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fomenos
3 years ago
9

During last year’s volleyball season, the coach concluded that the number of points you scored in each game could be given by th

e equation |x - 7| = 2. How many points did you score in each game ?
Mathematics
2 answers:
Sauron [17]3 years ago
7 0

The two solutions for x are x = 5 or x = 9.

We have some number x in which we subtract off 7. The result of this subtraction (x-7) is the value 2. If the result is negative, we flip it to positive. If the result is positive, we leave it alone. Absolute values are never negative because distance is never negative. Note how x = 5 is 2 units away from 7; similarly, x = 9 is also 2 units away from 7. Here's how you can solve for the two solutions

|x-7| = 2

x-7 = 2 or x-7  = -2

x-7+7 = 2+7 or x-7+7 = -2+7 .... add 7 to both sides

x = 9 or x = 5

x = 5 or x = 9

Therefore you could have scored 5 points or 9 points

kirill115 [55]3 years ago
4 0
I would say 5 but I don’t understand the question much
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Acar can travel 25 miles per gallon. Approximately how many gallons of fuel will the car need to travel 30
FrozenT [24]

Answer:

The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .

Step-by-step explanation:

Given:

The car can travel 25 miles per gallon. (1 mile = 1.6 km)

Now, we need to convert 25 miles into km .

25 miles = 25 × 1.6 km

              = 40 km

So, the car can travel 40 km per gallon.

Then, we find out in 1 km how many gallons are used:

40 km = 1 gallons

1\ km = \frac{1}{40}\ gallons

1\ km = 0.025\ gallons

Now, we find out how much gallons of fuel will the car need to travel 30 km:

Gallons of fuel the car need to travel 30 km = 30\times 0.025

                                                                         = 0.75 gallons.

Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.

6 0
3 years ago
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

3 0
3 years ago
PLEASE HELP IM DESPERATE WILL GIVE BRAINLIEST ONLY ANSWER IF YOU ARE HELPING
VARVARA [1.3K]

Answer:

48

Step-by-step explanation:

u • w

= (i + 6j ) • (9i - 2j )

= (1 × 9 ) + (6 × - 2 )

= 9 + (- 12)

= 9 - 12

= - 3

v • w

= (5i - 3j ) • (9i - 2j )

= (5 × 9) + (- 3 × - 2)

= 45 + 6

= 51

Then

u • w + v • w

= - 3 + 51

= 48

7 0
3 years ago
Write an equation perpendicular to the line 6x+12y=24 and passing through (4,0)
noname [10]
Y = 2x - 8 is perpendicular to 6x+12y=24 and passes through (4,0)
6 0
3 years ago
• Mother has 40 guavas to share among her daughters, Naomi got 3
scoray [572]

Answer:

Step-by-step explanation:

As given Total Guavas  = 40 ,

3 daughters,

Let   share of Sharon = x

then by given condition ,

Naomi share = x+3                  (3 more then Sharon

Also Kassie share = x+3+10 =x+13     (10 more then Naomi

Now

total shared = total

Naomi + Sharon + Kassie = 40

(x+3) +(x) +(x+13) =40

adding like terms with like we get ,

3x+16=40

3x=40-16

3x=24

x= 24/3

x= 8  

hence Sharon share = x =8

Naomi share = x+3 =8+3 =11

Kassie share = x+13 = 8+13 = 21

Plz Brain-list it     or subscribe to my channel " ZK SOFT&GAMING "  Thanks....

7 0
3 years ago
Read 2 more answers
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