Which ordered pair is the best estimate for the solution to the system

Answer:

The x-intercepts of the graph of the equation y = x² + 4x - 5 is -5 and 1

Step-by-step explanation:

Given:

y = x² + 4x-5

To Find:

x-intercepts

Solution:

Finding the value of the x  by using quadratic formula

x  = [tex]\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

On substituting the values ,

x = [tex]\frac{-4 \pm \sqrt{(4)^2 -(4(1)(-5))}}{2(1)}[/tex]

x = [tex]\frac{-4 \pm \sqrt{16 -(-20)}}{2}[/tex]

x = [tex]\frac{-4 \pm \sqrt{36}}{2}[/tex]

x = [tex]\frac{-4 \pm6 }{2}[/tex]

[tex]x = \frac{-4-6}{2}[/tex]                     [tex]x = \frac{-4+6}{2}[/tex]

[tex]x = \frac{-10}{2}[/tex]                       [tex]x = \frac{2}{2}[/tex]

x =  -5                       x =  1

Answer:

y = 36x

Step-by-step explanation:

Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = [tex]\frac{1}{3}[/tex], y = 12, then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{12}{\frac{1}{3} }[/tex] = 12 × 3 = 36

y = 36x ← equation of variation

Answer:

the answer would be is 6

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

[tex]357 \: m = 3.57 \times {10}^{2} \: m[/tex]

The wavelength of the radio wave in scientific notation is 3.57 x 10^2 m.

The wavelength of a radio wave is given as 357 m. Since this is already a simple number, converting it to scientific notation would be 3.57 x 102 m. Here, '3.57' is the significant part of the number (the significand) and '2' is the power to which 10 is raised (the exponent). In scientific notation, we aim to express numbers between 1 (inclusive) and 10 (exclusive).

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

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The worth of boat after 11 years is $ 3159.3013

Solution:

Given that,

Boat costs $16600 and decreased in value by 14% per year

To find: Worth of boat after 11 years

The formula for decreasing function is given as:

[tex]y = a(1-r)^t[/tex]

Where,

y is the value after "t" years

t is the number of years

a is the initial value

r is decreasing rate in decimal

From given,

a = 16600

t = 11

[tex]r = 14 \% = \frac{14}{100} = 0.14[/tex]

Substituting the values we get,

[tex]y = 16600(1-0.14)^{11}\\\\y = 16600(0.86)^{11}\\\\y = 16600 \times 0.1903\\\\y = 3159.3013[/tex]

Thus the worth of boat after 11 years is $ 3159.3013

Answer:

81

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

So 3 and 11 make 33 and subtract that from 66. That gives you 33. Add 51 and you get 84.

Answer:

The coordinates of B are (7.67,12)

Step-by-step explanation:

Let the coordinates of B are (h,k).

Now, point P(3,6) partitions AB into a ratio of 3 : 2 and A is found at (-4,-3).

We have to find B(h,k).

Now, from the formula of coordinate geometry we have,

[tex]3 = \frac{2(- 4) + 3h}{3 + 2}[/tex]

⇒ 3h - 8 = 15

⇒ 3h = 23

⇒ h = 7.67

And, [tex]6 = \frac{2(- 3) + 3k}{2 + 3}[/tex]

⇒ 3k - 6 = 30

⇒ 3k = 36

⇒ k = 12

Therefore, the coordinates of B are (7.67,12) (Answer)

Answer:

Raquel spend 2 hr 15 Minutes at the volley ball game and 1 hour at the lunch

Step-by-step explanation:

Time Spent at the Volley ball match

The difference of 11:45 and 9 :30 is 2:15 which indicate she spend 2 hour and 15 minutes at the lunch.

sameway , from 12 pm to 1 pm , it encounter a difference of 1 Hour.

hence , she spent 1 hr at lunch.

Answer:

all real values of x except x=5

Step-by-step explanation:

If [tex]f(x) = x2 – 25 and g(x) = x – 5,[/tex]

Then the domain is all real values of x except [tex]x=5[/tex].

The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5), and irrational numbers such as √3, π(22/7), etc., are all real numbers.

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Answer:

x = 3 or x = -3

Step-by-step explanation:

If x^2 - 9 = 0 we transfer 9 to the right side of the equation and it's change negative sign to positive while doing so

now we have x^2 = 9 the square of a number must be equal to a positive number in real numbers

but the root can be either negative or positive so we say x = 3 or x = -3

Answer:

The answer is b. $ 74.75

Step-by-step explanation:

Data:

Let x be the value of items to be insured.

1. if the items are more than $ 3 000 it means that x is greater than  $  3000 and the annual premium will be 23 % of the total value.

2. if the items are less or equal to  $ 3 000, it means that x ≤ $ 3 000 ( in other words, x is less than or equal to $ 3 000)

The annual premium for the goods will be:

annual premium = 23 % × $ 3900

                          = $ 897

However, the premium is supposed to be paid monthly. Divide the total premium by 12 to get:

$ 897/12 = $ 74.75

This is option c.

For this case we have the following system of equations:

[tex]x + y = -9\\4x + y = -19[/tex]

We multiply the first equation by -4:

[tex]-4x-4y = 36[/tex]

We have the following equivalent system of equations:

[tex]-4x-4y = 36\\4x + y = -19[/tex]

We add the equations:

[tex]-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}[/tex]

We find the value of the variable "x":

[tex]x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}[/tex]

Thus, the solution of the system is:

[tex](x, y): (- \frac {10} {3}, - \frac {17} {3})[/tex]

See the graphic in the attached image

ANswer:

[tex](x, y): (- \frac {10} {3}, - \frac {17} {3})[/tex]

See the graphic in the attached image

Answer: D

Step-by-step explanation:

Edge 2021

Answer:

4.57 x 10(little 6 lol )

Step-by-step explanation:

4.57 x 10^6

(use the caret symbol [^] to type or write)

4.57E+6

(Scientific E-notation)

4570000

(Real Number)

Answer:

16 x 9 = 144 144 is the answer.

Step-by-step explanation:

To calculate probabilities in a binomial experiment, use the binomial probability formula. For exactly five successes, use P(X=k) = C(n,k) * p^k * (1-p)^(n-k). For at least six successes, sum the probabilities of getting exactly six to ten successes. For less than four successes, sum the probabilities of getting zero to three successes.

To find the probability of selecting a certain number of U.S. adults with very little confidence in newspapers, we can use the binomial probability formula. For (a) exactly five, we can calculate the probability using the formula P(X=k) = C(n,k) * p^k * (1-p)^(n-k), where n is the number of trials (10), k is the desired number of successes (5), p is the probability of success (0.67), and C(n,k) is the number of combinations. Plugging in the values, we find P(X=5) = C(10,5) * (0.67)^5 * (1-0.67)^(10-5).

For (b) at least six, we need to calculate the probability of getting six or more successes. We can find this by summing the probabilities of getting exactly six, seven, eight, nine, and ten successes: P(X>=6) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10).

For (c) less than four, we need to calculate the probabilities of getting zero, one, two, or three successes: P(X<4) = P(X=0) + P(X=1) + P(X=2) + P(X=3).

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Answer:0.8

Step-by-step explanation:

Answer:

  37.0

Step-by-step explanation:

Half of x is the longer leg of the right triangle shown. That leg length can be found using the Pythagorean theorem:

  x/2 = √(24.6² -16.2²) = √(605.16 -262.44) = √342.72

  x ≈ 2×18.513 ≈ 37.025 . . . . . . rounding to 3 decimal places

  x ≈ 37.0

Answer:

4.2

Step-by-step explanation:

5.7-1.5=4.2

Answer: x = 4.2

Explanation: If we're asked to solve for x in the equation x + 1.5 = 7.5, what we're really being asked to do is get x by itself on one side of the equation.

So if we take a look at the left side of our equation, notice that 1.5 is being added to x so in order to get x by itself, we must subtract 1.5 from the left side of the equation. Now remember your first rule of solving equations. If we subtract 1.5 from the left side of the equation, we must also subtract 1.5 from the right side of the equation.

So on the left side our +1.5 and -1.5 cancel out and we're simply left with x. On the right side of the equation,

5.7 - 1.5 simplifies to 4.2 so our answer is x = 4.2.

The nice thing about solving equations is that you can always check your answer by plugging it back in to the original equation.

So here, we're gonna plug a 4.2 back in for x in the original equation and we get (4.2) + 1.5 = 5.7.

Since 4.2 + 1.5 = 5.7 is a true statement, our answer checks and we know that it's right.

Answer: d=$12, b=$1

d represents DVDs

b represets books

Step-by-step explanation:

Whenever you have 2 examples of 2 different things (such as books and dvds), make a systems of equations.

Step 1: Write a system of equations

3d+4b=  40

d+6b= 18

Step 2: Eliminate any letter. I'll just choose d.

To elimiate d, you have to make them both equal to the biggest d variable. In other words, make both d terms equal to 3d. To do this, miultiply the 2nd equation by 3, and keep the 1st one the same.

3d+4b=40

3d+18b= 54

Now, elimiate d, by doing 3d-3d= 0. Now use subtraction to solve for b since we used this to get 3 and 3 to 0.

4b-18b=40-54

-14b= -14

b= -14÷-14

b= 1

Each book costs 1 dollar.

Step 3: Plug in b=1 to find how much each dvd costs (plug into any equation)

3d+4b=40

3d+4(1)=40

3d+4=40

3d=40-4

3d=36

d=36÷3

d=12

Each dvd is $12

Step 4:  Checks--plug d=12 and b=1 into any equation

3d+4b=40

3(12)+4(1)=40

36+4=40

40=40

It's correct ✅

Also i know this was answered really late but id appreciate if i could get brainliest as i worked pretty hard for this :) Hope i could help the best i could :D

Answer:

y=-3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-3(x-0)

y-4=-3(x)

y-4=-3x

y=-3x+4

Answer:

The measure of 'x' is 6 units.

Step-by-step explanation:

Given:

An isosceles triangle.

The two equal arms length = [tex]\sqrt{13}[/tex]

Measure of the altitude = [tex]2[/tex]

Note:The altitude to the base of an isosceles triangle bisects the base.

         The altitude also forms 90 degree at the base.

So, the base length can also be seen as 'x' which we can also be written as [tex]x=\frac{x}{2} +\frac{x}{2}[/tex]

And [tex]\frac{x}{2}[/tex] is a part of the right angled triangle.

Where hypotenuse = [tex]\sqrt{13}[/tex]

Perpendicular length =[tex]2[/tex]

Base length = [tex]\frac{x}{2}[/tex]

Now,

From Pythagoras formula we know that:

[tex](hypotenuse)^2 =(perpendicular)^2+ (base)^2[/tex]

Plugging the values:

⇒  [tex](hypotenuse)^2 - (perpendicular)^2 = (base)^2[/tex]

⇒  [tex]\sqrt{ (hypotenuse)^2 - (perpendicular)^2} = (base)[/tex]

⇒  [tex]\sqrt{(\sqrt{13})^2-(2)^2} =\frac{x}{2}[/tex]

⇒ [tex]\sqrt{13-4}=\frac{x}{2}[/tex]

⇒ [tex]\sqrt{9} =\frac{x}{2}[/tex]

⇒ [tex]3=\frac{x}{2}[/tex]

⇒ [tex]3\times 2=x[/tex]

⇒ [tex]6 = x[/tex]

So the value of base 'x' = 6 units.

Option D is the rigth choice.

Answer:

The given sum expressed in sigma notation is

Step-by-step explanation:

Given series is [tex]\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]

The given sum expressed in sigma notation is

Answer:

Option 2

Step-by-step explanation:

1/64 = 4^-3

1/16 = 4^-2

1/4 = 4^-1

1 = 4^0

4 = 4^1

Answer:

1 and 2 or A

Step-by-step explanation:

it is only what macks seans

Answer:

answer is 148y + 102

Step-by-step explanation:

First add like terms 14y + 134y = 148y

then add the whole numbere 112 + 2 = 114

then subtract 114 - 12 = 102

and you get 148y + 102

Answer:

2) Option 9.4 is correct

Therefore the length of the given line segment is [tex]s=9.4[/tex] units

3) Option (1,1) is correct

Therefore the midpoint of the given line  segment is M=(1,1)

Step-by-step explanation:

2) Given that the line segment CD with endpoints C at (-3,1) and endpoint at D (5,6)

To find the length of the given line segment :

That is to find the distance of the end points using distance formula

[tex]s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] units

Let [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] be the given points (-3,1) and (5,6) respectively

Substitute the points in the distance formula we have

[tex]s=\sqrt{(5-(-3))^2+(6-1)^2}[/tex] units

[tex]=\sqrt{(5+3)^2+(5)^2}[/tex] units

[tex]=\sqrt{8^2+5^2}[/tex]

[tex]=\sqrt{64+25}[/tex]

[tex]=\sqrt{89}[/tex]

[tex]=9.4[/tex]

Therefore [tex]s=9.4[/tex] units

Option 9.4 is correct

Therefore the length of the given line segment is [tex]s=9.4[/tex] units

3) Given that the line segment PG with point P at (-6,4) and point at G (8,-2)

To find the midpoint of the given line segment :

Midpoint formula is [tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Let [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] be the given points (-6,4) and  (8,-2) respectively

Substituting the points in the midpoint formula we get

[tex]M=(\frac{-6+8}{2},\frac{4-2}{2})[/tex]

[tex]=(\frac{2}{2}+\frac{2}{2})[/tex]

[tex]=(1,1)[/tex]

Therefore M=(1,1)

Therefore option (1,1) is correct

Therefore the midpoint of the given line  segment is (1,1)

The correct answer is $4.22.

Is states that Brian purchased 4 items that were $1.00.

That means he has spent a total of $4.00.

5.5% of $4.00 is 0.22.

Add that together and it gives you the sum/answer of $4.22.

Answer:

36

Step-by-step explanation:

Easy math all you have to do is look at he problem

Answer:

a = −6

Step-by-step explanation:

Step 1: You should divide both sides by 2.

[tex]23+a=\frac{34}{2}[/tex]

Step 2: then simplify [tex]\frac{34}{2}[/tex] into 17.

23 + a = 17

Step 3: next, you need to subtract 23 from both sides.

a = 17 − 23

Step 4: lastly, Simplify 17 − 23 to −6 and you're done!

a = −6

Answer:

a = -6

Step-by-step explanation:

2 (23 + a) = 34

46 + 2a = 34

2a = 34 - 46

2a = - 12

a = - 12/2

a = - 6

Answer:

D

Step-by-step explanation:

50 + .40(100) = 90

.50(20) = 10

90 + 10= 100

Answer:

D: 100

So the first multiply 0.4 times 100 which you would get 40 now add the 50 dollar fee to 40 which you would get 90 dollars. Now for the 20 miles remaining multiply 0.5 times 20 which you would get 10. Now add everything together 90+10 which would equal 100.

Answer:

AB  = -4i -7j

CD  = -5i + 4j

Step-by-step explanation:

i.) vector AB  = -4i -7j

 where i is the unit vector in the x direction and j is the unit vector in the y direction.

vector AB is 7 units down and 4 units west

ii)vector CD  = -5i + 4j

  vector CD is 5 units west and 4 units up