Solve the equation 3x^2 - 2x - 10 = 0 . Show all your working and give your answers correct to 2 decimal places.

Answer:

540 g m/s.

Step-by-step explanation:

[tex] \Large{\boxed{\sf 7 \times \dfrac{4}{21} = \dfrac{4}{3}}} [/tex]

[tex] \\ [/tex]

[tex] \blue{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf{\boxed{ \sf Multiplication \: of \: fractions \text{:}}}} \\ \\ \sf \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d} \\ \\ \end{array}}\\\end{gathered} \end{gathered}} [/tex]

[tex] \\ [/tex]

[tex] \sf 7 \times \dfrac{4}{21} [/tex]

[tex] \\ [/tex]

First, write 7 as a fraction:

[tex] \\ [/tex]

[tex] \sf 7 \times \dfrac{4}{21} = \dfrac{7}{1} \times \dfrac{4}{21} [/tex]

[tex] \\ [/tex]

Then, identify the value of a, b, c, and d:

[tex] \\ [/tex]

We can finally find our answer:

[tex] \\ [/tex]

[tex] \sf \dfrac{7}{1} \times \dfrac{4}{21} = \dfrac{7 \times 4}{1 \times 21} = \dfrac{28}{21} [/tex]

[tex] \\ [/tex]

Let's simplify our answer:

[tex] \\ [/tex]

[tex] \sf \dfrac{28}{21} = \dfrac{4 \times 7}{4 \times 7} = \boxed{\boxed{\sf \dfrac{4}{3}}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the multiplication of two fractions here:

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Hello,

(i) Express n as the subject.

[tex]C=\frac{nA}{n+12}[/tex]

[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]

(ii)

Since C = 6 mL and n = 8 we need to solve this equation of unknown A :

[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]

Thus, the equivalent adult dosage A would be 15 mL

(iii) I let you think about this one

Good Luck

Answer:

You can solve this with long division:

Answer:

Step-by-step explanation:

Volume :

V= abh

Area:

S=ab or V:h

In our  case :

[tex]abh=(2x^3+7x^2+10x+8 ) \\\\ h=x+2[/tex]

Let's use Synthetic division:

[tex]\large \boldsymbol{}x+2=0 \to x=-2 \\\\ \underline{\begin{array}{c|c|c|c|c|} \bf \stackrel{x+2}{-2} \ & \stackrel{x^3}{2} \ & \stackrel{x^2}{7} \ & \stackrel{x}{10} \ & { \stackrel{1}{8} \ }\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & -4 & -6 & -8\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & \ \ \bf3 \ & \ \ \bf4 \ & \bf 0 \ \end{array}}[/tex]

Then :

[tex]\large \boldsymbol{}(2x^3+7x^2+10x+8) :(x+2)= \\\\(2x^2+3x+4)(x+2):(x+2)=\boxed{2x^2+3x+4}[/tex]

Answer:

33

Step-by-step explanation:

You are adding 7 each time.

Hope this helps :)

Answer:

33

Step-by-step explanation:

Sequence is the progression of a number in a sequencial order.

Answer:

Jalil used 5/8 more cups of water than sugar

Step-by-step explanation:

Answer:

26,100

Step-by-step explanation:

[Given] 6 percent of 435000

[6% as a decimal] 0.06 of 435000

[Multiply] 26,100

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

1.2

Step-by-step explanation:

8.8 - 2.2 x 4 + 1.2

8.8 - 8.8 + 1.2

1.2

Answer:

I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)

I

Answer:

2 cups of milk, 4 cups of flour, and 2 cups of other ingredients

Step-by-step explanation:

multiply them by 2

Answer:

if $15.98----> 2kg

$x --------> 7kg

cross multiply

$x= (15.98 x 7)/2

x = $55.93

Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

Answer:

Step-by-step explanation:

How much does Jalisa charge per candle?

Answer:

2 exponent 5 = 32

5 exponent 3 = 125

2 - exponent 4 = 1/16

5 - exponent 2 = 1/25

Step-by-step explanation:

Answer:

It should be 24

Step-by-step explanation:

Sorry if this is wrong

Step-by-step explanation:

Separate it into 2 figures.

the first figure would be 3 m tall and 8 m wide. The second figure would be 5 m tall and 4 m wide.

3 × 8 = 24

5 × 4 = 20

20 + 24 = 44

The area of the figure is 44 square meters.

Answer:

x=2

Hope it's help

Brainliest plz

Answer:

x=2

Step-by-step explanation:

first collect the like term that is

6-2=7x-9x+4x

4=2x divide bothe sides by 2

X=2

Answer:

acute and scalene

Step-by-step explanation:

.

.

.

.

.

Answer:

Acute and Isosceles

Step-by-step explanation:

Acute= less than 90 degrees

Isosceles= two sides of equal length.

Answer:

it says 6 points not 12 points

Step-by-step explanation:

Answer:

X = 4 , Y = b , Z = 2a

Step-by-step explanation:

2b(2ab)² - a(2b²)² ← expand parenthesis

= 2b(4a²b²) - a(4[tex]b^{4}[/tex]) ← distribute parenthesis

= 8a²b³ - 4a[tex]b^{4}[/tex] ← factor out 4ab³ from each term

= 4ab³(2a - b)

Compare terms to XaY³(Z - b)

with X = 4 , Y = b , Z = 2a

Answer:

2/100 is the answer to the question

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

7x + 3(x - 2) - 4x + 8

7x + 3x - 6 - 4x + 8

Combine like terms:

6x + 2

Hope this helps!

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Let's Simply ~

Therefore, the correct choice is ~ A

Answer:

46

Step-by-step explanation:

because y=9 and x=8

the the equation (6y-x) becomes

(6x9)-8 which will be equal to 46

when worked out on a calculator.

Answer:

error= 0.1/2, 0.05

4.8 + 0.05 = 4.85

6.3 + 0.05 = 6.35

4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).

Step-by-step explanation:

Answer:

$14.80

Step-by-step explanation:

You just have to 0.8 * 18.50 becuase the new price is 80% of the old price. That would result in 14.80.

Answer:

3.25 and 4.25

Step-by-step explanation:

absolute value just makes the numbers positive

Answer:

a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.

However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]

b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.

However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]