Which exponential function has an x-intercept?

To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she

olga nikolaevna [1]

Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than 32 inches of trim she has.

Step-by-step explanation:

The formula for calculate the area of a square is:

$A=s^2$

Where "s" is the lenght of any side of the square.

The formula for calculate the perimeter of a square is:

$P=4s$

Where "s" is the lenght of any side of the square.

We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula $A=s^2$ and find its value:

$A=s^2\\\\s=\sqrt{A}[\\\\s=\sqrt{60in^2}\\\\s=2\sqrt{15}in$

Substituting the value of "s" into the formula $P=4s$ , we get that the perimeter of the photo is:

$P=4(2\sqrt{15}in)=30.98in$

Therefore, since Alicia has 32 inches of trim and $30.98in$ , we can conclude that she will have enough trim for all four sides of the square.

8 0

2 years ago

Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)

Lelu [443]

Answer:

$y=-\frac{3}{10} x+\frac{1}{2}$ or $-\frac{3}{10}$

Step-by-step explanation:

first use the y2-y1/x2-x1 formula then use y=mx+b after

plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

$\frac{2-(-1)}{-5-5}$ =

2+1=3

-5-5=-10

$-\frac{3}{10}$ is ur slope

_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

-1=-3/10(5)+b

-3/10*5=-3/2

-1=-3/2+b

add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

hope this helps

7 0

2 years ago

2. An exam readiness awareness taskforce at a Fremont National university sampled 200 students after the midterm to ask them whe

k0ka [10]

Answer:

c) (40+60+25)/200 or 63%

Step-by-step explanation:

n= 200 students

Did Well on the Midterm and Studied for the Midterm = 75

Did Well on the Midterm and Went Partying = 40

Did Poorly on the Midterm and Studied for the Midterm = 25

Did Poorly on the Midterm and Went Partying = 60

The number of students that did poorly on the midterm or went partying the weekend before the midterm is given by the sum of all students who did poorly to all students who went partying minus the number of students who did Poorly on the Midterm and Went Partying:

$N=(25+60)+(40+60) - 60\\N= 125$

The probability that a randomly selected student did poorly on the midterm or went partying the weekend before the midterm is given by:

$P = \frac{N}{n}=\frac{125}{200} = 0.63 = 63\%$

3 0

2 years ago

Please help.

serious [3.7K]

The number of throws that the player make X follows binomial distribution.

The probability that the player makes x throws out of eleven throws is

$P(X=x)=C(x,11)0.5^x(0.5)^{11-x}=C(x,11)0.5^{11}$

The probability that the player makes at most nine out of eleven free throws

is

$\sum_{x=0}^9C(x,11)0.5^{11}=1-\sum_{x=10}^{11}C(x,11)0.5^{11}\\ =1-C(10,11)0.5^{11}-C(11,11)0.5^{11}=1-\frac{12}{2^{11}} \\ =1-\frac{3}{512} =\frac{509}{512}$

Correct choice is (B).

8 0

2 years ago

Find the slope of the line.

QveST [7]

Answer: your answer will be (b) 0

hope it helps

4 0

2 years ago

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