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4 years ago

7

Solve for x.

1 answer:

Daniel [21]4 years ago

4 0

Answer:

$x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}$

Step-by-step explanation:

$-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}$

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Lindsey Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 814 p

baherus [9]

Answer:

The number of free throws, two-point throw, and three-point throw are 135, 173, and 111 respectively.

Step-by-step explanation:

Let x,y, and z are the numbers of two-point field goals, numbers of three-point field goals, and the number of free-throws (one-point goal) respectively.

The total points= 814

$\Rightarrow 2x+3y+z=814\;\cdots(i)$

As the number of two-point goals was 49 less than double the number of three-point field goals she made.

$\Rightarrow x=2y-49 \;\cdots(ii)$

Again, the number of free goals was 38 less than the number of two-point field goals she made.

$\Rightarrow z=x-38\;\cdots(iii)$

From equations (i) and (iii)

2x+3y+x-38=814

$\Rightarrow 3x+3y=852$

$\Rightarrow x+y=284$

$\Rightarrow 2y-49+y=284$ [using equation (ii)]

$\Rightarrow 3y=333$

$\Rightarrow y=111$

From equation (ii),

$x= 2\times111-38=173$

From equation (iii),

$z=173-38=135$ .

Hence,

The number of free throws, z= 135

The number of two-point throw, x=173

The number of three-point throw, y=111.

3 0

3 years ago

Solve. 10x^2 = 6 + 9x10x 2 =6+9x10, x, start superscript, 2, end superscript, equals, 6, plus, 9, x Choose 1 answer: Choose 1 an

yulyashka [42]

Answer:

Option B.

Step-by-step explanation:

If a quadratic equation is defined as

$ax^2+bx+c=0$ .... (1)

then the quadratic formula is

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

The given equation is

$10x^2=6+9x$

It can rewritten as

$10x^2-9x-6=0$ .... (2)

On comparing (1) and (2) we get

$a=10,b=-9,c=-6$

Using quadratic formula we get

$x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(10)(-6)}}{2(10)}$

$x=\dfrac{9\pm \sqrt{81+240}}{20}$

$x=\dfrac{9\pm \sqrt{321}}{20}$

Therefore, the correct option is B.

6 0

4 years ago

Read 2 more answers

1+4=5<br /><br> 2+5=12<br /><br> 3+6=21<br /><br> 8+11=?

san4es73 [151]

Next time make it more easyer

3 0

4 years ago

The graph of ƒ(x) = -√x is shifted to the right five units. The domain of the function represented by this graph is x ≥>≤<

Mars2501 [29]

Answer:

Domain = [5,∞)

Step-by-step explanation:

Given: $f(x)=-\sqrt{x}$

We are given that f(x) is shifted right by 5 units.

Rule : f(x)→f(x-b)

The graph f(x) shifted b units right

So, using rule : $-\sqrt{x}$ → $-\sqrt{x-5}$

So, $g(x)=-\sqrt{x-5}$

Now to find domain:

$x-5>0$

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So, Domain = [5,∞).

8 0

3 years ago

What is the circumference of a circle whose diameter is 4.8 cm?

DaniilM [7]

Answer:

15.072

Step-by-step explanation:

Circumference = πD

= 4.8π

= 15.079644737231

6 0

3 years ago