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4 years ago

The second question

Mathematics

1 answer:

stich3 [128]4 years ago

7 0

A: 5

B: 9a & a (from a/6)

C: -5 & ÷4

D: -5 & 9a

I haven't done algebra in a year, so don't think my answers are perfect!

definitions:

term: something separated by a sign/symbol (÷, ×, - +) (a/6 are two separate terms, ÷)

constant terms: variables that can be solved.

unlike terms: terms that don't "go" together, you can't subtract 5 from 9a because there's a variable in the way (eyy that rhymes)

like terms: terms that you can add/subtract/multiply/divide to another term

(another answer to c is 9a & a)

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30 POINTS NEED HELP

KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2 Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560 Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558$

Dividing both sides by 9

$\frac{9x}{9}=\frac{558}{9}\\x=62$

Putting x=62 in Eqn 1

$y=5(62)\\y=310$

Putting x=62 in Eqn 2

$z=3(62)+2\\z=186+2\\z=188$

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

I need to know what 11, 14, and 15 are I don't remember how to do it

almond37 [142]

When you reflect a function in the x-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa). See the attached picture.

Question 11: f(x) = -5x + 2. The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.

When you reflect a function in the y-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same. Replace x with -x .

Question 14: f(x) = |2x - 1| + 3. Replacing x with -x produces g(x) = |2(-x) - 1| + 3 which simplifies to g(x) = |-2x -1| + 3.

Question 15 works the same way as #14.

6 0

3 years ago

Allen runs 8 miles in 3 hours at a steady pace. how long does it take him to run 3 miles

Amiraneli [1.4K]

$\begin{array}{ccc}8miles&-&3hours\\\\3miles&-&xhours\end{array}\\\\8x=3\cdot 3\\\\8x=9\ \ \ \ /:8\\\\x=\frac{9}{8}\\\\x=1\frac{1}{8}\ (h)$

$v=\frac{8}{3}\ mph\\\\s=3miles\\\\t=s:v\\\\t=3:\frac{8}{3}=3\cdot\frac{3}{8}=\frac{3}{1}\cdot\frac{3}{8}=\frac{9}{8}=1\frac{1}{8}\ (h)$

4 0

3 years ago

Read 2 more answers

rusak2 [61]

Answer:

From top to bottom;

1,1,3,3

Step-by-step explanation:

mathematically, for an even function;

f(x) = f(-x)

what this mean is that;

f(-1) = f(1)

f(-3) = f(3)

f(-5) = f(5)

f(-6) = f(6)

so we have it that;

f(-1) = 1

f(-3) = 1

f(-5) = 3

f(-7) = 3

7 0

2 years ago

A line segment has a midpoint of (5, 1/2 ) If one endpoint is (5,4), what is the other endpoint?

garik1379 [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers