solve the equation
7x^2+21=0

Answers

Answer 1
Subtract 21 from both sides
7x^2=-21
Divide by seven on both sides
X^2=-3
Square root both sides

***X= square root of -3***
:)

Related Questions

Which ratio is the odd one out?
6:24
4:16
1:4
3:12
8:31

Answers

Answer:

8:31

Step-by-step explanation:

all of them are equal with 1:4 except 8:31

Write the equation of the line meets the following conditions. Use point-slope form.
y-y₁ = m(x-x₁)
5. slope = 3 and (4,-2)
6. m = -3/2and f(-5) = 7
7. f(4) = -8 and f(-3) = 12

Answers

The equation of the line that meets the following conditions are as follows;

5. y + 2 = 3(x - 4).

6. y - 7 = -3/2(x + 5)

7. y + 8 = -20/7(x - 4).

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

At data point (4, -2) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 3(x - 4)

Part 6.

At data point (-5, 7) and a slope of -3/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7 = -3/2(x + 5)

Part 7.

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (12 + 8)/(-3 - 4)

Slope (m) = -20/7

At data point (4, -8) and a slope of -20/7, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 8 = -20/7(x - 4).

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Determine whether the given limit leads to a determinate or indeterminate form. HINT [See Example 2.]
lim x→+[infinity] 4−x
Evaluate the limit if it exists. (If you need to use [infinity] or −[infinity], enter INFINITY or −INFINITY, respectively. If the limit does not exist, enter DNE.)
If the limit does not exist, say why. (If the limit does exist, so state.)

Answers

we can still express its behavior as x approaches positive infinity by stating that the limit is equal to -∞.

To determine whether the given limit leads to a determinate or indeterminate form, we must first examine the limit as x approaches positive infinity:

lim (x→+∞) (4-x)

As x becomes infinitely large, the expression (4-x) becomes increasingly negative, approaching negative infinity. Since the limit approaches a specific value, in this case, -∞, it is considered a determinate form.

The given limit, lim (x→+∞) (4-x), is a determinate form because as x approaches positive infinity, the expression (4-x) becomes increasingly negative, ultimately approaching negative infinity.

The limit of the given expression, lim (x→+∞) (4-x), is a determinate form and evaluates to -∞.  about existence, the limit does not exist in the conventional sense, as it does not approach a finite value. However, we can still express its behavior as x approaches positive infinity by stating that the limit is equal to -∞.

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For a two tailed hypthosis eveluatiing a perason correlation, what is stateed by the null hypthossis?

Answers

For a two tailed hypothesis evaluating a Pearson correlation, the null hypothesis  states that :

The population correlation is zero.

Null hypothesis:

H0 : ρ = 0

Alternative hypothesis:

Ha : ρ ≠ 0

Thus,

The population correlation is zero.

What does the term "null hypothesis" mean?

The null hypothesis is a common statistical theory that asserts that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

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Please help me! I need this answer ASAP! I don’t understand how to do it

Please help me! I need this answer ASAP! I dont understand how to do it

Answers

(11/17)^2 is condensed form and 121/289 is the answer. To multiply fractions, both multiply the numerator and denominator

eleven and twelve hundredths in decimal form

Answers

Answer:

11.12

Step-by-step explanation:

Answer:

11.12

Step-by-step explanation:

eleven=11

twelve hundredths= 0.12

eleven and twelve hundredths= 11.12

Using the image below, solve for x.
x+8
20
2x-5
22.5

Using the image below, solve for x.x+8202x-522.5

Answers

The calculated value of x in the similar triangles is 16

How to calculate the value of x in the image

From the question, we have the following parameters that can be used in our computation:

The figure

The value of x can be calculated using

(x + 8)/20 = (2x - 5)/22.5

Cross multiply the equation

So, we have

22.5(x + 8) = 20(2x - 5)

When evaluated, we have

x = 16

Hence, the value of x is 16

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The optimal amount of x1, x2, P1, P2 and income are given by the
following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I
=4189 The new price of P1 is the foll

Answers

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Out of110110students,6666areabsentabsent. What percentage of the students areabsentabsent?

Answers

16.5

110110/6666=16.5

How many and what type of solutions does 5x2−2x+6 have?

1 rational solution

2 rational solutions

2 irrational solutions

2 nonreal solutions

Answers

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Will give Brainliest!!!

Layla is going to drive from her house to City A without stopping. Layla plans to drive at a speed of 30 miles per hour and her house is 240 miles from City A. Write an equation for D,D, in terms of t,t, representing Layla's distance from City A tt hours after leaving her house.

Answers

Answer:

her distance would be 0 after 8 hours since 8*3 = 24 and just add a zeor behind the 24 from the 30

Step-by-step explanation:

When rotated about its center, a regular hexagon has _______ rotational symmetries. in addition to rotational symmetry, a regular hexagon has _____ lines of reflectional symmetry.

Answers

When rotated about its center, a regular hexagon has 6 rotational symmetries. in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

What is Polygon?

a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

When a regular hexagon is rotated about its center, it has 6 rotational symmetries, one for each angle of 60 degrees.

In addition to rotational symmetry, a regular hexagon also has 6 lines of reflectional symmetry. Each line of symmetry passes through the center of the hexagon and two opposite vertices, dividing the hexagon into two congruent halves.

Hence, when rotated about its center, a regular hexagon has 6 rotational symmetries. in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

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When finding the area of a quadrilateral, what operation would I use and why?

Answers

Use the formula width x height = area. If the width is 4 inches and the height is 2 inches, the area equals 8 inches squared.

what is 3 and 1/5 as a decimal

Answers

Answer:

3.2

Step-by-step explanation:

1/5=0.2

3 + 0.2 = 3.2

simplify the expression

simplify the expression

Answers

the simplified version should be -2.

What is the area, in square centimeters, of the isosceles trapezoid below?

What is the area, in square centimeters, of the isosceles trapezoid below?

Answers

Answer:

The Area=122.4^2

What is the area, in square centimeters, of the isosceles trapezoid below?

Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b

Answers

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

HELPPP!!!! I DONT HAVE MUCH TIME TO TURN THIS IN!!!!!

HELPPP!!!! I DONT HAVE MUCH TIME TO TURN THIS IN!!!!!

Answers

Answer:

AC=DF

Step-by-step explanation:

You just need that the last sides are congruent so that we know the two triangles are congruent through SSS. Hope this helps!!

what's pi means for a repeating decimal

Answers

Pi is an irrational number, which means it cannot be represented as a simple fraction, and those numbers cannot be represented as terminating or repeating decimals. Therefore, the digits of pi go on forever in a seemingly random sequence.

2.1Simplifying Expressions: Problem 1 (1 point) Simplify the following expression. 6- 4(x - 5)-

Answers

The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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i think its one but im not sure

i think its one but im not sure

Answers

Answer: Commutative property.

Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.

Let me know if this is right! :)

The sum of two consecutive numbers is 25. What is the largest of the consecutive numbers? Type a numerical answer in the space provided.

Answers

In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

How can the the largest of the consecutive numbers be calculated?

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.

Answers

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

It takes John an average of 18 minutes each day to commute to work. What would you expect his average commute time to be for the week?

We were told that the average (i.e. expected value) of the commute time is 18 minutes per day: E(Xi) = 18. To get the expected time for the sum of the ve days, we can add up the expected time for each individual day:

E(W)=E(X1+X2+X3+X4+X5)(2.5.9)
=E(X1)+E(X2)+E(X3)+E(X4)+E(X5)(2.5.10)
=18+18+18+18+18=90minutes(2.5.11)
49(a) 100% - 25% - 60% = 15% of students do not buy any books for the class. Part (b) is represented by the first two lines in the table below. The expectation for part (c) is given as the total on the line yiP(Y=yi)
. The result of part (d) is the square-root of the variance listed on in the total on the last line: σ=Var(Y)−−−−−−√=$69.28
.

The expectation of the total time is equal to the sum of the expected individual times. More generally, the expectation of a sum of random variables is always the sum of the expectation for each random variable.

Answers

The standard deviation of Y is $8.32.

Based on the given information, we can expect John's average commute time for the week to be 90 minutes. This is found by adding up the expected time for each individual day, which is 18 minutes per day.

For the second part of the question, we know that 100% - 25% - 60% = 15% of students do not buy any books for the class. The table provided represents part (b). The expectation for part (c) is the total on the line yiP(Y=yi), which we do not have enough information to calculate as we do not know the values of yi or P(Y=yi).

For part (d), we are given the variance of Y as $69.28. To find the standard deviation, we take the square root of the variance: √($69.28) = $8.32.

Therefore, the standard deviation of Y is $8.32.

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a. x^3+6x^2y+12xy^2+8y^3
b. x^2+y^2+z^2+2xy-2xz-2yz​

Answers

Answer:

Please make me as brain list and i am new in this app

Step-by-step explanation:

a)  (((x3)+((6•(x2))•y))+(12x•(y2)))+23y3

b) x2+y2+z2-2xy+2xz-2yz

=x^2+y^2+z^2-2xy+4-2yz

=x^2+y^2+z^2-2xy+4-2yz

find the equation of the parabola in both standard form and general form with vertex (0,0) , axis of symmetry is the x-axis, and length of the latus rectum is 5.

Answers

The equation for a parabola is x = 4y²p ÷ 5 in its vertex form, and its standard form x = (5 ÷ 4p) × y².

The parabola's standard form may be stated on a form in geometry,

x = Ay² + By + C

and could be changed to represent it in its vertex form,

x = (1 ÷ 4p)(y - k)² + h

where:

H is the vertex's x-coordinate.

The vertex's y-coordinate is given by k.

The latus rectum measures at 4p.

h = 0

k = 0

4p = 5 (positive because it opens to the right)

The equation of the parabola in standard form, x = Ay² + By + C

x = (5 ÷ 4p)(y - 0)² + 0

x = (5 ÷ 4p) × y²

The equation is then converted to standard form and simplified.

x = 4y²p ÷ 5

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convert 2 Bigha into kattha ​

Answers

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

which graph can be used to find the solution to x^2-4x+4=2x+1+x2

Answers

Answer:

Solutions: x=0.5

Step-by-step explanation:

HELP ME ASAP THIS IS DUE IN A LITTLE BIT AND I DON'T UNDERSTAND PLS HELP.
The last one is two PLS HELP ME THIS IS DUE IN A LITTLE BIT.

HELP ME ASAP THIS IS DUE IN A LITTLE BIT AND I DON'T UNDERSTAND PLS HELP.The last one is two PLS HELP
HELP ME ASAP THIS IS DUE IN A LITTLE BIT AND I DON'T UNDERSTAND PLS HELP.The last one is two PLS HELP
HELP ME ASAP THIS IS DUE IN A LITTLE BIT AND I DON'T UNDERSTAND PLS HELP.The last one is two PLS HELP

Answers

Answer:

17) B; 12)H; 9)D; 10)F

Step-by-step explanation:

The circumference of a circular track is 154m. Finid the diameter of the track​

Answers

Answer:

49.0197m

Step-by-step explanation:

The formula is d = c / π, allow d to be diameter and c to be circumference

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