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3 years ago

25 POINTS!!!! PLEASE HELP! What kind of problem is this and how do I solve it? PLEASE HELP ASAP

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

To solve the given quadratic equations, equate to zero, factorise and solve

given

x² - 19x + 48 = 0

Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 19)

The required factors are - 3 and - 16, hence

(x - 3)(x - 16) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 16 = 0 ⇒ x = 16

----------------------------------------------------------------

given

x² + 21x - 100 = 0

Consider the factors of the constant term (- 100) which sum to give the coefficient of the x- term (+ 21)

The required factors are + 25 and - 4, hence

(x + 25)(x - 4) = 0

x + 25 = 0 ⇒ x = - 25

x - 4 = 0 ⇒ x = 4

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Write a number sentence to represent the sum modeled on the number line. In two or more complete sentences, explain your reasoni

Afina-wow [57]

Answer:

0 + (-2.5) + 5

Step-by-step explanation:

from 0 to -2.5 then to 5 so add 0 + (-2.5) + 5

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3 years ago

What ratio would you use to convert 366 minutes to hours

belka [17]

The answer is366:60

3 0

3 years ago

I don't know how to solve it.

Nataly [62]

Step-by-step explanation:

Take the first derivative

$\frac{d}{dx} ( {x}^{3} - 3x)$

$3 {x}^{2} - 3$

Set the derivative equal to 0.

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

$3 {x}^{2} = 3$

${x}^{2} = 1$

$x = 1$

$x = - 1$

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).

For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.

Since we are going to Positve to negative slope, we have a local max at x=-1

Plug in -1 for x into the original function

$( - 1) {}^{3} - 3( - 1) = 2$

So the local max is 2 and occurs at x=-1,

For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.

Since we are going to decreasing to increasing, we have minimum at x=1,

Plug in 1 for x into original function

${1}^{3} - 3(1)$

$1 - 3 = - 2$

So the local min occurs at -2, at x=1

8 0

2 years ago

Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom

Delvig [45]

Answer:

30 fruits

Step-by-step explanation:

Let

x ----> number of plums on the plate

y ----> number of apples on the plate

we know that

The ratio of the number of plums to the number of apples was 3:2

$\frac{x}{y} =\frac{3}{2}$

$x=1.5y$ ----> equation A

After Ed took 6 plums from the plate, the number of plums remaining on the plate became the same as the number of apples

$x-6=y$ ----> equation B

substitute equation A in equation B

$1.5y-6=y$

solve for y

$1.5y-y=6\\0.5y=6\\y=12$

Find the value of x

$x=1.5(12)=18$

therefore

Mon put on the table

$x+y=18+12=30\ fruits$

5 0

3 years ago

Read 2 more answers

jeka57 [31]

Answer:

The scale factor is $\frac{3}{2}$

Step-by-step explanation:

The volume of the original prism is $V_P=980cm^3$

The volume of the dilated prism is $V_Q=3307.5cm^3$

Let the scale factor be $k$ .

To find the volume of the dilated prism, we multiplied by $k^3$ .

$\Rightarrow 980k^3=3307.5$

$\Rightarrow k^3=\frac{3307.5}{980}$

$\Rightarrow k^3=\frac{27}{8}$

$\Rightarrow k=\sqrt[3]{\frac{27}{8}}$

$\Rightarrow k=\frac{3}{2}$

8 0

3 years ago