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Mars2501 [29]
3 years ago
11

Using distributive property, factor out the GCF and rewrite 54 + 90​

Mathematics
1 answer:
Burka [1]3 years ago
8 0

Answer:

144

Step-by-step explanation:

54+90=144

144-90=54

90+54=144

144-54=90

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the variable z is directly proportional to x. when x is 6, z has the value 18. what is the value of z when x = 10 the variable z
nikklg [1K]
Z\alpha x
Z=kX
When x=6, z=18,
Finding value of z,
18=k*6
k=3
Z=3X
when x=10,
Z=3*10
Z=30

Part B;
Z\alpha  \frac{1}{x}
z=\frac{a}{x}
Where x is a constant of proportionality,
when x=3, z=2
2=\frac{a}{3}
a=3*2
a=6
When x is 13,
Z=\frac{6}{13}
6 0
3 years ago
Does this graph have any vertical asymptotes? If so, where?
tresset_1 [31]

Answer:

There are no vertical asympotes for this rational function.

Step-by-step explanation:

For rational functions, a vertical asymptote exists for every value of the independent variable such that function become undefined, that is, such that denominator is zero. Let be the following rational function:

C(p) = \frac{25000\cdot p}{100-p}, 0\le p < 100

There is a vertical asymptote for this case:

100-p = 0

p = 100

Which is out of the interval given to the rational function. Hence, we conclude that there are no vertical asympotes for this rational function.

5 0
3 years ago
State the number of real zeros and what they are for "3x^2+5x-2" pleas help me:'(
Lady bird [3.3K]
This can be solved by factoring.

First, set the expression equal to zero.

3x^2+5x-2=0

Then, find two the factors of  ac whose sum is b.

6, -1

Split b into these two factors.

3x^2+6x-x-2=0

Next, factor by grouping.

3x(x+2)-1(x+2) = (3x-1)(x+2) = 0

By the Zero Product Property, set each factor equal to zero.

3x-1 = 0 \\ x = 1/3

x+2=0 \\ x = -2

These are the solutions. The Complex Conjugate Root Theorem and the Fundamental Theorem of Algebra both state that, in essence, real and imaginary solutions come in pairs of two and every polynomial of degree n has exactly n complex roots, but real roots are also complex roots. That sounds confusing, but this just means that you're done. Your answers are -2 and 1/3. There are two real roots.
3 0
3 years ago
Write each expression with fewer terms. Show or explain your reasoning.
liraira [26]
1. 103-22 = 81
2 10.2-3y+2x is already in simplest form
6 0
2 years ago
Solve the system using a matrix.
zheka24 [161]

Answer:

using Gaussian elimination method of matrix

4 0
3 years ago
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