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gogolik [260]
3 years ago
12

Kate is baking pies for the teachers lunch at her school. She plans to give every teacher 16of a pie. She decides to bake10 pies

.
Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

the answer is 260

Step-by-step explanation:

You might be interested in
High school math. Please answer everything in picture. Thank you................................................................
vaieri [72.5K]

Answer:

3) Cubic polynomial with four terms.

4) Linear polynomial with two terms.

5) The zeros are: (1-sqrt(5))/2=-0.618, 1, and (1+sqrt(5))/2=1.618

The y-intercept is y=1

Please, see the attached graph.

6) The zeros are: -1.272, 1.272

The y-intercept is y=1

Please, see the attached graph.

7) Please, see the attached files.

8) Please, see the attached files.

9) Please, see the attached files.

10) Please, see the attached files.


Step-by-step explanation:

3) Degree is the maximun exponent that the variable "x" has, in this case 3, then this is a cubic polynomial, and it has four terms (6x^3, -7x^2, -10x, and -8).


4) Degree is the maximun exponent that the variable "x" has, in this case 1 (x=x^1), then this is a linear polynomial, and it has two terms (-10x, and 10).


5) f(x)=x^3-2x^2+1

Zeros:

f(x)=0→x^3-2x^2+1=0

Factoring:

    x^3-2x^2+0x+1  

 ! 1      -2       0    1

<u>1 !____1____-1_-1</u>

   1      -1        -1   0

   1x^2-1x      -1 = x^2-x-1

x^3-2x^2+1=0→(x-1)(x^2-x-1)=0

The zeros are:

x-1=0→x-1+1=0+1→x1=1

x^2-x-1=0

ax^2+bx+c=0; a=1, b=-1, c=-1

x=(-b+-sqrt(b^2-4ac))/(2a)

x=(-(-1)+-sqrt((-1)^2-4(1)(-1))/(2(1))

x=(1+-sqrt(1+4))/2

x2=(1+-sqrt(5))/2=(1+2.236067978)/2=3.236067978/2=1.618033989=1.618

x=(1-sqrt(5))/2=(1-2.236067978)/2=-1.236067978/2=-0.618033989=-0.618

x3=(1+sqrt(5))/2

The zeros are: (1-sqrt(5))/2=-0.618, 1, and (1+sqrt(5))/2=1.618  

The y-intercept is:

x=0→f(0)=(0)^3-2(0)^2+1→f(0)=0-2(0)+1→f(0)=0-0+1→f(0)=1

The y-intercept is y=1.


6) f(x)=-x^4+x^2+1

Zeros:

f(x)=0→-x^4+x^2+1=0

Factoring: Multiplyng both sides of the equation by -1:

(-1)(-x^4+x^2+1)=(-1)(0)

x^4-x^2-1=0

(x^2)^2-(x^2)-1=0

Changing x^2 by t:

t^2-t-1=0

at^2+bt+c=0; a=1, b=-1, c=-1

t=(-b+-sqrt(b^2-4ac))/(2a)

t=(-(-1)+-sqrt((-1)^2-4(1)(-1))/(2(1))

t=(1+-sqrt(1+4))/2

t1=(1+-sqrt(5))/2=(1+2.236067978)/2=3.236067978/2=1.618033989=1.618

t2=(1-sqrt(5))/2=(1-2.236067978)/2=-1.236067978/2=-0.618033989=-0.618

t^2-t+1=0→(t-1.618)(t-(-0.618))=0→(t-1.618)(t+0.618)=0

and t=x^2, then:

(x^2-1.618)(x^2+0.618)=0

Factoring the first parentheses using a^2-b^2=(a+b)(a-b), with:

a^2=x^2→sqrt(a^2)=sqrt(x^2)→a=x

b^2=1.618→sqrt(b^2)=sqrt(1.618)→b=1.272

(x^2-1.618)(x^2+0.618)=0→(x+1.272)(x-1.272)(x^2+0.618)=0

The zeros are:

x+1.272=0→x+1.272-1.272=0-1.272→x1=-1.272

x-1.272=0→x-1.272+1.272=0+1.272→x2=1.272

The zeros are: -1.272, and 1.272  

The y-intercept is:

x=0→f(0)=-(0)^4+(0)^2+1→f(0)=-0+0+1→f(0)=1

The y-intercept is y=1.

3 0
3 years ago
25000000 in standard form
Elan Coil [88]

Answer:

2,500,000 This is in standard form.

2.5 x 10^6  This is in scientific notation.

Step-by-step explanation:

6 0
3 years ago
Geometry math question no Guessing and Please show work thank you
Lelu [443]

DE + EF = 4x+2

DE = x+7

EF = 7

Substitute these in

x + 7 + 7 = 4x + 2

x + 14 = 4x + 2

subtract x from both sides

14 = 3x + 2

subtract 2 from both sides

3x = 12

divide both sides by 3

x = 4

substitute this in to find the length of DE

DE = x + 7

(4) + 7 = 11

the answer is 11

5 0
3 years ago
Read 2 more answers
Find the dot product between the vectors u and v: u=2i+3j and v=-6i-5j
vitfil [10]

\bf \stackrel{\textit{dot product}}{\cdot }\implies (a\cdot c)+(b\cdot d) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} u=&2i+3j\\ v=&-6i-5j \end{cases}\implies \begin{cases} \\  \end{cases} \\\\\\ \cdot \implies (2\cdot -6)+(3\cdot -5)\implies -27

4 0
3 years ago
75 POINTS HELP PLEASE
Lady bird [3.3K]
The correct answer is C) (5×10⁴)(1×10²)

Explanation:
The number of trees can be calculated by the formula:
trees = density × area

Consider that the problem says that the researcher makes an approximation, and the answers have numbers written in scientific notation.

The density is 86 trees/km², 
which can be rounded to 100 trees/km² 
and written as <span>1×10².
Therefore, density = </span>1×10² trees/km²

The area of a square can be calculated by the formula:
A = s²
   = 220² 
   = 48400 km²
which can be roundend to 50000
and written as <span>5×10⁴
Therefore, area = </span>5×10⁴ km²

Now, we can substitute in the original formula:
trees = (1×10²)(5×10⁴)
3 0
3 years ago
Read 2 more answers
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