factorize
a square -​

Answer:

D

Step-by-step explanation:

We have to find the vertex of m(t) = t² - 4t + 25

a = 1

b = 4

c = 25

To do that we first need to move the 25 to the other side by subtracting 25 from both sides

m(t) = t² - 4t + 25

- 25              - 25

m(t) - 25 = t² - 4t

To continue completing the square, we have to add 4 to both sides since it is the square of half of b.

m(t) - 25 + 4 = t² - 4t + 4

m(t) - 21 = t² - 4t + 4

Now, we already found the minimum amount of members, but let's finish the square completion to find the vertex.

m(t) - 21 = t² - 4t + 4

Factor the right side

m(t) - 21 = (t-2)(t-2)

m(t) - 21 = (t-2)²

Finish it by adding 21 to both sides

m(t) - 21 = (t-2)²

      + 21         +21

m(t) = (t-2)² + 21

With this vertex form equation, we can tell that the vertex is (2,21)

Meaning 21 is the lowest number for m(t) for this equation.

Answer:

Brainliest, please! (Answer below)

Step-by-step explanation:

The basic form for any quadratic function is:

ax^2 + bx + c.

The constant of the 1st term, the x^2 constant, is a, the constant of the second term, the x constant, is b, and the constant, the third term, is c. There are some instances where there will not be a b or c. For example, x^2 + 2, or 3x^2 - 4x. However, there must always be an a, or else the function isn't quadratic.

Answer:

60 is the correct answer

hope it helps

Answer:

110

Step-by-step explanation:

150+50-90= 110

so therefore the answer is 110

Answer:

B There should be lines drawn through the inner vertices as well

Step-by-step explanation:

The answer is B There should be lines drawn throu the inner verticesas well Because

those red lines are from inner vertices

Answer:

53240 should be divided by 5 to make it a perfect cube.

Step-by-step explanation:

The cost of the room before the tax is X.

To get the total cost they multiply the cost of the room x by 1 + sales tax rate.

Total cost would be x(1.05)

To find x divide total cost by 1.05:

Cost of room before tax: 172.20/1.05

Cost: $164

Hi! I'm happy to help!

To solve this, we first need to know what scientific notation is. Scientific notation is a way a number is written. You write it using a number ranging from 1 to <10. Then, you multiply this number by [tex]10^{x}[/tex].

In order to make this number reasonable for scientific notation, you have to move the decimal a certain amount of places. In this case you move it 3 places to the right to make your number 2.349. Since we moved it 3 places to the right our x will be -3. (If we'd moved it 3 places to the left, our x would be positive 3.)

So now, we insert our numbers:

2.349·[tex]10^{-3}[/tex]

You write 0.002349 like 2.349·[tex]10^{-3}[/tex], when it is in scientific notation.

I hope this was helpful, keep learning! :D

Answer:

1.315

Step-by-step explanation:

10.5 - 9.185 = 1.315

Answer:

at the origin, move it 3 units to the right, then raise the unit up by 8 units. Then the origin would be (0,4)

Step-by-step explanation:

Answer:

y = 116

x = 64

Step-by-step explanation:

.55x + .80y =.8* 160

x + y = 180

~~~~~~~~~~~~~~~~~~~~

x = 180-y

Answer:

0,81

Step-by-step explanation:

0.45 x 0.3 x 6

= 0,135 x 6

= 0,81

[tex] = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} [/tex]

Answer:

solution:

here,

or, (2x+30)°=(3x+20)°

or,2x+30°=3x+20°

or, 2x+3x=30°+20°

or, 5x=50°

or, x=50°÷5

so that: x=10° ans

Answer: sorry i just know no.2

Step-by-step explanation:

2) = soln

h = ?

p = 5

b =9

[tex]h^2 = p^2 + b^2\\h^2 = 3^2 + 9^2\\or, h^2 = 9+81\\or, h^2 = 90\\so, h = \sqrt{90} \\\\[/tex]

Let the angle be x

so

tan x = p/b

tan x = 5/9

x = [tex]tan^{-1} (5/9)[/tex]

so, x = 29.054

rounding off to ten

x = 29.1

now

let the another angle be y

so

90+y+29.1 = 180

29.1 + y = 180-90

y = 90-29.1

so, y = 60.9

the missing side is √90 and missing angles are 29.1° and 60.9°

Answer:

hundredth:0.3800

thousand:0.4000

tenth:0.3780

Answer:

Inductive reasoning is the opposite of deductive reasoning. Inductive reasoning makes broad generalizations from specific observations. Basically, there is data, then conclusions are drawn from the data. ... Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false.

Step-by-step explanation:

Answer:

it's hard to tell the exact question being asked...

y = [tex]\sqrt{3x} + 3[/tex]

or

y = [tex]\sqrt{3x+3}[/tex]

if y = [tex]\sqrt{3x} + 3[/tex] then Domain is [0 ,∞ )  

if  y = [tex]\sqrt{3x+3}[/tex] then Domain is [-1 ,∞ )  

Step-by-step explanation:

Answer:

equation=35+6.95h=c

5 hours=  $69.75

6 hours= 76.7

7 hours= 83.65

8 hours= 90.6

Step-by-step explanation:

the equation is found by adding 35 (the cost of the machine) and 6.95 times how many hours. To find the hours after 5 just add 6.95 every time.

Answer:

35+6.95h=c

5 hours=  $69.75

6 hours= 76.7

7 hours= 83.65

8 hours= 90.6

Step-by-step explanation:

35+6.95h=c

5 hours=  $69.75

6 hours= 76.7

7 hours= 83.65

8 hours= 90.6

Answer:

[tex] {x}^{4} + x {}^{2} + 1 \\ \\ {x}^{4} + 2 {x}^{2} - {x}^{2} + 1 \\ \\ (x {}^{4} + 2 {x}^{2} + 1) - {x}^{2} \\ \\ ( {x}^{2} + 1) {}^{2} - {x}^{2} \\ \\ ( {x}^{2} + 1 + x)( {x}^{2} - x + 1) \\ \\ ( {x}^{2} + x + 1)( {x}^{2} - x + 1)[/tex]

Answer:

The slope is just 1.

Step-by-step explanation:

Rise 1, up 1. so 1 over 1 just equals 1

Answer:

m∠RQS = 72°

m∠TQS = 83°

Step-by-step explanation:

m∠RQS +m ∠TQS = m∠RQT

The two angles combine to make a larger angle

So

m∠RQS = (4x - 20)

m∠TQS = (3x + 14)

(4x - 20) + (3x + 14) = 155

Group the Xs and the constants

4x + 3x - 20 + 14 = 155

Combine like terms

7x - 6 = 155

Add 6 to both sides

7x = 161

Divide by 7 on both sides

x = 23

Check:

4(23) - 20 + 3(23) + 14 = 155

92 - 20 + 69 + 14 = 155

155 = 155

But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.

m∠RQS = 4(23) - 20 = 72°

m∠TQS = 3(23) + 14 = 83°

Checking:

72 + 83 = 155

The new price offers price is less than the offer of 20% discount.

Given that,
Jamil buys a video game for 20% off the original price. He pays $36, excluding sales tax. One week later, he sees an advertisement for $10 off the original price. This is the new sales price.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
percentage of the price paid = 1 - 0.2 = 0.8
Let the original price be x,
According to the question,
36 = 0.8 (x)
x = 36/0.8
x = $45
Since the original price is $45,
As of the new price, the price is $10 so the price becomes $35 which is less than a 20% discount.

Thus, the new price offers price is less than the offer of 20% discount.

Learn more about percentages here:

brainly.com/question/13450942

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Answer:

16

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

Answer:

Answer:

The slope should be calculated using the formula [tex](7 - 9) / (1 - 3)[/tex] instead of the one that was proposed in the question.

Step-by-step explanation:

The slope of a line in a cartesian plane is the rate at which [tex]y[/tex] changes with respect to [tex]x[/tex].

For this line, the value of [tex]y[/tex] increased (vertically) from [tex]7[/tex] at [tex](1,\, 7)[/tex] to [tex]9[/tex] at [tex](3,\, 9)[/tex] as the value of [tex]x[/tex] increased (horizontally) from [tex]1[/tex] to [tex]3[/tex].

In other words, [tex]y[/tex] changed by [tex](9 - 7)[/tex] while [tex]x[/tex] changed by [tex](3 - 1)[/tex].

The slope of the line (rate at which [tex]y[/tex] changes with respect to [tex]x[/tex]) would be:

[tex]\displaystyle \frac{\text{rise}}{\text{run}} = \frac{(9 - 7)}{(3 - 1)} = \frac{(7 - 9)}{(1 - 3)}[/tex].

In general, for a line that goes through [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex], where [tex]x_{1} \ne x_{2}[/tex]:

[tex]\begin{aligned}\text{slope}&= \frac{(y_1 - y_2)}{(x_1 - x_2)} = \frac{(y_2 - y_1)}{(x_2 - x_1)}\end{aligned}[/tex].

The choose 1.

[tex]4 {x}^{3} {y}^{2} \sqrt[3]{x} [/tex]

I hope I helped you^_^

The simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

When we have indices in the form [tex]ax^{2/3}[/tex] , To find the cube root of the (ax)².

This can be expressed mathematically as

[tex](\sqrt[3]{ax} )^2[/tex]

From the given expression

[tex](8x^5 y^3)^{2/3}\\\\(\sqrt[3]{(8x^5 y^3)})^{2}\\\\4x^2 y^2\sqrt[3]{x}[/tex]

Thus, the simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].

Learn more about an expression here:

https://brainly.com/question/1249625

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Answer:

[tex] \frac{ {x}^{7} + 2x - 64 }{x} [/tex]

Step-by-step explanation:

[tex] {x}^{6} - 64 \div x + 2[/tex]

➡️ [tex] {x}^{6} - \frac{64}{x} + 2[/tex]

➡️ [tex] \frac{ {x}^{7} - 64 + 2x }{x} [/tex]

➡️ [tex] \frac{ {x}^{7} + 2x - 64 }{x} [/tex]