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lyudmila [28]
2 years ago
7

I need help with this question

Mathematics
1 answer:
dsp732 years ago
5 0
The slope is 9/3 which can be simplified into 3/1
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A shoe company found that 4.25% of the production is defective. The company
nlexa [21]

1190 pairs of shoes are defective

<em><u>Solution:</u></em>

Given that shoe company found that 4.25% of the production is defective

The company  made 28,000 pairs of shoes

To find: Number of pairs of defective shoes

From given information, 4.25% of the production is defective which means 4.25% of 28,000 pairs of shoes

Defective shoes = 4.25% of 28,000

Defective shoes = \frac{4.25}{100} \times 28000

Defective shoes = 4.25 \times 280 = 1190

Thus 1190 pairs of shoes were defective

6 0
3 years ago
Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
2 years ago
Y=3x^2+11x-4 and y=10x-1. solve the system of equations
Mashcka [7]
3x^2+11x-4=10x-1
3x^2+11x-10x-4+1=0
3x^2+x-3=0
Δ=1^1-4*3*(-3)=1+36=37
x1=(-1+V37)/6

x2=( -1-V37)/6
7 0
3 years ago
What is 100x82727=x?
Nadusha1986 [10]

Answer:

8272700

Step-by-step explanation:

Just add two zeros in the end

4 0
2 years ago
Read 2 more answers
A physician orders a dosage of 85mg. The drug on hand is labeled “0.1g in 1.5mL”. How many ML should the pharmacy technician giv
marin [14]

Answer:

Step-by-step explanation:

0.1 g = 100 mg

85 mg / 100 mg = x mL / 1.5 mL

x = 1.275 mL

7 0
2 years ago
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