Try it
Consider the function:
What are these values?
7
+
f(-3) =
+ 2x
x S-1
f(0) =
-5 +
3x
2
-1 < x < 3
f(-1) =
1
4
ΧΣ 3
f(3) =
1
1
-5 -4 -3
-2 -1
0
1
2
3
4
5

Answer:

first option

Step-by-step explanation:

Given

[tex]\frac{3x}{x+1}[/tex] ÷ x + 1 = [tex]\frac{3x}{x+1}[/tex] ÷ [tex]\frac{x+1}{1}[/tex]

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

= [tex]\frac{3x}{x+1}[/tex] × [tex]\frac{1}{x+1}[/tex]

Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression  3x/x+1 divided by x+1.

An expression is combination of variables, numbers and operators.

The given expression is 3x/x+1 divided by x+1.

We need to find the equivalent expression of it.

3x/x+1 divided by x+1 can be mathematically written as below

(3x/x+1)/x+1

(3x/x+1) is the numerator and x+1 is in denominator

(3x/x+1)/(x+1/1)

When a fraction is divided by another fraction the denominator is multiplied to numerator as a reciprocal.

(3x/x+1).(1/x+1)

Hence, Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression  3x/x+1 divided by x+1.

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Answer:

It is 8 children and 32 adults

Step-by-step explanation:

8+32=40

11*8=88

20*32=640

640+88=728

Have a good day and stay safe!

Answer:

The answer is option C.

Step-by-step explanation:

Angles in a triangle add up to 180°

To find x add up all the angles in the triangle and subtract it from 180°

Thus

x + 95 + 57 = 180

x = 180 - 152

x = 28°

Hope this helps

Answer:

Starting with the smallest, we will have; D , C, A, B

Step-by-step explanation:

Given;

A = 3/4

B  = 5/6

C = 16/25

D = 9/15

Convert the fractions to decimal, to determine their sizes;

A = 3/4 = 0.75

B  = 5/6 = 0.833

C = 16/25 = 0.64

D = 9/15 = 0.6

From the decimal form of the fractions, it be observed that,

B > A > C > D

Starting with the smallest, we will have; D , C, A, B

Answer:

1:27

Step-by-step explanation:

I will use solve in terms of pi

Know that Original volume * scale factor cubed = new volume.

The scale factor is 3 and 3^3 is 27,

Therefore the ratio is 1:27

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

[tex]L = k \times M[/tex]

where 'k' will be called a scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²

to get each other corresponding quantities from their similar figures' quantities.

So the area of the first figure = k² × the area of the second figure

Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

The volume of the first figure = k³ × volume of the second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,

Diameter of sphere B = 3 × Diameter of sphere A

                                    = 3 × 2 units

                                    = 6 units

Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,

[tex](\dfrac{\text{Diameter of sphere A}}{\text{Diameter of sphere B}})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} \\\\\\(\dfrac{2}{6})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}}\\\\\\\dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} = \dfrac{1}{27}[/tex]

Hence, the correct option is D.

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Answer:

x=-1

Step-by-step explanation:

Answer: x. = -1

Step-by-step explanation:

Answer:

We have: g(x)=(x+2)(x-1)(x-2)

multiply the 3 terms:

This is a polynimial function with 2 vertices

The roots are approximatively:

0.8 and -1.5

their images are:

1.9 and 8.8

plot these two vertices and draw some other points

here is a drawing:

Answer:

5750

Step-by-step explanation:

[tex]\frac{5}{100}[/tex]×5000=250

250×3=750

5000+750=5750

Answer:

x = [tex]5\sqrt{2}[/tex].

Step-by-step explanation:

The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.

Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).

Since the hypotenuse is 10, and the side length is x, we can make a proportion.

[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]

[tex]x\sqrt{2}[/tex] = 10

x = [tex]\frac{10}{\sqrt{2} }[/tex]

x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]

x = [tex]\frac{10\sqrt{2} }{2}[/tex]

x = [tex]5\sqrt{2}[/tex]

Hope this helps!

Answer:

Tan 50 =3/a is the ans

Step-by-step explanation:

Feel very happy to help u

Answer:

tan 50=3/a

Step-by-step explanation:

Using the trigonometric ratio, tan(tita)=opposite/adjacent.

Opposite is the side with only 90°. Adjacent is the side with two angles.

Answer:

the answer is (x+6)2-4

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

here, we have,

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

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Step-by-step explanation:

given,

tan thita =8/9

or,tan thita=p/b

now, h=

[tex] \sqrt{p {}^{2} + b {}^{2} } [/tex]

[tex] = \sqrt{8 {}^{2} + 9 {}^{2} } [/tex]

[tex] = \sqrt{145} [/tex]

therefore, h=

[tex] \sqrt{145} [/tex]

now, cos thita =b/h

so, cos thita =

[tex]9 \div \sqrt{145} [/tex]

[tex] = 9 \sqrt{145} \div \sqrt{145} [/tex]

......ans........

hope its helpful

Answer:

e. 2x - 7y = 31.

Step-by-step explanation:

If you want a line parallel to the equation, the line must have the same slope.

2x - 7y = 9

-7y = -2x + 9

y = 2/7x - 9/7

You are looking for a line where the slope is 2/7.

a. Slope is 7/2.

b. Slope is -7/2.

c. Slope is 7/2.

d. Slope is...

y + 2 = 3/4x + 3

y = 3/4x + 1

Slope is 3/4.

e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.

2 * 5 - 7 * -3 = 31

10 --21 = 31

10 + 21 = 31

And there's your answer: e.

Hope this helps!

Answer:

(y-2)(x+8)

Step-by-step explanation:

As you can see it is factorized

Answer:

no it's not, since y has two functions , a positive and negative in terms of x.

Answer:

the first and fourth quadrants

Step-by-step explanation:

We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.

Let's first analyze time:

Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants

Second let's analyze the temperature:

The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.

If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.

Answer:

x -1

Step-by-step explanation:

-(-x + 1)

Distribute the minus sign

- 1 * -x  + -1 (-x)

x -1

Steps to solve:

-(-x + 1)

~Distribute the negative sign

(- * -x) + (- * 1)

~Simplify

x - 1

Best of Luck!

Answer:

[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

[tex]SA=2(lw+lh+wh)[/tex]

l - length

w - width

h - height

We have:

[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]

Substitute:

[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]

Answer:

B

Step-by-step explanation:

3•(-6)=-18

3•(-11)=-33

3•(-14)=-42

3•(-9)=-27

Answer:

B. [ -18 -33]

[ -42 -27]

you have to distribute the x3 to all four numbers in the matrix

Answer:

The graph is shown below.

Step-by-step explanation:

The given piecewise function is

[tex]f(x)=\begin{cases}-x & \text{ if } x<0 \\ x^2 & \text{ if } x\geq 0 \end{cases}[/tex]

From the given piecewise function, it is clear that

[tex]f(x)=-x[/tex] for x<0.

Put different values of x in f(x) where x<0 and find the values of f(x) to make a table of values as shown below.

Table of values:

x    f(x)

-3    3

-2    2

-1    1

Now, plot the points (-4,4),(-3,3),(-2,2),(-1,1) and join them by straight line. There is an open circle at x=0 because 0 is not included in this function.

From the given piecewise function, it is clear that

[tex]f(x)=x^2[/tex] for [tex]x\geq 0[/tex].

Table of values:

x    f(x)

0    0

1     1

2    4

Plot the points (0,0), (1,1), (2,4) and join them by a curve. There is closed circle at 0 because 0 is included in this function.

The graph is shown below.

Answer:

90°

Step-by-step explanation:

Data provided in the question

Angle V = right angle = 90°

YX and WX = tangents,

And YV and WV = radii

So, we can say that

Angle Y = 90°

And,

Angle  W = 90°

Now as we know that sum of four interior angles is 360°

So,

the equation is  

V + Y + W + X = 360°

90° + 90° + 90° + X = 360°

270° + X = 360

Therefore,

X = 360° - 270°

= 90°

Answer:

c. 90

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer: 10:19

Step-by-step explanation:

Time she plays on computer = 10 minutes

Time she plays outside = 19

Ratio will be 10:19

Answer:

x=7/2

Step-by-step explanation:

Answer:

X=7/2

Step-by-step explanation:

Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.

Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4.  Then, use the exponent rule to get 5a^2/-10a^4b^9

Hope it helps <3

Answer:

y = 40.5 cm

Step-by-step explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

Let a be the area of the single parallelogram

the area of a parallelogram is fiven by the formula :

let's find y

Answer:

Can i have a diagram please

Step-by-step explanation:

Answer: Su salario regular por hora es $12

Step-by-step explanation:

Hola, para resolver este problema debemos plantear una ecuación:

A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.

Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.

Matemáticamente hablando:

40 x+ 7 (2x) = 648

Resolviendo para x (salario regular por hora)

40x +14x =648

54x =648

x = 648/54

x = 12

Answer:

C. 7⁷ × 2⁷

Step-by-step explanation:

The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.

(7 × 2)⁷

7⁷ × 2⁷

Answer:

c. [tex]7^7[/tex]· [tex]2^7[/tex]

Step-by-step explanation:

please mark me brainliest!

Answer:

i think 56..?

Step-by-step explanation:

The geometric mean of 64 and 49 is 56.

The geometric mean is a mean or average of the  data sets using their product. The formula to calculate geometric mean is [tex]\sqrt{a*b}[/tex]

To find the geometric mean of 64 and 49 we have to put these values in the above formula. So,

Geometric Mean=[tex]\sqrt{64*49}[/tex]

=[tex]\sqrt{3136}[/tex]

=56

Hence the geometric mean of 64 and 49 is 56.

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