MATHEMATICS HIGH SCHOOL

Mario paid $44.25 in taxi fare from the hotel to the airport. The cab charged $2.25 for the first mile plus $3.50 for each additional mile. How many miles was it from the hotel to the airport?

Answers

Answer 1

Answer:

Answer:

12 miles

Step-by-step explanation:

2.25+3.50x=44.25

3.50x=42

x=12

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Determine the smallest 6 digit number which is exactly divisible by 8,15,and21
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Select all of the terms that are "like."a. xy 2b. 2xyc. x 2d. -xye. 2x 2yf. xy

Find the correct sum of these geometric series..*a1=343, an=-1, r= -1/7

*a1=80, n=7, r= -1/2

*a1= 3, a8=384, r=2

Please help me with these problems.. :(

Answers

1)
$a_(1)=343\n a_(r)=-1\nr=- (1)/(7) \na_(r)=a_(1)* q^(r-1) \n-1=343*q^(r-1)\n-1=343* -((1)/(7))^(r-1)\n-7^0=7^3*(- 7)^(-r+1)\n7^0=7^3*7^(-r+1)\nindexes: \n0=3-r+1\nn=4$
$S_r=a_1 (1-r^n)/(1-r)\nS_r=343* (1- (-(1)/(7) )^4)/(1- (-(1)/(7) ))\nS_r=343* (1- ((1)/(2401) ))/(1+ ((1)/(7) ))\nS_r=343* (((2400)/(2401) ))/(((8)/(7) ))\nS_r=343* (300)/(343) \nS_r=300$
2)
$S= a_(1)* (1- r^(2) )/(1-r)\n S=80*(1- ( -(1)/(2)) ^(2) )/(1+(1)/(2) )\nS=80* (1- (1)/(4) )/( (3)/(2) )=80* (3)/(4)* (2)/(3) =40$
3) we dont know how many numbers has this sequence

Which of the following statements are true regarding functions? *Check all that applyA. The horizontal line test may be used to determine whether a function is one-to-one.

B. A function is a relation in which each value of the input variable is paired with exactly one value of the output variable.

C. The vertical line test may be used to determine whether a function is one-to-one.

D. A sequence is a function whose domain is the set of real numbers.

Answers

Answer: A and B.

C. FALSE, because the vertical line test may be used to determine whether a relation is the function.

D. FALSE, because the function domain can be any set.

Answer:

It's A and B bbbbb bbb bbb bbb a a a a a aa a a a a a aa a aaaaaaaaaaaa a ababbababbababbababba aba ab baba ab ba babb abba ba ba b ab ab bab abab ab ab ab ab ab aba ba ba ab

Which are zeros of the following polynomial? 6x 2 - 11x - 10 = 0

Answers

Hello,

0=6x²-11x-10=6x²-15x+4x-10=3x(2x-5)+2(2x-5)=(2x-5)(3x+2)

Zeroes are: x=5/2 and x=-2/3

Answer:

The zeros of the given polynomial $6x^2-11x-10=0$ are $(5)/(2)$ and $(-2)/(3)$ .

Step-by-step explanation:

Consider the given polynomial,

$6x^2-11x-10=0$

We have to find the zeros of the given quadratic equation,

Solving using middle term splitting method,

-11x can be written as a sum of -15x and 4x and it will given product as -60.

The equation thus can be written as,

$6x^2-11x-10=0$

$\Rightarrow 6x^2+4x-15x-10=0$

$\Rightarrow 2x(3x+2)-5(3x+2)=0$

$\Rightarrow (2x-5)(3x+2)=0$

$\Rightarrow x=(5)/(2)$ and $\Rightarrow x=(-2)/(3)$

Zeros satisfies the polynomial , when we put them back in the equation, it must give result as zero.

Thus, the zeros of the given polynomial $6x^2-11x-10=0$ are $(5)/(2)$ and $(-2)/(3)$

A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line?a. The rise is –5, the run is 4.
b. The rise is –4, the run is –5.
c. The run is –5, the rise is 4.
d. The run is 4, the rise is 5.

Answers

Answer: a. The rise is –5, the run is 4.

Step-by-step explanation:

Given :- A line in the Cartesian plane passes through the points (–2, 4) and (2, –1)

Let $(x_1,y_1)=(-2,4)$ and $(x_2,y_2)=(2,-1)$

We know that rise of a line = vertical change of points=change in the coordinates of y

= $y_2-y_1=-1-4=-5$

Run of line=horizontal change of points=change in the coordinates of x

= $x_2-x_1=2-(-2)=2+2=4$

Therefore, The rise is –5, the run is 4.

Hello,

C is the good answer.

Δy=-1-4=-5 is the rise

Δx=2+2=4 is the run.

A recipe for modeling clay requires 1/3 cup of salt. how many recipes of salt can carla make with 7 3/4 cups of salt

Answers

Answer:

- The error is: $((31)/(4))((1)/(3))$

- The correct solution is: $(93)/(4)=23^{(1)/(4)}$ (Carla can make approximately 23 recipes with the clay).

Step-by-step explanation:

1. Carla must divide $(31)/(4)$ ÷ $(1)/(3)$ as following:

- Take the reciprocal of $(1)/(3)$ .

- Multiply the numerators and the denominators.

Then:

$((31)/(4))((1)/(3))=((31)(3))/((4)(1))=(93)/(4)$

2. As a mixed number:

$(93)/(4)=23^{(1)/(4)}$

3. Therefore, Carla can make approximately 23 recipes with the clay.

Probability theory predicts that there is a 16.2% chance of a particular basketball player making 5 free throws in a row. If the basketball player taking 5 free throws is simulated 5000 times, in about how many of the simulations would you expect at least 1 missed free throw?