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Julli [10]
3 years ago
6

Use long division to find the value of 1,875 - 15​

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

1860

Step-by-step explanation:

1875-15 = 1860

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The ________ of an angle is a segment or a ray that passes through the vertex of an angle and splits it into two congruent angle
Yakvenalex [24]
Bisector is the correct answer  <span />
4 0
3 years ago
Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-24
Zanzabum

We want to find a polynomial

<em>f(x)</em> = <em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em>

such that the roots of <em>f</em> are <em>x</em> = -3, <em>x</em> = -1, and <em>x</em> = 4, and <em>f(x)</em> takes on a value of -24 when <em>x</em> = -2.

The factor theorem for polynomials tells us that we can factorize <em>f(x)</em> as

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a</em> (<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4)

Expand the right side:

(<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4) = <em>x</em>³ - 13<em>x</em> - 12

So we have

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a x</em>³ - 13<em>a</em> <em>x</em> - 12<em>a</em>

<em />

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

<em>a</em> = <em>a</em> (of course)

<em>b</em> = 0 (there is no <em>x</em>² term on the right)

<em>c</em> = -13<em>a</em>

<em>d</em> = -12<em>a</em>

<em />

We also have that <em>f</em> (-2) = -24, which means

<em>f</em> (-2) = <em>a</em> (-2 + 3) (-2 + 1) (-2 - 4)

-24 = 6<em>a</em>

<em>a</em> = -4

which in turn tells us that <em>c</em> = 52 and <em>d</em> = 48.

So we found

<em>f(x)</em> = -4<em>x</em>³ + 52<em>x</em> + 48

4 0
2 years ago
!!!! PLEASEEE HELP ME, IDK WHAT TO DO PLEASE !!!!
Helga [31]

Answer:

  The first question is A.

  The second question is C.

   The thid question is B., I think i'm not quit sure sorry

4 0
2 years ago
If x = 9, what is the value<br> of 7x + 4?
Vika [28.1K]

Answer:

67

Step-by-step explanation:

7x9=63

63+4=67

5 0
3 years ago
Read 2 more answers
Solve the inequality <br> 42 &lt; -6d
sergiy2304 [10]
-6d > 42
d < 42 / (-6)
d < -7
8 0
3 years ago
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