All categories

3 years ago

I don't understand how to solve this, please help!

Mathematics

1 answer:

murzikaleks [220]3 years ago

7 0

Answer:

x+1 , x<-1

x²-bx-4 , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

then for :

x²-bx-4=1/2 x +a for x=4

4²-4b-4=1/2x+a

16-4(3)-4=4/2+a

16-12-4-2=a

the equations will be :

x+1

x²-3x-4

1/2x-2

I hope this help

You might be interested in

The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hun

Juliette [100K]

Pythagorean Theorem
3*3+8*8=x*x
9+64=x*x
73=x*x
x=√73≈8.5

4 0

3 years ago

40 Points!!! Help please!! Will give Brainliest!!!

Marta_Voda [28]

Answer:

3/8 sq. units

Step-by-step explanation:

The formula for area for a trapezoid is

Area = (1/2)*(base1+base2)*height

Area = (1/2)*(1/2 + 1/4) * 1

Area = (1/2)*(2/4 + 1/4)

Area = (1/2)*(3/4)

Area = 3/8 sq. units

4 0

3 years ago

Two separate linear functions are expressed by the graph and by the equation. Select all that apply.

Andre45 [30]

Answer:

First option: The slope is negative for both functions.

Fourth option: The graph and the equation expressed are equivalent functions.

Step-by-step explanation:

<h3> The missing graph is attached.</h3><h3> </h3>

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

$y=-4x-4$

We can identify that:

$m=-4\\b=-4$

Notice that the slope is negative.

We can observe in the graph that y-intercept of the other linear function is:

$b=-4$

Then, we can substitute this y-intercept and the coordinates of a point on that line, into $y=mx+b$ and solve for "m".

Choosing the point $(-2,4)$ , we get:

$4=m(-2)-4\\\\4+4=-2m\\\\m=-4$

Notice that the slope is negative.

Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.

4 0

3 years ago

Read 2 more answers

Simplify: 1.3 + (–6) + (–4.25)

Dmitrij [34]

Answer:

-8.95

Step-by-step explanation:

1.3 - 6 - 4.25

-4.7 - 4.25

-8.95

Hope this helps!

Have a nice day!

If you find my answer helpful

<em>Pls consider marking my answer as </em><em>Brainliest</em><em>! It would mean a lot!</em>

6 0

3 years ago

Select an equation that passes through the point (5,7) and is perpendicular to the line x=4

alexandr1967 [171]

y = 7

x = 4 is a vertical line parallel to the y- axis passing through all points with an x- coordinate of 4

A line perpendicular to x = 4 will be a horizontal line parallel to the x- axis with equation y = c where c is the value of the y- coordinate the line passes through.

line passes through (5 , 7) with y- coordinate 7

The equation is therefore y = 7

8 0

3 years ago