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3 years ago

12

Hey can you please help me posted picture of question

1 answer:

Debora [2.8K]3 years ago

4 0

We can use quadratic formula to determine the roots of the given quadratic equation.

The quadratic formula is:

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

b = coefficient of x term = -11
a = coefficient of squared term = 2
c = constant term = 15

Using the values, we get:
$x= \frac{11+- \sqrt{121-4(2)(15)} }{2(2)} \\ \\ 
x= \frac{11+-1}{4} \\ \\ 
x=3, x= 2.5$

So, the correct answer to this question are option B and D

You might be interested in

The moon is about 240,000 miles from earth earth what is the distance written as a whole number multiplied by a power of ten

Varvara68 [4.7K]

<span>This would be 24 X 10⁴</span>

7 0

3 years ago

At what point on the parabola y = 3x^2 + 2x is the tangent line parallel to the line<br> y = 10x −2?

oksian1 [2.3K]

Answer:

( $\frac{4}{3}$ , 8 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - 2 ← is in slope- intercept form

with slope m = 10

Parallel lines have equal slopes

then the tangent to the parabola with a slope of 10 is required.

the slope of the tangent at any point on the parabola is $\frac{dy}{dx}$

differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$ , then

$\frac{dy}{dx}$ = 6x + 2

equating this to 10 gives

6x + 2 = 10 ( subtract 2 from both sides )

6x = 8 ( divide both sides by 6 )

x = $\frac{8}{6}$ = $\frac{4}{3}$

substitute this value into the equation of the parabola for corresponding y- coordinate.

y = 3( $\frac{4}{3}$ )² + 2

= (3 × $\frac{16}{9}$ ) + 2

= $\frac{16}{3}$ + $\frac{8}{3}$

= $\frac{24}{3}$

= 8

the point on the parabola with tangent parallel to y = 10x - 2 is ( $\frac{4}{3}$ , 8 )

3 0

2 years ago

What is the domain and range of the relation shown in the table?

TEA [102]

Answer:

<u>domain: {10,15,19,32}</u>

<u>range:{5,9,-1}</u>

Step-by-step explanation:

As we know domain is the values of input and range is the values of output.

Here , x is the input and y is the output.

$\left[\begin{array}{cc}x&y\\10&5\\15&9\\19&-1\\32&5\end{array}\right]$

Thus the input values according to the given problem is : 10 ,15 , 19, and thus ,

⇒<em>The domain would accordingly be these four numbers : 10 , 15 , 19 , 32.</em>

<u>Note that we donot have any information regarding the other values of x.</u>

The range is : { 5,9,-1 } only as the 5 is repeated in two cases .

Range is unique and there must be not repetition. Thus the apt answer would be :

<em>domain: {10,15,19,32}</em>

<em>range:{5,9,-1}</em>

6 0

3 years ago

Quick is this right??? Answer and question in pic

Olin [163]

Answer:

-199

Step-by-step explanation:

put -6 in place of x in equation

3 0

3 years ago

At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes

RoseWind [281]

Answer:

- 8° per hour

Step-by-step explanation:

Given that:

Station A = - 6°

Station B = 2°

Rate of temperature change = x° / hour ; which is the same at both stations

Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;

Temperature change in Station A:

-6 + 3x

Temperature change in station B:

2 + 4x

Temperature change in A = temperature change in B

-6 + 3x = 2 + 4x

Collect like terms

3x - 4x = 2 + 6

- x = 8

x = - 8

Hence, the rate of temperature change x in both stations is - 8° per hour

8 0

3 years ago