Factorise x²+5x−6 the options are

(x+2)(x+3)

(x−1)(x+6)

(x+1)(x−6)

(x−2)(x+3)

Hey there! :)

Answer:

x = 1.117

Step-by-step explanation:

Graph the two equations:

p(x) = 5x² - 3

q(x) = 2x + 1

On the graph below, the positive point of intersection is at (1.117, 3.233).

Positive x-value = 1.117.

Answer:

the correct answer is 15011.428571

Step-by-step explanation:

=525.4 ÷ 0.035

=15011.428571

hope this works out!!!!

The division of decimal values 525.4 ÷ 0.035 = 15011.428571........

To divide decimals we make them integers by multiplying the numerator and denominator by 10ⁿ, where n is the number of decimal places in the numerator or denominator, whichever has more.

Then we follow the steps of normal numeric divisions.

In the question, we are asked to divide the equation 525.4 ÷ 0.035.

We can write this as 525.4/0.035.

Now, 0.035 has more decimal places, with n = 3, where n is the number of decimal places.

Thus, we multiply the numerator and denominator by 10³ = 1000.

Therefore, 525.4/0.035

= (525.4*1000)/(0.035*1000)

= 525400/35

= 15011 3/7

= 15011.428571........

Thus, the division of decimal values 525.4 ÷ 0.035 = 15011.428571........

Learn more about decimal division at

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Answer: 8 is the anwser

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

There are 3 numbers fitting the rule, 1, 2, and 6. There is a 3/6 chance rolling one of them or 50%.

Answer:

50%

Step-by-step explanation:

1 value> 5 and 2 values<3, out of total of 6

P (greater than 5 or less than 3) = 3/6= 50%

Answer:

D.

Step-by-step explanation:

To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.

h(x) = sqrt(2x^2 + 5x - 3)

= sqrt(0^2 + 5 * 0 - 3)

= sqrt(-3)

Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.

If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.

Your answer will be D.

Hope this helps!!

Answer:

A. 648

Step-by-step explanation:

The special shape has a length of 2.02 m (202 cm) and width of 1.22 m (122 cm).

Given a tile of 2 cm × 2 cm, and that a double row of tiles make a border.

For a single row border,  

the number of tiles required for its length = 202 /2 = 101

the number of tiles required for its width = 122/2 = 61

For a single row border, the total number of tiles for the perimeter of the special shape = 2 (101 + 61)

                       = 324

The number of tiles for a single row border is 324.

The number of tiles required to make the double row of tiles border = 2 (324)

                            = 648

The number of tiles required to make the border is at least 648.

Answer:

15

Step-by-step explanation:

If it was 20 × 4 = 80, 80 + 3 = 83 and 80 + 5 = 85 but neither of those numbers are divisible by either 6 or 7 so we know it's not 20 × 4. If we did 20 × 5 = 100, 100 + 3 = 103 and 100 + 5 = 105. Since 105 / 7 = 15 the answer is 15.

Answer:

15

Step-by-step explanation:

We try every possibility.

20 is multiplied either by 4 or by 5

20 * 4 = 80

20 * 5 = 100

then the product is increased either by 3 or by 5

80 + 3 = 83

80 + 5 = 85

100 + 3 = 103

100 + 5 = 105

the sum is divided either by 6 or by 7

None of the numbers are divisible by 6 since they are all odd.

Only 105 is divisible by 7.

105/7 = 15

Answer: 15

Full question:

Eighteen of 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?

Answer:

16/25

Step-by-step explanation:

Probability is the likelihood of an event happening and it is calculated as the number of favourable outcomes divided by the total number of possible outcomes. From the above we can calculate probability of finding a DVR that is not defective by adding up number of DVRS that are not defective in the DVRS(favourable outcomes) and dividing it by the total number of DVRS(total number of possible outcomes).

Non defective dvrs=total number of dvrs-defective dvrs=50-18=32

So probability here=non defective dvrs/total number of dvrs

=32/50=16/25

Answer

I will give you some hints and yea

Step-by-step explanation:

first try to figure out how much the quarters are you can first guess for example there were 8 quarters and ?nickels and work your way up and then you will get closer and closer to your answer  

Answer:

0.05n + 0.25(36 – n) = 6

Step-by-step explanation:

Answer:

Her speed in heavy traffic = 30 miles per hr

Her speed on light traffic = 24 + 30 = 54 miles per hr

Step-by-step explanation:

It takes Darline 20 minutes to drive to work in light traffic.  To come home when there is heavy traffic she uses 36 minutes.

The distance covered is the same.

Light traffic

speed = distance/time

speed = distance/20

speed = 24 + y

24 + y = distance/20

cross multiply

distance = (24 + y) × 20

distance = 480 + 20y

Heavy traffic

speed = distance/time

speed = distance/36

let speed = y

36y = distance

480 + 20y = 36y

480 = 36y - 20y

480 = 16y

y = 480/16

y = 30

Her speed in heavy traffic = 30 miles per hr

Her speed on light traffic = 24 + 30 = 54 miles per hr

Answer:

36 squared units

Step-by-step explanation:

So you can draw "made up lines" or I guess lines you draw yourself to create 2 rectangles. Check attachment.

The first rectangle is a square and has sides 3 and 3, so you get the area of 9.

The second, has sides 9 and 3, so you get the area of 27

Since you are trying to find the entire thing, you add 27 and 9 to get 36

192.

2(8+4)÷2(8+8) = 1(4+8)×(8+8)

1×12×16=192.

Answer:

Step-by-step explanation:

[tex]2(4 + 8) \div 2(8 + 8)[/tex]

Any expression divided by itself equals 1

[tex]1(4 +8) \times (8 + 8)[/tex]

Add numbers

[tex]1 \times 12 \times 16[/tex]

Any expression multiplied by 1 remains the same

[tex]12 \times 16[/tex]

Multiply the numbers

[tex]192[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Option A

Explanation:

the ratio of radii to volume is ^3 "to the third power"

so 5^3 : 9^3 would be the ratio for volumes

125:729

Answer:

1). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]

2). log(x - 1) + log5x = 2

3). ln(x + 5) = ln(x - 1) + ln(x + 1)

4). [tex]e^{x^2}=e^{4x+5}[/tex]

Step-by-step explanation:

1). ln(x + 5) = ln(x - 1) + ln(x + 1)

   ln(x + 5) = ln(x - 1)(x + 1)  [Since ln(a×b) = ln a + lnb]

   (x + 5) = (x- 1)(x + 1)

   x + 5 = x² - 1

   x² - x - 6 = 0

   x² - 3x + 2x - 6 = 0

   x(x - 3) + 2(x - 3) = 0

   (x + 2)(x - 3 ) = 0

   x = -2, 3

   But x = -2 is an extraneous solution.

  Therefore, x = 3 is the only solution.

2). [tex]e^{x^2}=e^{4x+5}[/tex]

  x² = 4x +5

  x² - 4x - 5 = 0

  x² - 5x + x - 5 = 0

  x(x - 5) + 1(x - 5) = 0

  (x + 1)(x - 5) = 0

  x = -1, 5

  Therefore, solution set is (-1, 5)

3). [tex]\text{log}_4(5x^2+2)=\text{log}_4(x + 8)[/tex]

   5x² + 2 = (x + 8)  

   5x² - x - 6 = 0

   5x² - 6x + 5x - 6 = 0

   x(5x - 6) + 1(5x - 6) = 0

   (x + 1)(5x - 6) = 0

   x = -1, [tex]\frac{6}{5}[/tex]

4). log(x - 1) + log5x = 2

    log(x - 1)(5x) = 2

    5x(x - 1) = 10² [if loga = b, [tex]a=10^{b}[/tex]]

    5x² - 5x - 100 = 0

    x² - x - 20 = 0

    x² - 5x + 4x - 20 = 0

    x(x - 5) + 4(x - 5) =0

    (x - 5)(x + 4) = 0

    x = -4, 5

But x = -4 is an extraneous solution.

Therefore, x = 5 is the only solution.

Answer:

These are vertical transformations because the parent function is being translated up and down which are vertical directions.

Answer:

life is a precious gift of GOD like see these days conditions too much people are dying  life is our test it is worth whoever we wonder we are not birds,stones,mountains,trees they are also surviving and we are too we have not to survive we have to live our life there must be a difference between humans and animals i know life is brutal,tough and hard than why is it tough brutal and hard because it is a test a common life also passes and a man who serves hummanity his life also passes but a man serving hummanity is always remembered

"your life is your message to the world make it inspiring"

life is worth and too much previous

to die is easier than to life we have to live because  we love challanges

Step-by-step explanation:

i hope this will help you :)

Answer:

Step-by-step explanation:

yeah

Answer:

12

Step-by-step explanation:

If we extend this triangle we see that it makes a right triangle with legs of 6 and 6. The area of that triangle is 1/2 * 6 * 6 = 18. The part that is not shaded is a right triangle with legs 6 and 2, it's area is 6 * 2 / 2 = 6. The shaded area is 18 - 6 = 12.

Answer:

E

Step-by-step explanation:

y’’ + 9y = sin(3x)

The characteristics equation is;

m^2 + 9 = 0

solving this we have 2 complex roots

m= -3i, 3i

Thus;

yh = Ccos(3x)+ Dsin(3x)

let yp = Axcos(3x) + Bxsin(3x)

Now, because we have sin(3x) and cos(3x) with constant coefficient in yh, option E is our answer

Answer:

Step-by-step explanation:

Her sample is of a portion/part of the population of jewelers in her town

Her sample is also biased and id not a representation of the population in that she sampled on the biggest jewelers without considering the smaller one which might possibly have the latest jewelry trends.

Answer: It is Bias and not representative

Step-by-step explanation:

Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

Step-by-step explanation:

Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients

Here, 7+5i is a complex number.

So, it conjugate ([tex]\overline{7+5i}=7-5i[/tex]) is also a zero of a polynomial function.

Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

The standard form of writing complex numbers with real and imaginary values is expressed as:

z = x + iy

The conjugate of the complex number will be y = x - iy

Given the polynomial 7 + 5i. If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

Learn more here: https://brainly.com/question/18018849

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 3/7 as a percent, we need to find a fraction

equivalent to 3/7 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have [tex]\frac{3}{7} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (3)(100) which is 300 is equal to (7)(n) or 7n.

So we have the equation 300 = 7n.

Next, dividing both sides of the equation by 7, we have 42.8571 = n.

So 3/7 is equal to 42.8571/100 or 42.8571%.

Answer:

r= 29.82

Step-by-step explanation:

r/7.1=4.2

r= 4.2*7.1

r= 29.82

Answer:

29.82         i did the unit test

Step-by-step explanation:

Answer:

None of the sides can be a triangle.

Step-by-step explanation:

Answer:

I don't think so

Step-by-step explanation:

Answer:

4.5 hours

Step-by-step explanation:

If you take both of their alone time

6 and 3

Add them together

Divide both of them By 2

Giving you your answer

It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the time that would take both Jane and Bill to clean the park, hence:

[(1/6) + (1/3)]t = 1

t = 2 hours

It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

[tex]\boxed{x^2 = 16}[/tex]

Step-by-step explanation:

Using Tangent Secant theorem:

(x)² = (2)(2+6)

x² = 2(8)

x² = 16

Answer:

(-1, 4)

Step-by-step explanation:

Answer: A

Step-by-step explanation:

(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.

4x+1-(x²-5)           [distribute -1]

4x+1-x²+5            [combine like terms]

4x-x²+6                [rewrite in the order of exponents]

-x²+4x+6

Answer:

2z+6 or 2(z+3) are the equivalent expressions

Step-by-step explanation:

z+(z+6)

opening the brackets

z+z+6

=2z+6

or if we take 2 as common the answer is

=2(z+3)

i hope this will help you :)

Answer:

Given that the expression is z+(z+6)

The equivalent expression to the give expression

From the given expression z+ (z+6)

z+ (z+6)

=z+z+6

Adding the like terms

=2z+6

Taking the common term 2 outside of the above expression

=2(z+3)

Therefore z+ (z+6)  =2(z+3)

Therefore the other given optional expressions are not equivalent to the given expression.

The option 2(z+3) is correct and it is the equivalent expression.

Hence the given expression z+ (z+6)  is equivalent to the expression 2(z+3)

Answer: A) 45%

Step-by-step explanation:

The question is incomplete. The complete question is

Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received 1/5 of the votes, Gilda received 10% of the votes, and Conroy received 1/4 of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive? A. 45\% B. 55\% C. 20\% D. 50\%

Solution:

The total percentage of the votes that is spread among the 4 contestants is 100%

Carl received 1/5 of the votes. It means that the percentage of votes that Carl received is

1/5 × 100 = 20%

Gilda received 10% of the votes.

Conroy received 1/4 of the votes. It means that the percentage of the votes that Conroy received is

1/4 × 100 = 25%

Therefore, if Kyla received all of the remaining votes, then the percentage of the votes that she received is

100 - (20 + 10 + 25) = 45%

Answer:

40%

Step-by-step explanation: