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Fed [463]
3 years ago
5

Determine the x-intercept for 3x + 2y = 14.

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

First isolate y

3x + 2y = 14

-3x              -3x

2y = -3x + 14

y = -3/2x + 14/2

y = -3/2x + 7

X-intercept is found when y = 0

0 = -3/2x + 7

-7 = -3/2x

x = 14/3

x-in. = (14/3,0)

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determine whether 0 is a solution of inequality.    x>-3  is o a solution yes or no  if yes how u get to solution
expeople1 [14]
Really !

If zero is a solution, then you can put it in place of 'x' and the statement will be true.

x > -3
Put zero in place of 'x':

Zero is greater than -3 .

Is that true ?
(Hint: Yes, it's true.)

Then zero is a solution.
8 0
4 years ago
What equation(s) represent joint variations? check all that apply c=2pi z=3x/y y=3x+2 w=abc/4 v=lwh
Alinara [238K]

Answer:

Step-by-step explanation:

Joint variations occurs when one variable depends on the value of two or more variables. The variable varies directly or indirectly with the other variables combined together. The other variables are held constant. From the given examples, the equation(s) that represent joint variations are

1) z = 3x/y

z varies directly with x and inversely with y.

2) w = abc/4

w varies inversely with a,b and c. 4 is the value of the constant of variation.

7 0
3 years ago
Mitch bought four cookbooks and one novel for a total of $68.75. Each cookbook cost the same price. Thenovel cost $7 dollars les
ehidna [41]

Answer:

Each cookbook cost $15.15.

Step-by-step explanation:

Since the statement indicates that four cookbooks and one novel cost $68.75, you can write the following equation:

4x+y=68.75, where:

x is the price of cookbooks

y is the price of novels

Also, given that the novel cost 7 dollars less than a cookbook, you can write the following equation:

x=y+7

Now, you can replace x=y+7 in the first equation:

4(y+7)+y=68.75

4y+28+y=68.75

5y=40.75

y=40.75/5

y=8.15

Now, you can replace the value of y in x=y+7:

x=8.15+7

x=15.15

According to this, the answer is that each cookbook cost $15.15.

5 0
3 years ago
A neighborhood development that is 4 acres is to be divided into 2/3 acre lots. How many lots can be created?​
mihalych1998 [28]

6 lots can be created

<em><u>Solution:</u></em>

Given that neighborhood development that is 4 acres is to be divided into \frac{2}{3}acre lots

To find: number of lots created

From given information,

Total acres = 4

one lot = \frac{2}{3} \text{ acres }

So number of lots created can be found by dividing the total acres by acre of 1 lot

<em><u>Thus the formula is:</u></em>

\text{ Number of lots } = \frac{\text{ total acres }}{\text{ acre of 1 lot }}

<em><u>Substituting the values we get,</u></em>

\text{Number of lots } = \frac{4}{\frac{2}{3}} = 4 \times \frac{3}{2} = 6

Thus 6 lots can be created

6 0
4 years ago
If you toss a coin and spin the spinner, what is the probability of landing on heads and spinning blue?
ivann1987 [24]

Answer:

Step-by-step explanation:

There are two sides on a coin, heads and tails. So, the probability  of flipping heads is going to be 1/2, as there is one chance out of the two options that you will flip a head. As for spinning blue, there are 3 options that are blue out of the four color options given. So, the probability of spinning blue would be 3/4. Hope this helped :) Take this with a grain of salt, though. It's been a while since I reviewed probabilities.

4 0
3 years ago
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