Q4. Write these numbers in order of size, smallest first.
1 -5
2-4
3 -3
4-2
5-1

Answer:

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x

=

−

b

±

b

2

−

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

−

6

=

0

2

x

2

+

x

−

6

=

0

2x2+x−6=0

=

2

a

=

2

a=2

=

1

b

=

1

b=1

=

−

6

c

=

−

6

c=−6

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

√

2

⋅

2

x

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

2

⋅

2

x=2⋅2−1±12−4⋅2(−6)​​

Answer:

x = - 2, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Complete question is;

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answer:

We would conclude that the new program doesn't seem to be more effective than the old program.

Step-by-step explanation:

We are given;

Population mean; μ = 91

Population standard deviation; σ = 10

Sample mean; x¯ = 90.7

Sample size; n = 19

Formula for z-score

z = (x¯ - μ)/(σ/√n)

z = (90.7 - 91)/(10/√19)

z = -0.131

From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;

P-value = 0.4479

This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.

Answer:

1

Step-by-step explanation:

Answer:

3a^2

Step-by-step explanation:

solve as follows by using the laws of indices

Index or indices determines how many times a phrase has been multiplied by itself. The value of the given indices expression will be 3a².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The radical is the symbol that is used to represent the root in the expression n√x, while an index or indices determines how many times a phrase has been multiplied by itself, it is represented by a tiny number in the superscript form.

The given indices expression can be solved as shown below.,

[tex]\sqrt{\dfrac{54a^{-4}}{6^{-8}}}[/tex]

[tex]= \sqrt{\dfrac{54(a^{-4})(a^{8})}{6}}[/tex]

[tex]= \sqrt{\dfrac{54(a^{-4+8})}{6}}\\\\= \sqrt{\dfrac{54(a^4)}{6}}[/tex]

= √(9a⁴)

=√(3a²)²

= 3a²

Hence, the value of the given indices expression will be 3a².

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

I'm sorry the photo is on a side. I'm too lazy to text it on here lol

Answer:

9

Step-by-step explanation:

someone help me on my homework before i lose my sanity pls its my most recent question im done <3

Answer:

96,000 people

Step-by-step explanation:

convert the length from miles to feet.

2.5 miles = 13,200 feet

Area = 13,200× 8

Area = 105,600 square feet

but the fans will be on both sides of the sidewalk,hence,

the area will be twice.

105,600 square feet ×2= 211,200 square feet.

1 fan = 2.2 square feet

x = 211,200 square feet

therefore number of fans will be = 96,000 people.

Answer:

G , JG, GH are the answers

Step-by-step explanation:

I’m so sorry the wretarded Billie Eyelash Stan couldn’t answer your question the first time :( but luckily my awesome smartness came along and gave you the answer, yes, yes. no problem anytime ;)

Answer:

G , JG, GH are the answers

Step-by-step explanation:

i just did it 100%

Answer:

12

Step-by-step explanation:

I just did 9 ÷ .75 = 12

answer: 0.000027= 2.7× 10 to the power of -5

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

30 divided by 5 then you have six so everyone 1/5 is 6 and 2/5 is wearing red so then 2/5 is 12

Answer:

12 students are wearing red t-shirts.

Step-by-step explanation:

Answer:

The equation of the parallel line is x + 3y = 17

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercept

The form of the equation y = m x + b, where

∵ The equation of the given line is x + 3y = 4

→ We must put it in the form above to find its slope

→ Subtract x from both sides to move x to the right side

∵ x - x + 3y = 4 - x

∴ 3y = 4 - x

→ Divide both sides by 3 to make the coefficient of y = 1

∴ [tex]\frac{3y}{3}=\frac{4}{3}-\frac{1}{3}x[/tex]

∴ y = [tex]\frac{4}{3}[/tex] -  [tex]\frac{1}{3}[/tex] x

→ Compare it with the form of the equation above

∴ m = [tex]-\frac{1}{3}[/tex]

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is [tex]-\frac{1}{3}[/tex]

→ Put it in the form of the equation

∴ y =  [tex]-\frac{1}{3}[/tex] x + b

→ To find b substitute x and y in the equation by the coordinates

   of a point on the line

∵ The line passes through the point (2, 5)

∴ x = 2 and y = 5

→ Substitute them in the equation

∴ 5 =  [tex]-\frac{1}{3}[/tex] (2) + b

∴ 5 =  [tex]-\frac{2}{3}[/tex] + b

→ Add  [tex]\frac{2}{3}[/tex]  to both sides

∴ [tex]\frac{17}{3}[/tex] = b

→ Substitute it in the form of the equation above

∴ y = [tex]-\frac{1}{3}[/tex] x + [tex]\frac{17}{3}[/tex]

→ Multiply each term by 3

∴ 3y = - x + 17

→ Add x to both sides

∴ x + 3y = 17

∴ The equation of the parallel line is x + 3y = 17

Answer:

[tex]\displaystyle y-5=-\frac{1}{3}(x-2)[/tex]

Step-by-step explanation:

Equation of a Line

Two lines are parallel if they have the same slope. We are given the equation of the line:

x+3y=4

To find the slope of this line, we must solve for y:

[tex]\displaystyle y=-\frac{1}{3}x+\frac{4}{3}[/tex]

The slope of this line is:

[tex]\displaystyle -\frac{1}{3}[/tex]

The equation of the new line has the same slope. To find its equation, we use the point-slope form of the line:

y-k=m(x-h)

Where (h,k)=(2,5). Thus:

[tex]\boxed{\displaystyle y-5=-\frac{1}{3}(x-2)}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

Answer:

Because the side lengths of the triangles are  proportional.

Step-by-step explanation:

I took geometry.

Answer:

D

Step-by-step explanation:

D doesnot satisfy when numbers are substituted

Answer: 65.88 km/h

Step-by-step explanation:

When multiplying conversion factors, make sure the only remaining units are the desired units.

Since we know the Circumference of the circle (28.26) we can use the formula to find the Diameter of the circle

The Diameter of the circle is 9

$ 190.40 hope it he,lps.

Answer:

x=4

length=13

width=-1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

Hope this helped :)

Please consider Brainliest :)

Answer:

$3,200

Step-by-step explanation:

384/12= 32

32*100= 3200

Answer:

He earns $46.08 because that would be 12% of $384:)

Answer:

Answer 1:

5/8 = 2.5/4 so its 2.5 months

Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.

Step-by-step explanation:

1/4=2/8, so continue that on until you get the answer.

5/8÷1/4

5.8·4/1=

20/8=2.5

9/16=

9÷16=

0.5625

I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.

The equation of each graph from left to right in slope intercept form is

y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.

Answer:

Let's take a look at the lengths of the sides: 90, 120, 150. What do we notice here?

It's a 3:4:5 triangle.

90/30 = 3, 120/30 = 4, 150/30 = 5.

That the 2 triangles formed by line running diagonally through the base creates AT LEAST 2 right angles.

Since the total amount of degrees in a quadliateral is 360,

180(s-2)

And we know that there are 2 right angles which equals to 180 and the sides are all parallel to each other,

That must mean that the 2 remaining angles of the box add up to 180,

Therefore all angles are 90 degrees.