Which symbol correctly compares the two fractions? Use >, <, or =. Select the correct choice from the drop down. 2/4 Choose... 3/8

To find the solutions of quadratic equation, there are two ways to do which are:

Step 1

- Factor the expression.

To factor the expression, refer below:

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]

For bx and ax, both can be common-factored. Therefore

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]

From the above, we conclude that:

From the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.

[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]

Because in the middle term, it is -x which is negative, we have to let the highest number become negative.

From the factored expression:

Then we replace the standard equation with factored form.

[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]

For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!

Hence

[tex] \displaystyle \large{ x = - 5, 6}[/tex]

Therefore, the solutions are x = -5, 6.

Answer:

according to the dark spots which shows where each number goes to, it would be D.-2

Answer:

x = 1

Step-by-step explanation:

2/x = 2^(x)

x = 1

hope that helps

Answer:

45 and 5 are the dimensions of the block of land.​

Step-by-step explanation:

2(x + y) = 100, x + y = 100/2, y = (50 - x)

xy = 225

x (50 — x) = 225

0 = x^2 — 50x + 225

0 = (x — 45) (x -5)

45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.

Answer:

jordan drinks 4.5 cup of water

Answer:

Option C.

Step-by-step explanation:

Notice that only option B and C involves the vectors in transformation

[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]

However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.

Answer:

18 and 2

Step-by-step explanation:

18-2=16

18+2=20

Hi ;-)

[tex]\{x-y=16\\+\{x+y=20\\--------\\2x = 36 \ \ /:2\\\boxed{x=18}\\18+y=20 \ \ /-18\\\boxed{y=2}[/tex]

These numbers are 18 and 2.

Answer:

4000+0+80+2×0.1

Step-by-step explanation:

after expanding, /means division so you diving

Answer:

7/17

Step-by-step explanation:

Answer:

.01 times

Step-by-step explanation:

Answer:

a + 4(n-1)

Step-by-step explanation:

The first term is a+4, the second term is a+8, the third term is a+12, etc.

A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as

4 * (n-1) + a

Answer:

g. 19/25

Step-by-step explanation:

19/25 = .76, or approximately .8 -- none of the other options come as close as option g.

Answer:

k = 70

Step-by-step explanation:

Since we have been given the value of x to be -ve5 (-5),

we multiply 6 and -5( value of x). Which gives;

-30.

Then add the answer (-30) to 100.

-

K = -30 + 100

= 100 - 30

=70

Note;

(+ * + = +)

( + * - = -)

(- * - = +)

I hope this helps you.

Answer:

[tex]k=70[/tex]

Step-by-step explanation:

[tex]k=6x+100[/tex]

[tex]x=-5[/tex]

[tex]k=6(-5)+100[/tex]

Remove parentheses:- [tex]\left(-a\right)=-a[/tex]

[tex]k=-6\times 5+100[/tex]

Multiply [tex]6\times5= 30[/tex]

[tex]k=-30+100[/tex]

Add [tex]-30+100=70[/tex]

[tex]k=70[/tex]

OAmalOHopeO

Answer:

15

Step-by-step explanation:

x*x = 9*9 + 12*12

--> x = 15

Hence commission will be 7%

[tex]\\ \rm\longmapsto 23458\times \dfrac{7}{100}[/tex]

[tex]\\ \rm\longmapsto \dfrac{164206}{100}[/tex]

[tex]\\ \rm\longmapsto 1642.06[/tex]

Vito Avido's commission on $23,458 in sales is $1466.06.

Here, we have to calculate Vito Avido's commission on $23,458 in sales, we'll break down the sales amount into different ranges and apply the respective commission rates for each range.

For the first $5,000 of sales: 5% commission

Commission = 5% of $5,000 = 0.05 * $5,000 = $250

For the next $15,000 of sales: 6.5% commission

Commission = 6.5% of $15,000 = 0.065 * $15,000 = $975

For the remaining amount over $20,000: 7% commission

Sales above $20,000 = $23,458 - $20,000 = $3,458

Commission = 7% of $3,458 = 0.07 * $3,458 = $241.06

Now, add up the commissions from each range:

Total Commission = $250 + $975 + $241.06 = $1466.06

Vito Avido's commission on $23,458 in sales is $1466.06.

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Answer:

B. Find the area of the triangle PQR.

Answer:

Directly, it would be 96/100. However,  we can reduce it to become 48/50 = 24/25.

(underlined is simplest answer)

24/25

Step-by-step explanation:

96%

=96/100

=24/25

answer

9514 1404 393

Answer:

  (c)  16.5 cm^2

Step-by-step explanation:

The area of each triangle is given by the formula ...

  A = 1/2bh

Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2

Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2

The difference in area is ...

  22.5 cm^2 -6 cm^2 = 16.5 cm^2

Answer:

{(4, -7), (-2, -1), (-7,4), (9, -1)}

Step-by-step explanation:

Every other set of ordered pairs has an x-value that has more than one y-value. This is against the rules of a function. Therefore, {(4, -7), (-2, -1), (-7,4), (9, -1)} represents a function.

If we consider the ordered pair (0,0) then only the graph still represents a function.

In a function, there can not be two different values of x corresponding to the same value of y.

Here, the points on the graph are (0,0), (-3,1), (1,3) and (3, 1).

If we consider point (-3,1) then there will be two points corresponding to the same y value i.e. (-3,1) and (3, 1).

The values of x for a single value of y.

i.e. y = 1.

So, if we consider the ordered pair (0,0) then only the graph still represents a function. Therefore, the correct answer is option (a) (0,0).

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answer

−>0(1+5)/2

hope it helps

Answer:

100.5

Step-by-step explanation:

As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5

Answer:

$13,125

Step-by-step explanation:

The value of the interest that will accrue on this loan will be;

⇒ $13,125

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

You and your family are planning a vacation of a lifetime around the world that will cost $25,000.

And, You borrowed this amount from your bank with an annual interest rate of 10.5%.

Now,

Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.

Hence, The total interest amount after five years is,

⇒ 5 × (10.5% of $25,000)

⇒ 5 × (10.5/100 × 25,000)

⇒ 5 × 2,625

⇒ $13,125

Thus, The total interest amount after five years = $13,125

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Answer:

98005

Step-by-step explanation:

ninety-eight thousand = 98000

five = 5

together = 98005

Answer:

Solution given:

Equation of line is:

y=-⅔x

comparing above equation with

y=mx+c

we get

m=-⅔

So

Answer:

slope is -2/3

Step-by-step explanation:

I. It's linear equation

    y = mx + b

when y is output, x is input, m is slope and b is addition.

The statment above is y = -2/3x + 0

So -2/3 is slope or m.value

Hope that help :D

Answer:

C

Step-by-step explanation:

for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign

The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.

A function is a law that relates a dependent and an independent variable.

The function p(x) has point (-3, 1 )

An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x

The point that will be in the inverse function of (x,y) is (y,x)

(-3,1) -----> ( 1,-3)

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Answer:

1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35

Hence she should price the first card with a 19.99% APR

Answer:

x = - 6, y = - 29

Step-by-step explanation:

Elimination:

2*(-5x + y = 1) = -10x + 2y = 2

9x - 2y = 4 = + (9x - 2y = 4) =

-x = 6

x = -6

9(-6)-2y=4

-54-2y=4

-2y=58

y=-29

Answer:

A. No, the sale price was 1.21 higher than it should have been

Step-by-step explanation:

First find the discount

111 * 11%

111 * .11

12.21

Subtract this from 111

111-12.21

98.79

The sale price should have been 98.79

100-98.79

1.21

Answer:

12:14

Step-by-step explanation: