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Solnce55 [7]
3 years ago
15

Please help, thanks. I don't understand how to do this.​

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0

Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)

You might be interested in
what is the smallest of three consecutive integers i the sum of the smaller two integers is two more than seven times the larges
NNADVOKAT [17]

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The <em>lowest</em> of the three numbers is -3.

The <em>smallest</em> however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer.  In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable.  If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) =  7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) =  7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

3 0
2 years ago
Five more than twice a number is less than ten as an inequality?<br> plz help!!!!!!!
Sever21 [200]

Answer:

2x+5<10

Step-by-step explanation:

please mark as brainliest

5 0
3 years ago
Help ASAP please!!
Anit [1.1K]

Answer: The distance between W and X

if it helps, jump from the dash under W to the next dash until you get to X, you'll get 5 units

Hope this helps you and I hope you have a nice day :)

5 0
3 years ago
PLS ANSWER ASAP FIRST ONE TO DO SO GETS BRAINLIEST
Marta_Voda [28]

Answer:

Carmen can make 10\frac{5}{16} full servings.

Step-by-step explanation:

Given : Carmen mixes 3\frac{1}{2} cups of water with 3\frac{3}{8}  cups of juice to make punch.

Total quantity of punch Carmen made = total cup of water + cup of juice she mixes

Total quantity of punch Carmen made = 3\frac{1}{2}+3\frac{3}{8}

Solving , we get,

Total quantity of punch Carmen made = \frac{7}{2}+\frac{27}{8}

taking LCM(2,8) = 8 , we get,

Total quantity of punch Carmen made = \frac{28+27}{8}=\frac{55}{8}

Also, given She pours \frac{2}{3} cup servings of punch.

Thus, \frac{2}{3} cup of mixture makes 1 serving cup.

Using unitary method,

In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.

1 cup of mixture makes \frac{3}{2} serving cup.

\frac{55}{8} cup makes = \frac{3}{2}\times\frac{55}{8}

\frac{55}{8} cup makes = \frac{165}{16}=10\frac{5}{16}

Thus, She can make 10\frac{5}{16} full servings.


5 0
3 years ago
Write the quadratic equation y= x^2 -6x = 7 in vertex form.
lapo4ka [179]

Answer:

(x - 3)² - 16 = 0

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Subtract 7 from both sides

x² - 6x + 7 = 0 ← in standard form

with a = 1, b = - 6

Given a quadratic in standard form then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a} = - \frac{-6}{2} = 3

Substitute x = 3 into the equation for y

y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)

y = (x - 3)² - 16 = 0

7 0
3 years ago
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