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3 years ago

The sum of two integers is +15 and one of them is - 7. Which is the next integer?

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Sum of two integers is 15. One integer is -7 and suppose other integer is x. Then

x+(-7)=15

x=22

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4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* Lets use these steps to solve the problems

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ The functions are inverses to each other

* Now lets find f(g(x))

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ f(g(x)) = x

∴ The functions are inverses; f(g(x)) = x

* Lets find the inverse of h(x)

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

4 0

3 years ago

Solve a = D + C/B for d d = ab - c d = ab + c d = a/b - c

harkovskaia [24]

Your answer is ab -c

multiply both sides by B
Then subtract C

6 0

3 years ago

-3|x|+2x-1 if x=-5 plz help

Savatey [412]

Answer:

f(x) = -3|x| + 2x - 1

f(-5) = -3|-5| + 2*(-5) - 1

= -3*5 + 2*(-5) - 1

= -15 - 10 - 1

= -26

Hope this helps!

5 0

2 years ago

Read 2 more answers

on a number line the coordinates of x, y, z, and w are -6, -3, 1 and 4 respectively find the lengths of the two segments below t

exis [7]

The lengths of the two segments below then tell whether they are congruent

YZ = 4

XW = 12

not congruent

This is further explained below.

<h3>What is a number line?</h3>

Generally, A number line is a depiction of a graded straight line that serves as an abstraction for real numbers, which are symbolized by the

Number lines are used in introductory mathematics. It is generally accepted that a real number may be assigned to each point on a number line and that each point can be assigned to a real number.

YZ = Z - Y = 1 -(-3) = 4

XW = W -X = 5 -(-7) = 12

Because the segments are not the same length, they cannot be considered congruent.

In conclusion, It is self-evident that segment YZ will not have the same length as segment XW since it is just a portion of the latter.

Read more about the number line

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7 0

1 year ago

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triang

Rashid [163]

Answer:

Area of Shaded Region = (25π - 24) cm²

Step-by-step explanation:

See attachment

From the attached, the following observations are made;

Radius, r = 5cm

Base of triangles = 6cm.

Required

Area of shaded region.

If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius

Height = 5cm - 1cm

Height = 4cm

To calculate the area of the shaded region, we first calculate the area of the circle.

Area = πr²

Substitute 5 for r

Area = π * 5²

Area = π * 25

Area = 25π cm²

Then we calculate the area of both triangles

Area of 1 triangle is calculated as follows.

Area = ½ * base * height

Substitute 4 for height and 6 for base.

Area = ½ * 4 * 6

Area = 2 * 6

Area = 12cm²

Since both triangles are equal.

Area of two triangles = 2 * Area of 1 triangle

Area = 2 * 12cm²

Area = 24cm²

Having calculated the area of the circle and that of both triangles.

Area of shaded region = Area of Circle - Area of Triangles

Area of Shaded Region = 25π cm² - 24 cm²

Area of Shaded Region = (25π - 24) cm²

3 0

3 years ago

Read 2 more answers