap C_2)=\frac{2}{6}=\frac{1}{3}$

$C_1\cup C_2=$ {1,2,3,4,5,6}

$P(C_1\cup C_2)=\frac{6}{6}=1$

4 0

2 years ago