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3 years ago

Garcia wrote the equation y=-0.2x^2+5x-8 to model the path of a soccer ball. What is true about the expression -0.2x^2+5x-8?

Mathematics

1 answer:

shutvik [7]3 years ago

7 0

Answer:

Step-by-step explanation:

A. The leading coefficient is the number on the highest degree term. We have a 2nd degree polynomial because of the power of 2 on the x. That's what leads this polynomial off. So the leading coefficient is the number stuck to that x-squared term. Our leading coefficient is a -.2, not 5. 5 is the linear term.

B. The constant is the number that doesn't have a variable stuck to it. Our constant, then, is -8, not 2.

C. The expression does in fact have 3 terms. Each term is separated from the other terms by either a plus sign or a minus sign. A polynomial with 3 terms is called a trinomial.

D. The expression actually factors to x = 1.718... and x = 23.281... Neither one of those is the factor given in the statement.

The only one that is true is C.

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Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

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artcher [175]

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7 0

2 years ago

Read 2 more answers

A)Loss is denoted by a negative integer and profit is denoted by a positive integer. A

Blizzard [7]

Hi I am here to help the answer is 46-90

6 0

2 years ago

Tulsa has 4 times as many mangoes as Julie. Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie . How many

vova2212 [387]

Answer:

Step-by-step explanation:

Let the number of mangoes owned by Tulsa be T and that by Julie be J

If Tulsa has 4 times as many mangoes as Julie then

T = 4J

Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie

T + 6 = 5J

Solve both equations simultaneously by substitution

4J + 6 = 5J

Collect like terms

6 = 5J- 4J

J = 6

Since

T = 4J

T = 4 * 6

= 24

Hence Tulsa had 24 mangoes at first

8 0

2 years ago

A customer bought 7.5 pounds of apples from a local produce market. How many ounces of apples did the customer buy?

jeka94

Now if we have 7.5 pounds of apples first we need to convert 1 pound into ounces.

1 pound = 16 ounces.

Now we know how many ounces are in one pound. So lets take the 16 ounces for 1 pound and multiply by the 7 full pounds of apples. This excluding the 1/2 pound of apples.

7 x 16 = 112
(7 being the weight in pounds of the apples, 16 being 16 ounces in one pound, and 112 is how any ounces are in 7 pounds of apples.)

So now we have the amount of ounces in 7 pounds of apples.
But we are not done. We still have the 1/2 pound of apples. So we take 16 being 1 pound of apples and divide it by 2.

16 divided by 2 = 8

That 1/2 pound of apples = 8 ounces.

So now we have our 7 pounds of apples in ounces (112) and our 1/2 pound of apples in ounces (8)

So we add these back up in ounces

112 + 8 = 120.

So now we can conclude:

7.5 pounds of apples is 120 ounces

Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)

4 0

2 years ago