Which expression correctly sets up the quadratic formula with x^2+1=2x-3

the graphing would be easier to use because it demonstrates the numbers that are in the situation

Answer:

tan²x + tan x - 12 = 0 (1)

suppose: tan x = t

(1)=> t² + t - 12 = 0

a = 1    b = 1     c = -12

⇒ Δ = b² - 4ac = 1 + 48 = 49 > 0 => has 2 solutions

=> t = [tex]\frac{1+\sqrt{49} }{2}=\frac{8}{2}=4[/tex]

or t = [tex]\frac{1-\sqrt{49} }{2}=\frac{-6}{2}= -3[/tex]

because t = tan x => tan x = 4 or tan x = -3

because x ∈ [0;2pi) => with tan x = 4 => x = arctan(4)  or x = arctan(4) + pi

                                     with tan x = -3 => x = arctan(-3) + pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.79

Answer:

560, 600, 620, 630, 640, 650

Step-by-step explanation:

Just counted from 10, I guess.

Answer:

width is 33

Step-by-step explanation:

width (b) =?

length(l)=3

perimeter (p)=?

now,

perimeter = 2(l+b)

or,72= 2(3+ b)

or,72/2= 3+b

or,36= 3+b

or,36-3= b

or,33= b

therefore width is 33

Complete question :

Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"

Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.

If a population is 5000

Answer:

blank A: 3450

blank B: 3750

Step-by-step explanation:

Number of inhabitants surveyed = 880

Population size = 5000

Error margin = 3%

Percentage that answered 'yes' = 72%

The confidence interval :

Mean ± Error margin

Lower Bound = 72% - 3% = 69% = 0.69

Upper bound = 72% + 3% = 75% = 0.75

Since the question want us know the overall inhabitants of the kingdom who fall between this interval :

Blank A = lower boundary = 0.69 * 5000 = 3450

Blank B = upper boundary = 0.75 * 5000 = 3750

Answer:

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

The college data has large outliers which skews the data, therefore the IQR is better measure of spread.

The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.

Answer:

2.4 or 2 2/5 bottles of water

Answer:

Your answer would be D. 100 kg

Step-by-step explanation:

I took the test and got it correct

Hope this helps

Good luck!

The required zero that has not significant is 100, 10.0, and 1.30.

Given that,
To determine the number that has zeros that are not significant.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,

Zeros between non-zero numbers are significant.
So it contains 2.05,

Zeros to the left of the first non-zero digit are not significant.
It contains 100, 10.0. and 1.30

Thus, the required zero that has not significant is 100, 10.0 and 1.30

Learn more about the number system here:

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Answer:

C.

Step-by-step explanation:

please mark me brainliest!!

Answer:

The answer is A

Step-by-step explanation:

Denominator *100* is higher

Answer:

$2.5389

Step-by-step explanation:

Given data

Cost of lunch = $2.34

Tax= 8.5%

Let us compute the cost of the tax

=8.5/100*2.34

=0.085*2.34

= $0.1989

Hence the total is = 0.1989+2.34

=$2.5389

Answer:

40

Step-by-step explanation:

The teacher ordered 5 pizzas with 8 slices each which is 5*8=40

Answer:

its c or d

Step-by-step explanation:

Answer:

supplementary angles

Step-by-step explanation:

Answer:

1. x = 10 , y = 2

Step-by-step explanation:

hope it helps ☺️

Answer:

Nativism is the political position of preserving status for certain established inhabitants of a nation as compared to claims of newcomers or immigrants. It is characterized by opposition to immigration based on fears that the immigrants will distort or spoil existing cultural values.

Step-by-step explanation:

Answer:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

The exponential function can be written with the general equation:

[tex]f(x)=A\cdot r^x[/tex]

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = 4[/tex]

This gives the correct value of f(0)=4.

Substituting in the fourth function:

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

[tex]\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = \frac{1}{2}[/tex]

This choice is wrong

Correct choice:

[tex]\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}[/tex]

Answer:

The expression equivalent to 3 to the 5th power is 3^5.

The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

The solution is: The expression equivalent to 3 to the 5th power is 3^5.

Here, we have,

The number 3 raised to the 5th power is represented through the expression 3 ^ 5,

which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),

which results in the number 243,

which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.

To learn more on Expression click:

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Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Answer:

1.75

Step-by-step explanation:

1.75 :) you can check your answer by multiplying by 3!

Brainliest would be appreciated

Answer:

13 / 4

Step-by-step explanation:

Answer:

[tex] \frac{a}{7} + \frac{a}{3} = 10 \\ \frac{(3a + 7a)}{21} = 10 \\ \frac{10a}{21} = 10 \\ a = \frac{(10 \times 21)}{10} \\ \boxed{a = 21}[/tex]

Answer:

[tex]a_{10}=\frac{5^{10}}{2^7} -1[/tex]

Step-by-step explanation:

[tex]a_{n}=a_1 . r^{n}-1[/tex]

Here

[tex]r=\frac{5}{2}[/tex]

[tex]a_1 =8[/tex]

For n=10 (tenth Term)

[tex]a_{10}=8(\frac{5}{2})^{10} -1[/tex]

[tex]a_{10}=\frac{5^{10}}{2^7} -1[/tex]

answer

x=6, y=-2

explanation

-2x + 8 = y -------equ 1

3x - y = 22 -------equ 2

u can use any of the simultaneous equation method

using elimination method

rearrange first from -------equ 1

-2x+8=y

-y-2x=-8

multiple through by -1

y+2x=8 -------equ 3

rearrange first from -------equ 2

3x-y=22

-y+3=22 ------equ 4

equate 3 and 4, adding them together

y+2x=8 -------equ 3

-y+3=22 ------equ 4

0+5x=30

5x=30

x=6------equ 5

replace 6 for x in any equation

using -------equ 3

y+2x=8

y+2(5)=8

y+10=8

y=8-10

y=-2

Answer:

(x, y)=(6, -4)

Step-by-step explanation:

-2x+8=y

3x-y=22

Substitute the given value of y into the equation 3x-y=22

3x-(-2x=8)=22

Solve the equation for x

x=6

Substitute the given value of x into the equation 3x-y=22

3x6-y=22

Solve the equation for y

y=-4

The possible solution of the system is the ordered pair (x, y)

(x, y)=(6, -4)

Check if the given ordered pair is the solution of the system of equations

-2x6+8=-4

3x6-(-4)=22

Simplify the equalities

-4=-4

22=22

Since all of the equalities are true, the ordered pair is the solution of the system

(x, y)=(6, -4)

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

$6,583.5

Step-by-step explanation:

Amanda's monthly salary increased by 4.5%. You can get the percentage by getting the increased amount in salary and dividing it by the previous salary of Amanda.

In order to get the new salary of Mary, you have to multiply the same percentage, 4.5%, to Mary's previous salary, $6,300. This will give you the amount that will be added to her new salary.

Mary's new salary is $6,583.5

Answer:

Vertical, Horizontal, and Diagonal

Step-by-step explanation:

5 lines of Symmetry.  

It has four lines of symmetry and four sides. A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.