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3 years ago

Find the value of x. If necessary, round to the nearest tenth.

Mathematics

1 answer:

Licemer1 [7]3 years ago

4 0

it should be about 4.9 inches the real number is 4.94974746831 inches

because 49=2x^2 which is also x = 7/the square root of 2

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Eli had $10 but he lost some of it. He mom doubled the money he had left. Eli wrote the expression 2(10-k) how much money he has

bezimeni [28]

Answer:

Step-by-step explanation:

According to the first expression:

2(10-k): where,

2:shows the double amount of money which ELI has

10:shows the amount of money which ELI had at the starting.

k:shows the amount of money which is lost.

10-k:shows the amount of money which ELI has after losing some amount.

According to the second expression:

20-2k where,

20:shows the twice of initial amount.

k: is the amount of money which is lost

2k:s hows the twice of amount which is lost

20-2k: shows the amount of money which is left with ELI after his mom gave him some money....

7 0

3 years ago

Solve This Using The Quadratic Formula: 3x^2+9x-6=0

aivan3 [116]

<h3>Therefore either $x = \frac{-3+\sqrt{17}}{2}$ or, $x = \frac{-3-\sqrt{17}}{2}$ </h3>

Step-by-step explanation:

$3x^2 +9x -6=0$ $x = \frac{-b\pm\sqrt{b^2- 4ac} }{2a}$

$\Leftrightarrow x = \frac{-9\pm\sqrt{9^2- 4.3(-6)} }{2.3}$ here a = 3 ,b = 9 and c= -6

$\Leftrightarrow x = \frac{-9\pm\sqrt{153} }{6}$

$\Leftrightarrow x = \frac{3(-3\pm\sqrt{17}) }{6}$

$\Leftrightarrow x = \frac{-3\pm\sqrt{17}}{2}$

Therefore either $x = \frac{-3+\sqrt{17}}{2}$ or, $x = \frac{-3-\sqrt{17}}{2}$

4 0

3 years ago

Solve the Equation 4(2x+1)=5x+9+3x?

Scorpion4ik [409]

8x+4=5x+9+3x

combine:5+3=8x

subtract 8x-8x=0

subtract 4 from 9=5

0=5

4 0

3 years ago

Need 2 more. 50 points!<br><br> Please show work, Thanks! :)

rjkz [21]

Answer:

1) C

2) C

Step-by-step explanation:

Question 1)

We want a parabola that has the vertex (-8, -7) and also passes through the point (-7, -4).

So, we can use the vertex form. Remember that the vertex form is:

$y=a(x-h)^2+k$

Where a is our leading co-efficient and (h, k) is our vertex.

We know that our vertex is (-8, -7). So, substitute this into the equation:

$y=a(x-(-8))^2+(-7)$

Simplify:

$y=a(x+8)^2-7$

Now, we need to determine the value of our a. To do so, we can use the point the problem had given us. We know that the graph passes through (-7, -4).

So, when x is -7, y is -4. Substitute -7 for x and -4 for y:

$(-4)=a((-7)+8)^2-7$

Solve for a. Add within the parentheses:

$-4=a(1)^2-7$

Square:

$-4=a-7$

Add 7 to both sides. Therefore, the value of a is:

$a=3$

So, our entire equation in vertex form is:

$y=3(x+8)^2-7$

Our answer is C.

Question 2)

We are given a graph and are asked to find the equation of the graph.

Again, let's use the vertex form. From the graph, we can see that the vertex is at (-2, 2). Let's substitute this into our vertex equation:

$y=a(x-(-2))^2+2$

Simplify:

$y=a(x+2)^2+2$

Again, we need to find the value of a.

Notice that the graph crosses the point (-1, 5).

So, let's substitute -1 for x and 5 for y. This yields:

$5=a((-1)+2)^2+2$

Solve for a. Add within the parentheses.

$5=a(1)^2+2$

Square:

$5=a+2$

Subtract 2 from both sides. So, the value of a is:

$a=3$

Therefore, our entire equation is:

$y=3(x+2)^2-2$

Our answer is C.

And we're done!

3 0

3 years ago

18-10x<-22 please help me

dmitriy555 [2]

X > 4
Hope It Helps :)

7 0

3 years ago