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statuscvo [17]
3 years ago
9

In how many ways could the blanks below (marked with []) be filled if all the coefficients must be positive integers? []a + []b

+ []a = 10a + 7b
Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

5 times.

1a + 7b + 9a = 10a + 7b

2a + 7b + 8a = 10a + 7b

3a + 7b + 7a = 10a + 7b

4a + 7b + 6a = 10a + 7b

5a + 7b + 5a = 10a + 7b

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What is the solution for -3x ≥ 36? x ≤ -12 x ≥ -12 x ≤ -108 x ≥ -108
konstantin123 [22]

Answer:

Step-by-step explanation:

Let  

V

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F

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E

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χ

=

V

−

E

+

F

is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,  

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Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,  

1

2

(

4

)

(

3

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=

6

edges, and  

1

3

(

4

)

(

3

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=

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vertices. Thus we have  

V

−

E

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F

=

4

−

6

+

4

=

2

.

Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their  

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3 0
3 years ago
Read 2 more answers
Graph the line.<br> Don’t mind the random letters Fghhujhgdfvfdfgvee de f
CaHeK987 [17]

Answer:

Step-by-step explanation:

Here, we want to graph the given line

Mathematically, to graph a line, we will

need to work with the intercepts

The general equation of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

with respect to the question, 4 is the y-intercept

we have this point as (0,4)

To get the x intercept, we will need to substitute 0 for the value of y

So, we have ;

0 = -x + 4

x = 4

The x-intercept too is 4

This is the point (4,0)

So by joining the points (0,4) and (4,0);

we have successfully graphed the line

It can be found as an attachment below

8 0
3 years ago
The model represents the factorization of 2x2 + 5x + 3. What is the missing term in the factorization of 2x2 + 5x + 3? (2x + 3)(
wolverine [178]

Answer: The missing term in the factorization will be (x+1).

Explanation:

Since we have given that

2x^2+5x+3

We'll use splitting the middle term in which we have given the quadratic equation as

ax^2+bx+c=0

Now, we have to find the two integers whose product will be 'ac' and whose sum will be 'b'.

By splitting the middle term , we get,

2x^2+3x+2x+3\\\\=x(2x+3)+1(2x+3)\\\\=(x+1)(2x+3)

Hence, the missing term in the factorization will be (x+1).


5 0
3 years ago
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11 1/4 divide by 2 what is the ansewer <br> pls help fast
Olegator [25]

11 \frac{1}{4} \div 2 =

11 \times  \frac{1}{4}  \times  \frac{1}{2}  =

\frac{11}{8} \\

So, the answer is

\frac{11}{8}

8 0
3 years ago
What does 7a - 3=3+6q
ella [17]
The answer is 7

<span>q−3<span>−6q</span>=3+6q<span>−6q</span>←</span> subtract 6a from both sides

<span>7a−6q−3<span>+3</span>=3<span>+3</span> ←</span> add 3 to both sides

<span>a=6 ←</span> this is the solution..

8 0
4 years ago
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