Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+___

Answer:

The square root is around 1.414, so yes, it is between 1.4 and 1.5.

Step-by-step explanation:

Answer:

it is - 15 please mark me brainliest

Answer:

Step-by-step explanation:

1)First convert mixed fraction to improper fraction and them prime factorize

[tex]6\frac{1}{4} = \frac{25}{4}\\[/tex]

[tex]\sqrt{\frac{25}{4}}= \sqrt{\frac{5*5}{2*2}}= \frac{5}{2} = 2 \frac{1}{2} \\\\[/tex]

2)

[tex](2 \frac{1}{2}- 1 \frac{1}{2})*1 \frac{1}{7}=( \frac{5}{2}- \frac{3}{2})* \frac{8}{7}\\\\\\= \frac{2}{2}* \frac{8}{7}\\\\=1* \frac{8}{7}= \frac{8}{7}\\\\\\=1 \frac{1}{7}[/tex]

3) 0.00706 = 7.06 * [tex]10^{-3}[/tex]

4) 144 = 12 * 12

12 = 6*2

6 = 2*3

Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2

                                          = 2⁴ * 3²

5) To find LCM, prime factorize 96 & 144

96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3

144 = 2⁴ * 3²

LCM = 2⁵ * 3² = 32 * 9 = 288

6) HCF

105 = 7 * 5 * 3

135 = 5 * 3* 3 * 3

180 = 5 * 3 * 3 * 2 * 2

HCF = 5 * 3 = 15

7) 24 = 3 * 2 * 2 * 2 = 3 * 2³

   36 = 3 * 3 * 2 * 2 = 3² * 2²

   40 = 5 * 2 * 2 * 2 = 5 * 2³

LCM = 5 * 2³ * 3² = 5 * 8 * 9  = 360

HCF = 2² = 4

Difference = 360 - 4 = 356

8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all

1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15

Ans: 15

9) 36₇ = 102₅

10) 6.9163 = 6.916

I knew only this much

hope it's helpful

:)

Answer:

2√e√3√f / 3f

Step-by-step explanation:

√4√e / √3√f

2√e / √3√f  * (√3√f / √3√f)

2√e√3√f / 3f

Answer:

Step-by-step explanation:

Vertically opposite angles are equal

x = 25°

Answer:

D. Both functions are increasing but function g increases at a faster average rate

Step-by-step explanation:

Let's get the values of g(x) for each value of x

X= -2

g= -18(1/3)^-2 +2

g =-160

X= -1

g= -18(1/3)^-1 +2

g= -52

X= 0

g= -18(1/3)^0 +2

g= -16

X= 1

g= -18(1/3)^1 +2

g= -4

X= 2

g= -18(1/3)^2 +2

g= 0

Comparing the first and last values of both f and g we can see clearly that function g has a drastic change in it's rate.

Answer:

The sum and product of zeroes are 1 and 1/4, respectively.

Step-by-step explanation:

To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:

[tex]16\cdot s^{2}-16\cdot s + 4 = 0[/tex]

By the General Quadratic Formula:

[tex]s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}[/tex]

[tex]s_{1,2} = \frac{1}{2}[/tex]

Which means that zeroes are [tex]s_{1}=s_{2}=\frac{1}{2}[/tex].

The sum and product of zeroes are, respectively:

[tex]s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}[/tex]

[tex]s_{1}+s_{2} = 1[/tex]

[tex]s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}[/tex]

[tex]s_{1}\cdot s_{2} = \frac{1}{4}[/tex]

The sum and product of zeroes are 1 and 1/4, respectively.

Answer:

a. With replacement

1/2197

b. Without replacement

1/5,525

Step-by-step explanation:

Okay, here is a probability question.

The key to answering this question is by knowing the number of aces in a deck of cards.

There is 1 ace per suit, so there is a total of 4 aces per deck of cards.

So, mathematically the probability of picking an ace would be;

number of aces/ total number of cards = 4/52 = 1/13

a. Now since the action is with replacement; that means that at any point in time, the total number of cards would always remain 52 even after making our picks.

So the probability of picking three aces with replacement would be;

1/13 * 1/13 * 1/13 = 1/2197

b. Without replacement

what this action means is that after picking a particular card, we do not return the picked card to the deck of cards.

For the first card picked, we will be having a total of 4 aces and 52 total cards.

So the probability of picking an ace would be 4/52 = 1/13

For the second card picked, we shall be left with selecting an ace out of the remaining 3 aces and the total remaining 51 cards

So the probability will be 3/51 = 1/17

For the third and last card to be picked, we shall be left with picking 1 out of the remaining 2 aces cards and out of the 50 cards left in the deck.

So the probability now becomes 2/50 = 1/25

Thus, the combined probability of picking 3 aces cards without replacement from a deck of cards will be;

1/13 * 1/17 * 1/25 = 1/5,525

Using the binomial and the hypergeometric distribution, it is found that the probabilities are:

a) 0.0005 = 0.05%.

b) 0.0002 = 0.02%.

Item a:

With replacement, hence the trials are independent, and the binomial distribution is used.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem:

The probability is P(X = 3), then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.0769)^{3}.(0.9231)^{0} = 0.0005[/tex]

0.0005 = 0.05% probability.

Item b:

Without replacement, hence the trials are not independent and the hypergeometric distribution is used.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability is also P(X = 3), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,52,3,4) = \frac{C_{4,3}C_{48,0}}{C_{52,3}} = 0.0002[/tex]

0.0002 = 0.02% probability.

To learn more about the binomial and the hypergeometric distribution, you can take a look at https://brainly.com/question/25783392

Answer:

-3 or -1 is a valid value for x

Step-by-step explanation:

We start by cross multiplying;

So the expression becomes;

x^2 + 5x + 6 = 1(x + 3)

x^2 + 5x + 6 = x + 3

x^2 + 5x -x + 6-3 = 0

x^2 + 4x + 3 = 0

x^2 + x + 3x + 3 = 0

x(x + 1) + 3(x + 1) = 0

(x + 3)(x + 1) = 0

x + 3 = 0 or x + 1 = 0

x = -3 or x = -1

Hey there! I'm happy to help!

Let's represent each ticket with the variable t. For each ticket sold, there will be 3 dollars added to the total. So, if you multiply the number of tickets by 3, you will have your total.

This gives us the following equation.

3t=504

We could use this equation to find the number of tickets sold by dividing both sides of it by 3, which isolates the t, showing us that t=168.

Have a wonderful day!

Answer:

$504 / $3 = t

Step-by-step explanation:

t = total tickets sold

If each ticket cost $3 and the class raised $504, just divide the total amount by the cost.

I hope this helps you!  Please tell me if I am wrong!

Answer:

the distributive property. or distribution

hope this helps! :)

Answer:

4c - 14

Step-by-step explanation:

2/5 (10c -35)

Distribute

2/5 * 10c - 2/5 * 35

4c - 14

Answer:

See below.

Step-by-step explanation:

[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]

Answer:

The unit price of the problem is that one pack of greeting cards costs $1.85

Step-by-step explanation:

In order to find the unit rate, you have to divide the price by the quantity of the product. So, we will divide 7.40 by 4 so we can see the price of one pack.

7.40 ÷ 4 = 1.85

So, one pack of greeting cards costs $1.85 which is also our unit price.

Answer:

1.85

Step-by-step explanation:

First, divided the money ( $7.40 ) by the whole number ( 4 )

Then, you will receive your answer

Answer:

12x-8

Step-by-step explanation:

We can use PEMDAS to solve this expression.

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

The first step to do is use the distribute property to simplify the parenthesis.

The second step will be to simplify the exponent, but there aren't any so we can skip that step.

The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.

The fourth step will be to add -20 with 2. We then get -18.

And finally, we have our answer

(3x - 5)x4 +2

12x-20+2

12x-18

Answer:

"2.93BAR

LET X=2.93BAR

10X=29.393BAR

100X=293.93BAR

NOW WE WILL SUBTRACT THE FIRST EQUATION FROM THIRD EQUATION

​100X=293.93BAR

X= 2.93BAR

99X=291.00BAR

IT CAN ALSO BE WRITTEN LIKE

X=291/99"

This was an answer from the same question someone else asked.

This answer was given by grvbundela008p3f6id

Step-by-step explanation:

Answer:

c. the subtraction property if equality

Step-by-step explanation:

i just did this and got it right

The justification for step 3 in the solution process is the division property of equality option (A) the division property of equality is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

0.8a - 0.1 a =  a - 2.5

The above equation represents the linear equation in one variable.

Step 1: 0.7a = a - 2.5  (adding like terms)

Step 2: -0.3a = -2.5  ( subtraction property of equality)

Step 3: a =  8.3 (the division property of equality)

Thus, the justification for step 3 in the solution process is the division property of equality option (A) the division property of equality is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

2

Step-by-step explanation:

(2-2)x = 8

(0)x = 8

x = 8/0

no solution

The value of "b" that would result in the equation having no solution is A) 2.

To determine the value of "b" that would result in the given equation having no solution, we need to look at the coefficient of "x" in the equation (b - 2) and the constant term on the other side (8).

The equation is: (b - 2)x = 8

For the equation to have no solution, the coefficient of "x" (b - 2) must be 0. This is because when you multiply any number by 0, the result is always 0, meaning the left-hand side of the equation becomes 0x, which simplifies to 0. However, the right-hand side is 8, and 0 is never equal to 8.

Therefore, to make (b - 2) equal to 0, we can set:

b - 2 = 0

Adding 2 to both sides:

b = 2

So, the value of "b" that would result in the equation having no solution is A) 2.

To know more about equation"

https://brainly.com/question/29114761

#SPJ2

Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

19) : -7x=5.6⇒ x=-5.6/-7

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80

Answer:

-385y

Step-by-step explanation:

This expression cannot be factored with rational numbers, so -385y is your answer.

Answer: 25.6

First, notice that there is 1 adult and 2 children.

A normal adult ticket costs 24. But it's 1/3 off, so 24 * 1/3 = 8 off. That means with the Railcard, it only costs 24 - 8 = 16.

Next, one child ticket costs 12. But it's 60% = 3/5 off, so 12 * 3/5 = 7.2 off. That means with the Railcard, it only costs 12 - 7.2 = 4.8.

Remember there are 2 children, so we multiply by 2 to get 4.8 * 2 = 9.6 for the children.

Final answer: 1 adult + 2 children = 16 + 9.6 = 25.6.

Hope that helped,

-sirswagger21

Answer:

£25.60

Step-by-step explanation:

Adult tickets cost £24 and ⅓ is off the adult tickets according to the Family Railcard. That is:

24 × ⅓ = £8 is removed from the adult tickets. Therefore:

£24 - £8 = £16

Child tickets cost £12 and 60% is off the child tickets according to the Family Railcard. That is:

12 × 60/100 = £7.20 is removed from the child tickets. Therefore:

£12 - £7.20 = £4.80

To find the total cost of Mr. Brown spent:

1 child = £4.80

2 children = ?

4.80 × 2 = £9.60

1 adult = £16

£16 + £9.60

= £25.60

Mr. Brown spent £25.60 in total.

Answer:

2 means dollars per cupcake

Step-by-step explanation:

it makes sense because it says d=2c which is

money = $2 per cupcake

so if their are 2 cupcakes then

d=2*2 = $4

Answer:

144/441

Step-by-step explanation:

There are 18+24=42 total socks

There are 24 black socks

So the probability is (24/42)*(24/42)=12/21 * 12/21 = 144/441

Answer:

189

Step-by-step explanation:

Answer:

$23,302.50

Step-by-step explanation:

Answer:

x = y/( ku-1)

Step-by-step explanation:

Here in this question, we are asked to solve for x.

we have;

Ux = x+ u/ k

cross multiply;

k * Ux = x + y

kUx = x + y

kUx- x = y

x(KU-1) = y

x = y/( ku-1)

Answer:

The correct answer is

Step-by-step explanation:

11 square centimeters.

Hope this helps....

Have a nice day!!!!

Answer:

√137

Step-by-step explanation:

[tex](x_1, y_1) = (6, 0)\\(x_2, y_2) = (-5, 4)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d = \sqrt{(-5-6)^2+(4-0)^2}\\ d = \sqrt{(-11)^2+(4)^2}\\ d = \sqrt{121+16}\\ d = \sqrt{137}\: or \:11.7[/tex]

Answer:

(7/6, 0) and (0,-7/3)

Step-by-step explanation:

I think you mean x-intercept and y-intercept not z-intercept and y-intercept. The first step is to convert the equation to slope intercept form:

-6x+3y=-7

3y=6x-7

y=6/3x-7/3

y=2x-7/3

Now, to find the x-intercept we find the value of x when y is 0.

0=2x-7/3

7/3=2x

7/6=x so the x-intercept is (7/6,0)

Now, to find the y-intercept we find the value of y when x is 0.

y=2(0)-7/3

y=0-7/3

y=-7/3 so the y-intercept is (0,-7/3)

Answer:

x=6

Step-by-step explanation:

13(x-3)=39

Divide each side by 13

13/13(x-3)=39/13

x-3 = 3

Add 3 to each side

x-3+3 = 3+3

x = 6

Answer:

x=6

Step-by-step explanation:

expanding we get

13x-39=39

13x=39+39

13x=78

x=78/13

x=6

Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!