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Studentka2010 [4]

2 years ago

3

Paige claims that the solution to the systems of linear equations y=2x-1 and -12x+3y=9 is (-2,-5). Which 3 methods could be used

to verify Paige claim?

1 answer:

saw5 [17]2 years ago

6 0

Answer:

1) Plug in ordered pair into both equations and check if they are solutions

2) Graph both equations and see if they intercept at the point (-2,-5)

3) Solve the problem again

Those would be my 3 personal methods, not sure what your answer choices are though.

You might be interested in

The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where

Ymorist [56]

Answer:

The linear function that models the population of bloater fish is y2 =

✔ –92.57x + 1,052

.

The linear equation that determines when the two populations were equal is

✔ –19.76x + 227 = –92.57x + 1052

.

The solution is x =

✔ 11.33

years.

Step-by-step explanation:

5 0

2 years ago

The table below shows the amount paid for different numbers of items. Determine if this relationship forms a direct variation. V

Elden [556K]

<h2>Answer/Step-by-step explanation:</h2>

Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.

The ratio of between y-variable and x-variable would be constant.

Direct variation can be represented by the equation, $y = xk$ , where k is a constant. Thus,

$\frac{y}{x} = k$

From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).

Thus, ratio of y to x, $\frac{0.50}{1} = 0.5$

k = 0.5.

If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into $\frac{y}{x} = k$ , should give us the same constant if proportionality.

Let's check:

When x = 2, and y = 1:

$\frac{y}{x} = k$ ,

$\frac{1}{2} = 0.5$ ,

When x = 3, y = 1.5:

$\frac{1.5}{3} = 0.5$ ,

When x = 5, y = 2.50:

$\frac{2.5}{5} = 0.5$ ,

The constant of proportionality is the same. Therefore, the relationship forms a direct variation.

5 0

2 years ago

The gas tank of the truck holds 30 gallons the gas tank of a passenger car holds 50% less how many gallons does it hold?

love history [14]

Answer:

15 gallons

Step-by-step explanation:

To find how much the passenger car holds, we need to first find what 50% of the trucks gas tank holds.

Truck Gas Tank = 30 gallons

Now we find how much 50% of 30 is:

50% = 0.50

Total = 30 x 0.50

Total = 15 Gallons

So the passenger car holds 15 gallons of gas.

4 0

2 years ago

Matt can buy and 8 ounce jar of salsa for $2.79 or a 15 ounce jar of salsa for $5.54 which jar has the best unit rate

sasho [114]

Answer:

8 ounce jar

Step-by-step explanation:

We divide the price by the number of ounces to find the unit rate or cost per one ounce.

2.79/8=0.34875

5.54/15=0.3693

The 8 ounce jar has the best unit rate with a lower cost per ounce.

5 0

2 years ago

For circle O, and m∠ABC = 55°. In the figure, ∠_____ and ∠____ have measures equal to 35°.

luda_lava [24]

Answer:

In the figure ∠ABO and ∠BCO have measures equal to 35°.

Step-by-step explanation:

<u><em>The complete question is</em></u>

For circle O, m CD=125° and m∠ABC = 55°

In the figure<____, (AOB, ABO, BOA) and <_____ (BCO, OBC,BOC) have measures equal to 35°

The picture in the attached figure

step 1

Find the measure of angle COB

we know that

$m\angle COB=arc\ CD$ ----> by central angle

we have

$arc\ CD=125^o$

therefore

$m\angle COB=125^o$

step 2

we know that

AB is a tangent to the circle O at point A

so

ABC and ABO are right triangles

In the right triangle ABC

Find the measure of angle BCA

Remember that

$m\angle BCA+m\angle\ ABC=90^o$ ---> by complementary angles in a right triangle

we have

$m\angle ABC=55^o$

substitute

$m\angle BCA+55^o=90^o$

$m\angle BCA=90^o-55^o=35^o\\$

step 3

In the triangle BCO

Find the measure of angle CBO

we know that

$m\angle CBO+m\angle COB+m\angle BCO=180^o$ ---> the sum of the interior angles in any triangle must be equal to 180 degrees

we have

$m\angle COB=125^o$

$m\angle BCO=m\angle BCA=35^o$ -----> have measure equal to 35 degrees

substitute

$m\angle CBO+125^o+35^o=180^o$

$m\angle CBO=180^o-160^o=20^o$

step 4

Find the measure of angle ABO

In the right triangle ABO

we know that

$m\angle ABC=m\angle CBO+m\angle ABO$ ----> by angle addition postulate

we have

$m\angle ABC=55^o$

$m\angle CBO=20^o$

substitute

$55^o=20^o+m\angle ABO$

$m\angle ABO=55^o-20^o=35^o$ ----> have measure equal to 35 degrees

therefore

In the figure ∠ABO and ∠BCO have measures equal to 35°.

3 0

2 years ago