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iogann1982 [59]
3 years ago
14

Factor this expression. You will need to show your work for full credit. b^2-6b+8

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
4 0
B^2-6b+8 turns into b^2-2b-4b+8 due to the sum product pattern. which then turns into b(b-2) - 4(b-2) and then its (b-4)(b-2)
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Emma starts at one end of a 45-mile-long bike trail. After
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She has already reached the end of the trail.

Step-by-step explanation:

216 is a greater number than 45 miles

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How many solutions does this equation have?<br><br> –4j = –8j + 4j
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3 years ago
A polynomial function has a root of –4 with multiplicity 4, a root of –1 with multiplicity 3, and a root of 5 with multiplicity
lorasvet [3.4K]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

Step-by-step explanation:

A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -4 has even multiplicity of 4 so it only touches and does not cross through.

Root -1 has odd multiplicity of 3 so crosses through.

Root 5 has even multiplicity of 6 so it only touches and does not cross through.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

8 0
3 years ago
Cristiano is saving money to buy a bike that costs $189, He saved $99 so far. He plans on saving $10 each week. In how many week
yuradex [85]

Answer:

Cristiano will have enough money to buy bike in 9 weeks.

Step-by-step explanation:

Given:

Cost of the bike = $189

Money saved = $99

Money saving each week = $10

We need to find the number of weeks will he have money to buy bike.

Solution:

Let the number of weeks be 'x'.

Now we can say that;

Money saved  plus money saving each week multiplied by number of weeks is equal to cost of the bike.

framing in equation form we get;

99+10x=189

Subtracting both side by 99 using subtraction property of equality we get;

99+10x-99=189-99\\\\10x=90

Dividing both side by 10 using division property of equality we get;

\frac{10x}{10}=\frac{90}{10}\\\\x=9\ weeks

Hence Cristiano will have enough money to buy bike in 9 weeks.

7 0
4 years ago
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