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grandymaker [24]
3 years ago
10

alt="\frac{3}{4}-\frac{2}{3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Komok [63]3 years ago
8 0
Lcf= 12


So we’d have
9 - 8
———
12

1
—-
12
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Determine if the figures below are congruent? Explain why or why not. I need it for a test please answer fast!
Rus_ich [418]

Answer:

Yes they should be congruent ones just at a different angle.

Step-by-step explanation:

6 0
3 years ago
Janice has 15 pets. Each of her pets is either a dog or a bird. If her pets have a total of 38 legs, how
balu736 [363]

<em>Hi!</em>

<em></em>

<em>These can be set up as systems of equations.</em>

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<em>Let b = the number of birds, and let d = the number of dogs.</em>

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<em>b + d = 21</em>

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<em>2b + 4d = 76 (this is because birds have 2 legs and dogs have 4 legs.)</em>

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<em>You can solve this using either elimination or substitution.</em>

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3 0
2 years ago
Given the vertex of a quadratic function, find the axis of symmetry.
motikmotik

(i) The equation of the axis of symmetry is x = - 5.

(ii) The coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) According to the <em>vertex</em> form of the <em>quadratic</em> equation, the parabola opens down due to <em>negative</em> lead coefficient and has a vertex at (2, 4), which is a <em>maximum</em>.  

<h3>How to analyze and interpret quadratic functions</h3>

In this question we must find and infer characteristics from three cases of <em>quadratic</em> equations. (i) In this case we must find a formula of a axis of symmetry based on information about the vertex of the parabola. Such axis passes through the vertex. Hence, the equation of the axis of symmetry is x = - 5.

(ii) We need to transform the <em>quadratic</em> equation into its <em>vertex</em> form to determine the coordinates of the vertex by algebraic handling:

y = x² - 8 · x - 2

y + 18 = x² - 8 · x + 16

y + 18 = (x - 4)²

In a nutshell, the coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) Now here we must apply a procedure similar to what was in used in part (ii):

y = - 2 · (x² - 4 · x + 2)

y - 4 = - 2 · (x² - 4 · x + 2) - 4

y - 4 = - 2 · (x² - 4 · x + 4)

y - 4 = - 2 · (x - 2)²

According to the <em>vertex</em> form of the <em>quadratic</em> equation, the parabola opens down due to <em>negative</em> lead coefficient and has a vertex at (2, 4), which is a <em>maximum</em>.  

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

5 0
1 year ago
The population of Collin County, which follows the exponential growth model, increased from 491,675 in 2000 to 782,341 in 2010.
Luden [163]

Answer:

p=ak^t

p1=491272*k^0

p2=782341*k^10

782341/491272 = k^10

k=1.047629

growth rate is 4.7629%

2012: predicted population is 491272*1.047629^12=858,642 people

1245863=491272*1.047629^t

1.047629^k=2.5363599

ln both sides is k ln 1.0476=ln 2.5363

t=20.000 years.

Rule of 72 would say 72/4.76 or 15.12 years for doubling

14.90 years

2017 predicted is 491272*1.0476^17 or 1083552, or more than actual, so the rate of growth is slowing down.

6 0
3 years ago
Which is an example of a statistical question?
Molodets [167]

Answer:

How old are the students in math class?

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data. For example, there will likely be variability in the data collected to answer the question, "How much do the animals at Fancy Farm weigh?" but not to answer, "What color hat is Sara wearing?".

3 0
3 years ago
Read 2 more answers
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