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Phoenix [80]
2 years ago
13

Find the slope and y-intercept of each linear equation 30 points

Mathematics
1 answer:
uranmaximum [27]2 years ago
6 0

Step-by-step explanation:

<u>The slope-intercept form:</u>

  • y = mx + b, where m- slope, b- y-intercept

<u>Given lines:</u>

1)

  • y = - 2x + 7
  • m = - 2, b = 7

2)

  • y = 6x + 11
  • m = 6, b = 11

3)

  • y = -2.5x + 3.2
  • m = - 2.5, b = 3.2

4)

  • y = 1/4x - 2/7
  • m = 1/4, b = - 2/7

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A bottle of hand lotion is on sale for 2.25.if the price represents a 50percent discount from the original price,what is the ori
Flura [38]

Answer: $4.50


Step-by-step explanation: If it is 50% off then you take the price of $2.25 and double it. So 2 times $2.25 which is $4.50.

5 0
3 years ago
An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bu
notsponge [240]

Answer:

1. 90% 2. 10% 3. 50%

Step-by-step explanation:

Standard Deviation (σ) = 50 days

Average/Mean (μ) = 300days

Probability that it would last more than 300 days = P(Bulb>300 days)

We will assume there are 365 days in a year.

P(Bulb>300 days)  implies that the bulb would

Using the normal equation;

z = standard/normal score = (x-μ)/σ where x is the value to be standardized

P(Bulb>300 days) implies x = 365 days

Therefore z = (365-300)/50 = 1.3

Using the normal graph for z=1.3, probability = 90%

2. P(Bulb<300 days) = 1 - P(Bulb>300 days)\

P(Bulb<300 days) = 1 - 0.9

P(Bulb<300 days)  = 10%

3. P(Bulb=300 days) implies z=0 since x=300

Using the normal graph for z=0, probability =50%

6 0
2 years ago
What two numbers add to 9 and multiply to -70
Alborosie
X, y - the numbers

The numbers add to 9 and multiply to -70.
x+y=9 \\&#10;xy=-70 \\ \\&#10;y=9-x \\&#10;xy=-70 \\ \\&#10;\hbox{substitute 9-x for y in the second equation:} \\&#10;x(9-x)=-70 \\&#10;9x-x^2=-70 \\&#10;-x^2+9x+70=0 \\&#10;-x^2+14x-5x+70=0 \\&#10;-x(x-14)-5(x-14)=0 \\&#10;(-x-5)(x-14)=0 \\&#10;-x-5=0 \ \lor \ x-14=0 \\&#10;x=-5 \ \lor \ x=14 \\ \\&#10;y=9-x \\&#10;y=9-(-5) \ \lor \ y=9-14 \\&#10;y=14 \ \lor \ y=-5 \\ \\&#10;(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)

The numbers are -5 and 14.
4 0
2 years ago
J1, J2 and J3 are three junctions on a motorway. The distance from J2 to J3 is 8.7 miles. The distance from J1 to J2 is one-thir
leonid [27]

Answer:

11.6 miles

Step-by-step explanation:

Given that:

Distance from J2 to J3 = 8.7 miles

Distance between J1 and J2 = 1/3 of J2 toJ3

Hence, distance between J1 and J2 becomes :

1/3 * 8.7 miles = 2.9 miles

Distance from J1 to J3 equals :

(J1 to J2) + (J2 to J3)

2.9 miles + 8.7 miles

= 11.6 miles

5 0
3 years ago
Which of the following does not describes a dilation?
Kamila [148]

Answer:

isometry

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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