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mixer [17]
3 years ago
5

1 Solve this quadratic using two different methods. Show both methods. x2 + 4x - 5 = 0

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer:

x = -5 or x = 1

Step-by-step explanation:

x^{2} + 4x - 5 = 0\\(x+5)(x-1)=0\\

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What is a function and how does it work?
liq [111]
For f(3)...put 3 as the value of x in f(x)
for x.....put the value of f(x) from the given and equate it with 14..and solve
5 0
3 years ago
The temperature rose by 11 degrees Fahrenheit today. Write a signed number to represent this temperature change
Anestetic [448]
The rise in temperature by 11 degrees Fahrenheit can be represented by the temperature change, ΔT = +11 °F. The temperature change is positive because the temperature increased as stated in the question. Moreover, the formula for temperature change is: ΔT = T_final - T_initial. This means that for this case, the final temperature is higher than the initial temperature. 
8 0
4 years ago
A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them
nasty-shy [4]

Answer:

a.   False

b. True

Step-by-step explanation:

Given that:

The sample size of the college student n = 100

The population of student that participated p = 38

We are to identify from the following statement if it is true or false.

From part a;

It is false since the random samples not indicate the population perfectly. As such we can't conclude that the proportion of students at this college who participate in intramural sports is 0.38.

The statement in part b is true because the sampling variation, random samples also do not indicate the population perfectly but it is close to be 0.38. Thus, it is suitable to conclude that the proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.

7 0
3 years ago
What are the coordinates of the point on the directed line segment from (-6, -3) to
melamori03 [73]

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

Point=\left(\dfrac{6(5)+5(-6)}{6+5},\dfrac{6(8)+5(-3)}{6+5}\right)

Point=\left(\dfrac{30-30}{11},\dfrac{48-15}{11}\right)

Point=\left(\dfrac{0}{11},\dfrac{33}{11}\right)

Point=\left(0,3\right)

Therefore, the coordinates of the required point are (0,3).

3 0
3 years ago
A rectangular garden has a perimeter of 172 feet. The length of the garden is 24 feet more than the width. What are the dimensio
Lilit [14]
Given width is 24 less than length.
W=L-24
Perimeter = 2(W+L)=2(L-24+L)=4L-48 
But we're also given perimeter = 172'
Therefore 4L-48=172
solve for L
4L=172+48=220
L=55'
W=55-24 =  31'
Check: Perimeter = 2(W+L)=2(31+55)=2*86=172'  good!

Answer: The dimensions of the garden are 31' * 55'
6 0
4 years ago
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