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2 years ago

Solve for x this is hard:(

Mathematics

1 answer:

OleMash [197]2 years ago

8 0

Answer:

x is 9

Step-by-step explanation:

since they are vertical angles, they are congruent. We make an equation putting each one behind the equal sign (7x+3=10x-24) and we solve.

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Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 pe

pshichka [43]

Answer:

Step-by-step explanation:

Step one:

let us first compute the tuition and books for the two years

we are told that the tuition is $5,500 per year

For the two years,the tuition will be 5,500*2= $11,000

Step two:

we need to calculate the cost of transportation for the two years also

in two years there are 24 months

if Lakita will spend $100 per months

then in 24 months Lakita will spend= 24*100= $2400

Hence her education cost her in total is

=$11,000+$2400

=$13,400

8 0

2 years ago

Which of these rational numbers is also an integer?

dexar [7]

Answer:

6/3

Step-by-step explanation:

An integer is a whole number, that is not a fraction. All of the numbers are fractions, but if you simplify them, you see that 6/3=2. 2 is a whole number, and therefore an integer.

3 0

3 years ago

Read 2 more answers

Joel can read around 16 sentences per minute of his current novel. He wants to finish his reading before the movie comes out nex

Ainat [17]

Answer:

2.7 hours or 2 hrs, 42 min

Step-by-step explanation:

to find the total number of sentences remaining we can multiply 130 sentences times 20 pages remaining to get

2,600 sentences

if we divide that number by 16 we'll get the number of minutes he needs to finish the novel

2600/16 = 162.5 minutes which, when divided by 60, is 2 7/10 hours

7/10 = 42/60 so it comes out to 2.7 hours or 2 hrs, 42 min

3 0

2 years ago

Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat

zavuch27 [327]

Answer:

The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term $x^2$ , which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently:

We recall that the x-position of the vertex for a quadratic function of the form $f(x)=ax^2+bx+c$ is given by the expression: $x_v=\frac{-b}{2a}$

Since in our case $a=1$ and $b=5$ , we get that the x-position of the vertex is: $x_v=\frac{-b}{2a} \\x_v=\frac{-5}{2(1)}\\x_v=-\frac{5}{2}$

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = -5/2:

$y_v=f(-\frac{5}{2})\\y_v=(-\frac{5}{2} )^2+5(-\frac{5}{2} )+4\\y_v=\frac{25}{4} -\frac{25}{2} +4\\\\y_v=\frac{25}{4} -\frac{50}{4}+\frac{16}{4} \\y_v=-\frac{9}{4}$

This is a negative value, which points us to the case in which there must be two real solutions to the equation (two x-axis crossings of the parabola's branches).

We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the $x_v=-\frac{5}{2}$ . Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.