solve the equation x^2+6x+1=0 give your answers to 2 decimal places

Answer:

D. 10(6y - 9 - 2x)

Step-by-step explanation:

We want to factor 60y - 90 - 20x.

We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.

10 is common among all three:

10(6y - 9 - 2x)

We have factored it.

Answer:

c

d

Step-by-step explanation:

Answer:

Your graph is supposed to be like this so your answer is C

Step-by-step explanation:

Hope this is correct

HAVE A GOOD DAY

Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate y

5y = 20

y = 4

Step 6: Find x

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

Answer:

(23, 4)

Step-by-step explanation:

Begin by defining x.  

x - 5y = 3

x = 3 + 5y

Now substitute.

2(3 + 5y) - 5y = 26

6 + 10y - 5y = 26

5y = 20

y = 4

Now substitute y for 4.

x - 5y = 3

x - 5(4) = 3

x = 3 + 20

x = 23

Answer:

(-10, 3)

Step-by-step explanation:

You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.

Step 1: Rewrite 2nd equation

2y = 6

y = 3

Step 2: Plug in y

7x + 8(3) = -46

7x + 24 = -46

7x = -70

x = -10

Put it in coordinates and we have our final answer!

Answer:

11.x=4

12. m1=69

m2=69

m3=21

m4=69

m5=21

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

B.

This answer does not prove anything.

Answer:

I answered this for you already :)

Answer:

V = 3591.4 cm³

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 9.5 cm

V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]

V = [tex]\frac{10774}{3}[/tex]

V = 3591.4 cm³

Answer:

[tex]3591.4{cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]

Answer:

The 1st graph

Step-by-step explanation:

When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

Answer:

Y=15 when x=5

Step-by-step explanation:

if y= -6 when x= -2

So y=? When x=5

Y=15

Hope this helps

Good Luck

Step-by-step explanation:

First let us suppose the missing number x

I think we will cross multiply

5b2 = bx

5b2/b = bx

5b = x

Answer:

[tex]25[/tex] will go into the box.

Step-by-step explanation:

Square the denominator and the denominator to get the required expression.

[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]

Best Regards!

Answer:

Step-by-step explanation:

log8 62 = x1

8^x1= 62

8^2 =64 >62 so x1<2

log7 50=x2

7^x2=50

7^2=49<50 so x2>2

we have, x1<2  and 2<x2

x1<2<x2

x1<x2

log8 62<log7 50

Answer:

a rational number is an expression in which the numerator and denominator are polynomials. this is useful to know because often polynomials can be factorized. besides, if there is a variable in the denominator, there will be one or more restrictions.

example: (4x²-25)(2x+5) is simplified to 2x-5 with restrictions x≠-5/2

The cost of 3 kilograms of sugar in small bags is £7.20 and the cost of 3 kilograms of sugar in medium bags is £6.60.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To calculate the cost of 3 kilograms of sugar in small bags, we first need to determine how many 250-gram bags are needed to make 3 kilograms. To do this, we divide 3 kilograms by 250 grams/bag, which gives us 12 bags.

The cost of 3 kilograms of sugar in small bags is then 60p/bag x 12 bags = £7.20.

To calculate the cost of 3 kilograms of sugar in medium bags, we again need to determine how many 500-gram bags are needed.

Dividing 3 kilograms by 500 grams/bag gives us 6 bags.

The cost of 3 kilograms of sugar in medium bags is then £1.10/bag x 6 bags = £6.60.

Thus, 3 kilograms of sugar in small bags cost £7.20, whereas 3 kilograms of sugar in medium bags costs £6.60.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ5

Answer:

108 pi inches cubed

Step-by-step explanation:

The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.

Answer:

108

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 1/6=49/6

49/6*12=49*2=98

if this is the question 81÷6(81/6) ×12

243

EXPLANATION:

Answer: The midpoint is (1,0)

Step-by-step explanation:

Point B  has the coordinates (-1,-1) and point A has the coordinates (3,1). To find the midpoint point,find the mean average of  the x and y coordinates.

x coordinates.  [tex]\frac{-1+3}{2}[/tex] =  [tex]\frac{2}{2}[/tex] = 1  

y coordinates .   [tex]\frac{-1+1}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0  

Midpoint: (1,0)

Answer: rose = 7, shrub = 7

Step-by-step explanation:

First equation 10r + 4s = 98

r = (98-4s) / 10

Second equation 9r + 9s = 126

Substituting

9 (98-4s) / 10 + 9s = 126

9(49-2s) / 5 + 9s = 126

(441-18s) / 5 + 9s = 126

441 - 18s + 45s = 630

441+ 27s = 630

27s = 630 - 441

s = 189 / 27 = 7

Cost of shrub = 7

Cost of rose = (98 - 4s) / 10

= 98-28 = 70 / 10 = 7

Answer:

y+1 = 2(x-6)

Step-by-step explanation:

We have a point (6,-1) and a slope m=2

The point slope form of a line is

y-y1 = m(x-x1)

y- -1 = 2(x-6)

y+1 = 2(x-6)

Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)

Step-by-step explanation:

Disregard my explanation, its in the wrong form

Point-slope form is y = mx + b

They gave us m, 2. And they gave us the coords, (6, -1)

All you have to do is plug this info in to get:

[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]

Answer:

SOLUTION SET ={x/x<-4}

Step-by-step explanation:

x+7<3

in order to find the value of x

subtracting 7 on both sides

x+7-7<3-7

x<-4

I HOPE THIS WILL HELP YOU :)

Answer:

The answer is x < -4

Step-by-step explanation:

In order to solve the inequality, you have to subtract 7 to both sides, to make x the subject :

[tex]x + 7 < 3[/tex]

[tex]x + 7 - 7 < 3 - 7[/tex]

[tex]x < - 4[/tex]

Answer:

Step-by-step explanation:

(a) The ratio of adjacent terms is ...

  x^4/x^2 = x^2

The common ratio is x^2.

__

(b) For a geometric sequence with ratio r and first term "a", the sum to infinity is ...

  S = a/(1 -r)

Here, we have ...

  1/3 = x^2/(1 -x^2) . . . . fill in given values for a, r, S

  1 -x^2 = 3x^2 . . . . . cross multiply

  1/4 = x^2

  x = √(1/4)

  x = ±1/2

Answer:

530.66 cm²

Step-by-step explanation:

Area of a circle is 3.14 × radius²

3.14 × 13²

3.14 × 169

=530.66

The area of the circle is 530.66 cm².

Answer:

The answer is (approximately) [tex]530.66 cm^2[/tex]

Step-by-step explanation:

We are given the radius ([tex]13cm[/tex]).

Use the formula for the area of a circle: [tex]\pi r^2[/tex] (using [tex]3.14[/tex] for [tex]\pi[/tex])

Thus...

[tex](3.14)(13)^2[/tex]

We equals around 530.66.

Answer:

8/17

Step-by-step explanation:

Here, we should know that the sine of an angle is the ratio of the opposite to the hypotenuse

So in this case, 15 is the opposite and 17 is the hypotenuse

To find the cos of same angle, it is the ratio of the adjacent to the hypotenuse

We need the adjacent side

We can use Pythagoras’ theorem here

It states that the square of the hypotenuse equals sum of the squares of the two other sides

let’s say the adjacent is f

17^2 = 15^2 + f^2

f^2 = 17^2 -15^2

f^2 = 64

f = √(64)

f = 8

So the Cos C would be adjacent/hypotenuse = 8/17

Step-by-step explanation:

Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:

4x + 24 = 7x + 3

-3x = -21

x = 7°

Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:

4x + 24 + z = 180

4 * 7 + 24 + z = 180 (Substitute x = 7)

28 + 24 + z = 180

52 + z = 180

z = 128°

Answer:

f(½) = 1.73

f(¼) = 1.32

Step-by-step explanation:

You will find the complete question attached as a picture alongside the solution.

[tex]\sqrt{3}[/tex]y = f(x) = [tex]3^{x}[/tex]

When f(x) ⇒ f(½); that is, x = ½

y = [tex]3^{0.5}[/tex] = [tex]\sqrt {3}[/tex]

y = 1.7320508076 ≈ 1.73

y = 1.73 (to the nearest hundredth)

When f(x) ⇒ f(¼); that is, x = ¼

y = [tex]3^{0.25}[/tex] = [tex]\sqrt[4]{3}[/tex]

y = 1.316074013 ≈ 1.32

y = 1.32 (to the nearest hundredth)

Answer:

1/3

Step-by-step explanation:

f(√x+1)= 1/x

for f(2)

2= √x+1 ⇒ 4= x+1 ⇒ x= 3

f(2)= f(√3+1) and f(√3+1) = 1/3

so f(2)= 1/3

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = playing time of jazz CDs

SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  [tex]\frac{45-52}{7}[/tex]  = -1

   For 59 minutes, z-score is =  [tex]\frac{59-52}{7}[/tex]  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

Answer:

A

Step-by-step explanation:

Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.