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tamaranim1 [39]
2 years ago
10

Rewrite this expression using distributive property: 4a + 4b - 5

Mathematics
1 answer:
Triss [41]2 years ago
5 0

Answer:

4(a + b) - 5

Step-by-step explanation:

Pull out the common factor

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Write −2.32 as a mixed number in simplest form.
skelet666 [1.2K]

Answer: -2 8/25

Step-by-step explanation:

-2.32 * 100/100

2.32*100/100

-232/200

Simplest form reduced by:

-58*4/25*4

-58/25

-2 8/25

7 0
3 years ago
Write an equation of a line containing the point (-2, 1) and is perpendicular to y= -1/4x-4
frosja888 [35]

the answer should be -4

hope this is correct for you and this helped

6 0
3 years ago
HELP 40 POINTS
Tom [10]
Answer: the function g(x) has the smallest minimum y-value.


Explanation:


1) The function f(x) = 3x² + 12x + 16 is a parabola.


The vertex of the parabola is the minimum or maximum on the parabola.


If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.


The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.


When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).


Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.


Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).


Then the minimum value is 4 (when x = - 2).


2) The othe function is <span>g(x)= 2 *sin(x-pi)
</span>

The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.


When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2


Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

7 0
3 years ago
Arman needs 4 1/2 inches of cable to make A, 3 3/4 inches to make B, and 5 1/8 inches to make C. He used a 12-inch piece of cabl
Slav-nsk [51]

Answer:

1/15

Step-by-step explanation:

jdndmsnx

7 0
3 years ago
Read 2 more answers
Based on this example, make a
Mnenie [13.5K]

Answer:

Step-by-step explanation:

  1. There are 4 of them (acute angles that is)
  2. Those 4 are less than 90 degrees.
  3. They have supplementary angles which are greater than 90 degrees.
  4. There are 4 of them also.
  5. The total number of angles should be 8 if there are 2 parallel lines and 1 transversal.
6 0
3 years ago
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