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Novosadov [1.4K]
3 years ago
5

NEED HELP PLEASE ALSO I NEED EXPLANATIONS TO THESE PROBLEMS I WILL MARK BRAINLIEST.

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Answer:

a) to determine how much Carl gets per hour, divide earnings by hours.

45 / 3 = 15

$15 per hour

b) Carl earns more per hour, because 15 is greater than 12.

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What are the solution(s) of x2-4-0?
Elanso [62]

Answer:

For x^2 - 4 = 0, x  = 2, or x = - 2.

Step-by-step explanation:

Here, the given expression is :

x^2 - 4 = 0

Now, using the ALGEBRAIC IDENTITY:

a^2 - b^2 = (a-b)(a+b)

Comparing this with the above expression, we get

x^2 - 4 = 0  = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0

⇒Either (x-2) = 0 , or ( x + 2) = 0

So, if ( x- 2)   = 0 ⇒ x =  2

and if ( x + 2) = 0   ⇒ x = -2

Hence, for x^2 - 4 = 0, x  = 2, or x = - 2.

4 0
3 years ago
Read 2 more answers
Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a
maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

18.75= 1.25x +3.75y

Multiply the whole equation by 4 to remove the decimals:

75= 5x +15y

Simplify by dividing the whole equation by 5:

15 = x + 3y

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

x +3y= 15 -----(2)

x= -3y +15

\begin{tabular}{|c|c|c|c|} \cline{1-4}x &  -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0
3 years ago
Read 2 more answers
When 5x2+2=4x is solved using the quadratic formula, what are the values of a,b, and c?
viktelen [127]

Hey there,

<u>What </u><u>are </u><u>the </u><u>values </u><u>of </u><u>a,</u><u> </u><u>b </u><u>and </u><u>c?</u>

5x² + 2 = 4x

5x² + 2 - 4x = 4x - 4x

5x² - 4x+ 2 = 0

<em>Quadratic </em><em>général </em><em>e</em><em>quation</em><em>:</em>

ax² + bx + c = 0

  • a = 5
  • b = -4
  • c = 2

I hope this helps ✅(◠‿◕)

3 0
2 years ago
Help please! Will mark you as Brainliest!
shutvik [7]

Answer:

21

Step-by-step explanation:

5 0
2 years ago
Help me please this is due tomorrow and I do not understand the assignment
denis-greek [22]

Answer:

4 and 5 not functions 6 function

Step-by-step explanation:

In a function, each x value can only have one y value. To test this, you can try the vertical line test. Put a vertical line on the function; if it touches only one point the graph is a function. For graph 4, the x value of 3 has y values of 1 and 4 so it is not a function. For graph 5, the x values of 1 and 5 have many y values so the graph isn't a function. For graph 6, each x value has only one y value so it is a function.

5 0
2 years ago
Read 2 more answers
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