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andrew-mc [135]
3 years ago
9

Please help asap.... lots of points and brainliest….

Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

a)  (x/2 +3)^2

b)  (5a -3b)^2

c)  (x/3 +y/5)^2

d)  (10b -3c)^2

e)  (a/4 -2b)^2

Step-by-step explanation:

Assuming you can do that, write the terms of the quadratic in lexicographical order. (The square terms will be first and last.) Then the binomial is the "sum" of the square roots of the first and last terms with the sign of the middle term.

Using (e) as an example, the term are already in order. (In (d), they need to be rearranged.) The first term is 1/16a^2, and its square root is 1/4a = a/4. The last term is 4b^2 and its square root is 2b. The sign of the middle term is negative, so these two roots will be separated by a minus sign:

  (a/4 - 2b)^2

The expression you want is the square of the binomial.

_____

As a check, you can make sure that double the product of these terms is the middle term of the trinomial you started with.

In this example, that double product is 2·a/4·(-2b) = -ab, which exactly matches the middle term you started with.

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belka [17]

Answer:

Slope: -\frac{3}{4}

Y-intercept: 399

Slope-intercept form: y=-\frac{3}{4}x+399

Step-by-step explanation:

1. The equation in Standard form is given in the problem:

3y+4y=1596

2. Then, to write the equation of the line in slope-intercept form  y=mx+b, where <em>m</em> is the slope and <em>b</em> is the y-intercept, you must solve for <em>y</em> as you can see below:

4y=-3x+1596\\y=\frac{-3x+1596}{4}\\y=-\frac{3}{4}x+399

3. Therefore, the slope and the y-intercept are:

m=-\frac{3}{4}\\b=399

5 0
3 years ago
What is the multiplicative rate of change for the exponential function graphed to the left?
garik1379 [7]

Hence, the function increases at a constant multiplicative rate..

<h2>What is a function?</h2>

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

<h3>How to solve?</h3>

We know,

the answer is (B) the function increases at a constant multiplicative rate.

to learn more about functions: brainly.com/question/25638609

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6 0
2 years ago
Make y the subject of these equations.<br> by² = d<br> Jay = 6<br> ay - cy = d.<br> cy - b) = y
allsm [11]

Answer:

See all the answers  below.

Step-by-step explanation:

by² = d

Jay = 6

ay - cy = d.

cy - b) = y

Option A

by² = d

divide both side by b

y² = d/b

square both sides

y=√d/b

Option B

Jay = 6

Divide both sides by Ja

y= 6/Ja

Option C

ay - cy = d

y(a-c)=d

divide both sides by (a-c)

y= d/(a-c)

Option D

(cy - b) = y

y-cy=-b

y(1-c)=-b

y= -b/(1-c)

6 0
3 years ago
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pshichka [43]
S(x)=30x+45
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4 0
3 years ago
What is the perimeter of ΔABC?
Serggg [28]

Answer:

Choice D:  Perimeter = 5 + \sqrt{65} +  \sqrt{34}  units

Step-by-step explanation:

point B(9, 2)  , point C(4, 5),  point A (1,1)

Perimeter = D( A, C)  + D (A, B)  + D (B, C)

where D (A, C) =  distance between A and C

so...

D(A, C) = root ( (4 - 1)^2 + (5 - 1)^2) = 5   from a 3-4-5 right triangle.

D(A, B) = root( (9- 1)^2 + (2 -1)^2) = root( 64 + 1) = root(65)

D(B, C) = root( (9 -4)^2 + (2 -5)^2) = root (25 + 9) = root(34)

Perimeter = 5 + root(65) + root(34)

Perimeter = 5 + \sqrt{65} +  \sqrt{34}  units

6 0
3 years ago
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