Using the discriminant, how many real solutions does the following quadratic equation have? X^2+6x+10=0

Answer:

1 hour 26 Minutes

Step-by-step explanation:

Tanya needs 2 hours to do the job.

Pat needs 5 hours to do this same job.

Tanya's rate  [tex]=\frac{1}{2}[/tex]

Pat's rate[tex]=\frac{1}{5}[/tex]

Let the number of hours it will take both of them =x

Rate when two of them work together  [tex]=\frac{1}{x}[/tex]

Therefore:

[tex]\frac{1}{2}+\frac{1}{5}=\frac{1}{x}\\$Taking lowest common multiple$\\\frac{5+2}{10}=\frac{1}{x}\\\\\frac{7}{10}=\frac{1}{x}\\\\$Cross multiply$\\7x=10\\x=1.43$ hours[/tex]

[tex]0.43 X 60 =25.8 \approx 26$ minutes[/tex]

Therefore: 1.43 hour = 1 hour 26 Minutes

It will take both of them approximately 1 hour 26 minutes to  the job.

Yes

It's correct

Sorry if I am incorrect

Answer:

No, he is not correct

Step-by-step explanation:

Evan said that he did 125% more in the second week.

So, it must be like 125% of 20 + 20 (Because he did 20 hours of work in the first week)

Now, Let's see whether it equals 25

=> 125% * 20 + 20

=> 125/100 * 20 + 20

=> 1.25*20 + 20

=> 25 + 20

=> 45

So, No, he is not correct

Rather he spent 25% more hours doing homework next week.

Answer: 81

Step-by-step explanation:

We know that to find the area of a square you have to square the side length.

So since we know that he area is 36 cm square, then we will find the square root of 36.

36/4= 9      Now we know that the side length is  9 and a square has four sides which are all equal. The perimeter is the distance around the shape.

So just multiply 9 by 9 to find the area

9*9 = 81

Answer:

The center  is (-8/3,0) and the radius is 1

Step-by-step explanation:

(x+8/3)^2 + y^2 = 1

We know the equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Rewriting

(x- -8/3)^2 + (y-0)^2 = 1^2

The center  is (-8/3,0) and the radius is 1

Answer: $25.96

Step-by-step explanation:

Fare = $22

Percent tip = 18%

Hi, to answer this question, first we have to multiply the fare paid by the tip percentage in decimal form (divided by 100 ):

Mathematically speaking:

22x (18/100) = 22 x 0.18 = $3.96 (tip amount)

Finally, we have to add the tip amount and the fare:

22 +3.96 = $25.96

Feel free to ask for more if needed or if you did not understand something.

Answer:

ur answer is in the calculator

$25.96

Step-by-step explanation:

multiply $22 by 1.18 or 118 percent

Answer:

4(x-5)(3x² +1)

Step-by-step:

Add and subtract the second term to the expression and factor by grouping.

Hope this helps!

Answer:

A. 41

Step-by-step explanation:

19 - (-8) - (-14) =

19+8+14

Remember: Two negatives=One positive ;)

27+14

41

A. 41

Answer:

[tex]\mathrm{A.} \: 41[/tex]

Step-by-step explanation:

[tex]19 - (-8) - (-14)[/tex]

[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]

[tex]19+8+14[/tex]

[tex]\mathrm{Add \: the \: numbers.}[/tex]

[tex]=41[/tex]

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides

-1 = x - 9

Step 2: Add 9 to both sides

x = 8

Answer: 48

Step-by-step explanation:

The share of sand in the mixture is 3/7

To make 112 kgs. of concrete, he will need

3/7 x 112 = 48 units of sand

Answer:

solution,

Ratio of cement:sand:aggregate

=1:3:3

Total of ratios=1+3+3

=7

Total concrete=112 kg

Amount of sand required:

[tex] \frac{ratio \: of \: sand}{total \: ratio} \times amount \: of \: concrete \\ = \frac{3}{7} \times 112 \\ = 48 \: kg[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Translate 3 units to the left

Step-by-step explanation:

Answer:

Your Perimiter is 42

Step-by-step explanation:

Distance from 7,5 to -7,5 is 14

Distance from -7,5 to -7,-2 is 7

Then we double both those numbers as it is a rectangle

2l + 2w = Per...

28 + 14 = 42

MARK AS BRAINLIEST

Answer:

False

Step-by-step explanation:

This is not necessarily true because there are 2 types of these triangles, a 40-70-70 triangle or a 40-40-100 triangle. Since their angle measures are different, they are not similar.

Answer:

568 m (squared)

Step-by-step explanation:

20*18=360

26*16=416

416/2=208

208+360=568

Step-by-step explanation:

[tex]area = lenght \times width \\ 18 \times 20 \times 16 \times 8 = 233280[/tex]

Answer:

32:  median

Step-by-step explanation:

Use the median.  Here the median is the middle value of the data string

8, 29, 32, 31, 33, that is, 32.  

Answer:

A

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form

with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus

[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]

Substitute this value into y

y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]

   = [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]

Since a > 1 then the vertex is a minimum, thus

minimum value = [tex]\frac{1}{6}[/tex] → A

Answer:

[tex] y-a= c(x-b)^2[/tex]

With the vertex [tex] V= (b,a)[/tex]

We see that b = -10 and a = 2 and then the vertes wuld be:

[tex] V= (-10,2)[/tex]

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

[tex] y-2 = \frac{1}{2} (x+10)[/tex]

And if we compare this expression with the general expression for a parabola given by:

[tex] y-a= c(x-b)^2[/tex]

With the vertex [tex] V= (b,a)[/tex]

We see that b = -10 and a = 2 and then the vertes wuld be:

[tex] V= (-10,2)[/tex]

And the best option is:

b. (-10,2)

Answer:

Yes.

Step-by-step explanation:

It is a function because it passes the vertical line test. Each x-value has just one y-value. If the relation had any x-values that had several y-values, it would just be a relation. But this one is a function.

Hope this helps!

Answer:

1.( l+w)

Step-by-step explanation:

The complete question is given below

Her partial work is shown below: p = 4l + 4w + 4h

= l + w + h

h =

Which expression should follow the subtraction in Hallie’s equation?

h=l+w

Answer is 1. (l +w)

Answer:

The ordered pair for the given equations is (5,2)

Step-by-step explanation:

We are given two equations in this problem.

2x - y = 8

y = x - 3

Plug in y for the first equation so we can find x.

2x - (x - 3) = 8

Distribute the negative to (x - 3).

2x - x + 3 = 8

Subtract x from 2x.

x + 3 = 8

Subtract 3 from both sides of the equation.

x = 5

Now that we have the value of x, then we can plug in x for the second equation to find y.

y = 5 - 3

Subtract 3 from 5.

y = 2

So, the ordered pair for this equation is (5, 2)

Answer:

27

Step-by-step explanation:

If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:

x + x + 8 + x - 9 = 56

3x - 1 = 56

3x = 57

x = 19

The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.

Answer:

[tex]\frac{1}{4}r[/tex]

Step-by-step explanation:

The amount of red pepper that Harvey has is r red peppers and one fourth as many orange peppers. What this means is that the number of orange pepper that Harvey has is one fourth the number of red peppers. Since the number of red pepper is r, therefore the number of orange pepper is given as:

Number of orange pepper = [tex]\frac{1}{4} \ of\ red\ pepper(r)[/tex]

[tex]Number\ of\ orange\ pepper=\frac{1}{4}r[/tex]

Answer:

x intercept is when y = 0, so when y is 0, x should be -9 or 8, so 4. is the only that satisfies it, therefore (-9,0)

Step-by-step explanation:

Follow me at "btracta"  on insta and we can talk

What's your instagram then?

Yes 80 followers following 10 is me

Answer:

The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.

Step-by-step explanation:

Given that farmer shall construct a rectangular fenced-in area and a side of the barn is one side of such area, the needed length of fencing is represent by the following perimeter equation ([tex]p[/tex]), measured in square yards:

[tex]p = 2\cdot l + w[/tex]

Where:

[tex]l[/tex] - Length of the rectangle, measured in yards.

[tex]w[/tex] - Width of the rectangule (side of the barn), measured in yards.

In addition, the equation of the fenced-in area ([tex]A[/tex]) is:

[tex]A = w\cdot l[/tex]

If [tex]p = 20\,yd[/tex], equation of area is now simplified as follows:

[tex]A = (20\,yd - 2\cdot l)\cdot l[/tex]

[tex]A = 20\cdot l - 2\cdot l^{2}[/tex]

The value of [tex]l[/tex] associated with the maximum area is obtained with the help of First and Second Derivative Tests. Firstly, first and second derivatives of the area function are determined:

[tex]A' = 20 - 4\cdot l[/tex]

[tex]A'' = -4[/tex]

Let equalize first equation to zero, second derivative indicates that critical value follows to an absolute maximum. Hence:

[tex]20-4\cdot l = 0[/tex]

[tex]l = 5\,yd[/tex]

The width of the rectangle is: ([tex]p = 20\,yd[/tex] and [tex]l = 5\,yd[/tex])

[tex]w = p - 2\cdot l[/tex]

[tex]w = 20\,yd - 2\cdot (5\,yd)[/tex]

[tex]w = 10\,yd[/tex]

And finally, the maximum area she can achieve is:

[tex]A = (5\,yd)\cdot (10\,yd)[/tex]

[tex]A = 50\,yd^{2}[/tex]

The farmer can achieve a maximum area of 50 square yards with 20 yards of fencing.

Answer:

Hey!

your answer is

7:15:9

Step-by-step explanation:

you can divide all of your original numbers by 8.

to double check, times the answer by 8

hope this helps

pls put brainliest

Step-by-step explanation:

[tex]x(x + 1) \leqslant 27 \\ {x}^{2} + x \leqslant 27 \\ {x}^{2} + x - 27 \leqslant 27 - 27 \\ {x}^{2} + x - 27 \leqslant 0[/tex]

so we got the equation

we solve it and we get:

(we floor the answers)

x = -5.72 -> -5

x = -4.72 -> 4

so:

maximum answer: 4 and 5

minimum answer: -5 and -4

Answer:

x² + 3x  - 28

Step-by-step explanation:

Division of the polynomial by (x + 4), evaluate at h = - 4

- 4 | 1   7   - 16   - 112

          - 4   - 12     112

     --------------------------------

      1     3     - 28    0 ← remainder = 0

quotient is x² + 3x - 28

Answer:

Option (B)

Step-by-step explanation:

By using the property of a triangle → " Sum of interior angles of a triangle is 180°"

Therefore, (4x - 40) + (x + 20) + x = 180°

(4x + x) + (-40 + 20) = 180°

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 40

Therefore, value of x will be 40.

Option (B) will be the correct option.

Answer:

(a) Three numbers that could be Jenny's favorite number are;

2, 8, and 18

(b) Yes

Step-by-step explanation:

(a) Let Jenny's favorite integer be X, we have;

√X × √2 = Y where Y is an integer

Therefore, the square root of Jenny's favorite number has a factor of √2 which gives the possible options as

2 with √2 being the square root

8 with √8 = 2·√2

18 with √18 being 3·√2

(b) By dividing each of the square root of the possible Jenny's favorite number, we have;

i) For the integer 2 we have;

√2/√2 = 1 which is an integer

ii) For the integer 8 we have;

√8/√2 = 2·√2/√2 = 2 which is an integer

ii) For the integer 18 we have;

√18/√2 = 3·√2/√2 = 3 which is an integer

Answer:

-8

Step-by-step explanation:

(-2)2+9(-2)+14

-4+-18+14

-22+14

=-8

Hope this helps

Answer:

0

Step-by-step explanation:

f(x) = x^2 + 9x + 14, when x = -2.

f(x)=(x+7)(x+2)

f(x)=(-2+7)(-2+2)=0