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3 years ago

How do I solve 14x+5=105

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Answer:7.14

Don’t rely on me I tried. Might be wrong but there’s an app called photo math and it’ll help with equations just like this.

Step-by-step explanation:subtract 5 from 5 and subtract 5 from 105 because you want to get X by itself. There for 14x equals 100. Then divide both by 14. 14 cancels out and you get your answer.

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Using a graphing utility, find the exact solutions of the system. Round to the nearest hundredth and choose a solution to the sy

Margaret [11]

Answer:

Part 1) The exact solutions are

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ and $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Part 2) (1.79, 8.58)

Step-by-step explanation:

we have

$y=x^{2} +3x$ ----> equation A

$y=2x+5$ ----> equation B

we know that

When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

Find the exact solutions of the system

equate equation A and equation B

$x^{2} +3x=2x+5\\x^{2} +3x-2x-5=0\\x^{2} +x-5=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-5=0$

$a=1\\b=1\\c=-5$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-5)}} {2(1)}$

$x=\frac{-1\pm\sqrt{21}} {2}$

The solutions are

$x_1=\frac{-1+\sqrt{21}} {2}$

$x_2=\frac{-1-\sqrt{21}} {2}$

Find the values of y

First solution

For $x_1=\frac{-1+\sqrt{21}} {2}$

$y=2(\frac{-1+\sqrt{21}} {2})+5$

$y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}$

The first solution is the point $(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$

Second solution

For $x_2=\frac{-1-\sqrt{21}} {2}$

$y=2(\frac{-1-\sqrt{21}} {2})+5$

$y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}$

The second solution is the point $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Round to the nearest hundredth

First solution

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ -----> $(1.79,8.58)$

$(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$ -----> $(-2.79,-0.58)$

see the attached figure to better understand the problem

6 0

4 years ago

Jesse is playing a game with a number cube with faces numbered 1 through 6. What is the probability of rolling a number that is

lana [24]

Answer:

The probability of rolling a number that is even and a multiple of 3 is $\frac{1}{6}$

Step-by-step explanation:

The total possible outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}

Now, let E: Event of getting an even number and a multiple of 3

So, out of all the outcomes, {6) is the ONLY possible favorable outcome.

$\textrm{P(E)} =\frac{\textrm{Number of favorable outcomes }}{\textrm{Total number of outcomes}}$

or, $P(E) = \frac{1}{6}$

Hence, the probability of rolling a number that is even and a multiple of 3 is $\frac{1}{6}$

8 0

3 years ago

Tanya bought a bunch of bananas that weighed 2 pounds 14 ounces. How much is this. A) 30 ounces B)46 ounces C)16 ounces D)38 oun

koban [17]

Answer:

B) 46 ounces

Step-by-step explanation:

1 pound is 16 ounces, so 16*2 = 32 + 14 = 46!

8 0

3 years ago

Read 2 more answers

Anthony has a points card for a movie theater. He receives 85 rewards points just for signing up. • He earns 2.5 points for each

ArbitrLikvidat [17]

Equation: 2.5x + 85 = 100

Answer: x = 6

8 0

3 years ago

Read 2 more answers

Choose the correct equation for the line shown on the graph?

fomenos

Answer:

y=-1/4x-1

How to find the slope

To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.

In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.

Slope: -1/4x

How to find the y-intercept

To find the y-intercept, you need to look at where the line crosses y.

In this graph the line crosses y at -1.

Y-intercept: -1

Final equation: -1/4x-1

3 0

2 years ago