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3 years ago

What is the rule for the pattern 11,19,16,24,21,2926,...

Mathematics

2 answers:

ehidna [41]3 years ago

8 0

It is +8 -3, unless you have answer choices that says it a specific way?

Tema [17]3 years ago

7 0

Add 8, subtract 3, add 8, subtract three,etc.

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

Will the following side lengths make a triangle? 7, 5, 4

Greeley [361]

Okay too answer this you have to take the two smallest numbers and add them, in this case the answer would be 5 + 4 = 9. The answer has to be greater than the last number, In this case, 7. So the answer is yes.

8 0

2 years ago

Which statement describes the symmetry of the data in the two box plots?

inysia [295]

Answer:

The data in country B are more symmetric than the data in country A.

Step-by-step explanation:

The following information is missing:

<em>The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B</em>

Country A

minimum: 1

quartile 1: 3

median: 4

quartile 3: 7

maximum: 9.5

Country B

minimum: 1.2

quartile 1: 4

median: 6

quartile 3: 9

maximum: 11

We can see that the difference between quartile 1 and minimum, median and quartile 1, quartile 3 and median, and maximum and quartile 3 is more homogeneous in Country B than Country A, then Country B is more symmetric.

3 0

3 years ago

Read 2 more answers

In triangle ABC below, sinC=h/a and sinA=h/c. Which of the following combines the two sine ratios into one equation?

LenaWriter [7]

We know:

$sin(C)=\frac{h}{a}$