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3 years ago

Use the Distributive Property to express 24 + 40.

Mathematics

1 answer:

timurjin [86]3 years ago

5 0

Answer:

4(6+10)

Step-by-step explanation:

4×6=24

4×10=40

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X -1 < -4 What is ittttttttt

Kamila [148]

Answer:

x<-3

Step-by-step explanation:

x-1+1<-4+1

x<-3

8 0

3 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

Find the value of y

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

Find the values of x

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

4 years ago

Help me out please!!

AleksAgata [21]

Step-by-step explanation:

1. $(fg)' = f'g + fg'$ (chain rule)

2 $f(x) = x^5\sin{x}$

$\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}$

5 0

3 years ago

The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).What function is bei

Alexxx [7]

Answer:

The correct answer is

$y=x+4$

Explanation:

We are given the points:

(0, 4)

(1, 5)

(2, 6)

(3, 7)

We can see that for each unit that x-coordinate grows, the y-coordinate also grows one.

This means that the slope of the line is m = 1

The first point given, tell us the y-intercept: (0, 4)

The slope-intercept form of a line is:

$y=mx+b$

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

For the points given:

m = 1

b = 4

Thus:

$y=1\cdot x+4=x+4$

8 0

1 year ago

The sum of the page numbers on the facing pages of a book is 73. What are the page numbers?

Sholpan [36]

Answer:

The page numbers are 36 and 37.

Step-by-step explanation:

n + (n + 1) = 73

2n + 1 = 73

n = (73 - 1)/2

= 72/2 = 36

3 0

3 years ago