when using substitution to solve a system of education, how can you tell when a system has no solution

Mathematics

1 answer:

OLEGan [10]3 years ago

4 0

Answer:

Recognize systems of equations that have no solution or an infinite number of solutions

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A recent study found that 81?% of? breast-cancer cases are detectable by mammogram. Suppose a random sample of 11 women with bre

elena-s [515]

Answer:

9.847 %

Step-by-step explanation:

Be p1 the probability that the mammogram detect breast cancer in a woman.

p1=81%.

The probability 'P' that independent and consecutive 'n' singular events with p probability occur is:

$P=p_{1} ^{n}$

In this case:

P: Probability that breast cancer be detected on 11 women with breast cancer.

$P=0.81^{11}=0.09848$

$P=9.847$ %

7 0

3 years ago

15yd=45ft show the work to solve problem

disa [49]

Answer:

15 yd = 45 ft because :

Step-by-step explanation:

You have to multiply the length by 3.

1 yd = 3 ft.

15 x 3 = 45.

Hope this helps,

Davinia.

3 0

2 years ago

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

$f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.$