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3 years ago

Find a number such that 7 times the number is 56 greater than the opposite of the number.

Mathematics

2 answers:

lukranit [14]3 years ago

7 0

Answer:

Step-by-step explanation:

The opposite of a number is its negative. For example, the opposite of 3 would be -3.

Equipped with that information, we just need to find a number that is halve of 56, since if it stays the same except that its opposite, it will be 56 away.

Draw a number line. This can be a great help in problems like these.

If we divide 56 by 2, we get 28. Now the opposite of 28 is -28.

What happens if we add 56 to -28? We get positive 28.

Now that we know the number, we need to find out what number to multiply 7 by to get that.

The simple way to do this is to divide 28 by 7.

28/7=4.

7*4=28.

The answer is 4.

Hope this helps!

Elenna [48]3 years ago

6 0

Answer:

hey your answer can be 10 because the oppisite of 56 is 65 and 7x 10 is 70

Step-by-step explanation:

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el precio del kilogramo de jitomate es de 36.50 juana compro 3 1/2 kilogramos cuanto pago por todo el jitomate?

SashulF [63]

El precio total por 3 1/2 kg de jitomate que compró Juana es 127.75

Para saber el precio total de los 3 1/2 kg de jitomate que compró Juana debemos hacer el siguiente procedimiento.

Necesitamos saber cuánto vale medio kg de jitomate, para ello dividimos 36.50 en 2.

36.50/2 = 18.25

Luego multiplicamos 36.50 por 3, para saber cuánto valen 3 kg de jitomate.

36.50 X 3 = 109.5

Por último, sumamos el precio de medio kilo con el precio de tres kilos para tener el total que pagó Juana.

109.5 + 18.25 = 127,75

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Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).

lora16 [44]

In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x -1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9.
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is 36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
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3 years ago

SOLVE THE QUESTION BELOW ASAP

qwelly [4]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) 16 feet

Part C) see the explanation

Step-by-step explanation:

Part A) Graph the function

Let

h(t) ----> the height in feet of the ball above the ground

t -----> the time in seconds

we have

$h(t)=-16t^{2}+98$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex is a maximum

To graph the parabola, find the vertex, the intercepts, and the axis of symmetry

<em>Find the vertex</em>

The function is written in vertex form

The vertex is the point (0,98)

Find the y-intercept

The y-intercept is the value of the function when the value of t is equal to zero

For t=0

$h(t)=-16(0)^{2}+98$

$h(0)=98$

The y-intercept is the point (0,98)

Find the t-intercepts

The t-intercepts are the values of t when the value of the function is equal to zero

For h(t)=0

$-16t^{2}+98=0$

$t^{2}=\frac{98}{16}$

square root both sides

$t=\pm\frac{\sqrt{98}}{4}$

$t=\pm7\frac{\sqrt{2}}{4}$

therefore

The t-intercepts are

$(-7\frac{\sqrt{2}}{4},0), (7\frac{\sqrt{2}}{4},0)$

$(-2.475,0), (2.475,0)$

Find the axis of symmetry

The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

$x=0$ ----> the y-axis

To graph the parabola, plot the given points and connect them

we have

The vertex is the point $(0,98)$

The y-intercept is the point $(0,98)$

The t-intercepts are $(-2.475,0), (2.475,0)$

The axis of symmetry is the y-axis

The graph in the attached figure

Part B) How far is the artifact fallen from the time t=0 to time t=1

we know that

For t=0

$h(t)=-16(0)^{2}+98$

$h(0)=98\ ft$

For t=1

$h(t)=-16(1)^{2}+98$

$h(1)=82\ ft$

Find the difference

$98\ ft-82\ ft=16\ ft$

Part C) Does the artifact fall the same distance from time t=1 to time t=2 as it does from the time t=0 to time t=1?

we know that

For t=1

$h(t)=-16(1)^{2}+98$

$h(1)=82\ ft$

For t=2

$h(t)=-16(2)^{2}+98$

$h(2)=34\ ft$

Find the difference

$82\ ft-34\ ft=48\ ft$

The artifact fall 48 feet from time t=1 to time t=2 and fall 16 feet from time t=0 to time t=1

therefore

The distance traveled from t=1 to t=2 is greater than the distance traveled from t=0 to t=1

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Which trigonometric function best describes the graph below?

yanalaym [24]

The function is the Sine Curve

y = sine (x)

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