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Lilit [14]
2 years ago
12

1. Evaluate each algebraic expression.

Mathematics
1 answer:
almond37 [142]2 years ago
7 0

Answer:

-11, 4, and 22

Step-by-step explanation:

Expression: 3b-5

when b=-2

Expression: 3(-2)-5=-11

When b=3

Expre; 3(3)-5=4

When b=9

Expre; 3(9)-5=22

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Three-fourths of a cake remains after a birthday party. Each serving is 1/16 of the cake. How many servings of the cake remain?
Novay_Z [31]

Answer:

3/4 = 12/16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

12/16 :)

6 0
2 years ago
Use synthetic substitution to evaluate the polynomial P(x) = x^3-3x^2+4x-7 for x=3
Zina [86]

Answer:

\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}

Step-by-step explanation:

We are given polynomial as

P(x)=x^3-3x^2+4x-7

and it is divided by x=3 or x-3

we can use synthetic division

so, we got

Remainder =5

Quotient is

=x^2+0x+4

=x^2+4

we can write as

\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}


3 0
3 years ago
Need help please, does any one know how to do this​
ziro4ka [17]

Answer:

  • (6-u)/(2+u)
  • 8/(u+2) -1
  • -u/(u+2) +6/(u+2)

Step-by-step explanation:

There are a few ways you can write the equivalent of this.

1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...

  (-u+6)/(u+2)

Or, you can rearrange the terms so the leading coefficient is positive:

  (6 -u)/(u +2)

__

2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.

  -(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)

or

  8/(u+2) -1

Of course, anywhere along the chain of equal signs the expressions are equivalent.

__

3) You can separate the numerator terms, expressing each over the denominator:

(-u +6)/(u+2) = -u/(u+2) +6/(u+2)

__

4) You can also multiply numerator and denominator by some constant, say 3:

  -(3u -18)/(3u +6)

You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:

  (1+x^2)(6 -u)/((1+x^2)(u+2))

7 0
3 years ago
Use the arc length formula and the given information to find r. s = 12 cm, 0 = 360; r = ?
hjlf
use s=r0

but first convert 360 degree to radian
you will get 6.284 radian

then you substitute and get the answer!

12= r (6.284)
r= 1.91 cm
8 0
2 years ago
Find the x and y intercepts for the following equation. 2x– 7y=-14
Kisachek [45]

Answer:

C: Xint = 2, Yint. = -7

Step-by-step explanation:

Given the equation, 2x - 7y = -14:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0.  To solve for the y-intercept, set x = 0:

2x - 7y = -14

2(0) - 7y = -14

0 - 7y = -14

-7y = -14

Divide both sides by -7 to solve for y:

-7y/-7 = -14/-7

y = 2

Therefore, the y-intercept = 2.

Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:

2x - 7y = -14

2x - 7(0) = -14

2x - 0 = -14

2x = -14

Divide both sides by 2 to solve for x:

2x/2 = -14/2

x = -7

x-intercept = -7.

Therefore, the correct answer is C: Xint = 2, Yint. = -7

Please mark my answers as the Brainliest if you find this helpful :)

7 0
2 years ago
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