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2 years ago

A grocery store sells a bag of 6 oranges for $3.84. What is the cost of oranges, in

Mathematics

1 answer:

Vilka [71]2 years ago

3 0

Answer:

Each orange would cost $0.64.

Step-by-step explanation:

If you do 3.84 and divide that by 6, you would get the answer of $0.64 for each orange.

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Can u help me ASAP. i need to know how to do it step by step

12345 [234]

Answer:

19

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be 19.

4 0

2 years ago

Choose the correct discriminant, then

irina [24]

Answer:

Step-by-step explanation:

Order of Operations; PEMDAS

Parentheses

Exponents

Multiplication & Division (Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.

Addition & Subtraction (Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.

3x+6 =

(9+6=15)

(6x2=12)

(12-15=3)

7 0

2 years ago

How many solutions does this equation have? a + 3 + 2a = -1 + 3a + 4

vekshin1

-8a+4 im pretty sure

4 0

2 years ago

Read 2 more answers

Help!! I need an answer asap!! Given a∥b, find m∠1 = 71º. Find: m∠5, m∠8

Sindrei [870]

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

5 0

2 years ago

Read 2 more answers

Re-write the equation 3x - y = 4 in slope-intercept form.

Verdich [7]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Rearrange 3x - y = 4 into this form ( add y to both sides )

3x = y + 4 ( subtract 4 from both sides )

3x - 4 = y OR y = 3x - 4 → a

5 0

2 years ago