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This is Jovan’s solution for the equation x^2-8x-9=0:

x2 – 8x – 9 = 0

x2 – 8x = 9

x2 – 8x + 16 = 9 + 16

(x – 4)2 = 25

x – 4 = 25 and x – 4 = - 25

x = 29 and x = -21

Is Jovan’s solution correct?

Answers

Answer 1

Answer:

No, it's wrong

[tex] {x}^{2} - 8x - 9 = 0 \\ (x - 9)(x + 1) = 0 \\ x = 9 \: and \: - 1[/tex]

Answer 2

Answer:

No

Step-by-step explanation:

x² – 8x – 9 = 0 x² – 8x = 9 x² – 8x + 16 = 9 + 16 (x – 4)² = 25 x – 4 = 25 and x – 4 = - 25 ⇒ Incorrect, should be x - 4 = 5 and x - 4 = -5 x = 29 and x = -21                ⇒ Incorrect, should be x = 9 and x = -1

Related Questions

The function f(x)=2.14/55x + 0.31 can be used to determine the cost, in dollars, of a gallon of gas x years since 1960.

Part A - According to the function, what was the cost, in cents, of a gallon of gas in 1960?

Part B - According to the function, how much did the cost increase each year, rounded to the nearest whole cent?

Answers

Answer:

The answer is below

Step-by-step explanation:

The equation for a linear function is given as:

y = mx + b

where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.

Given that the function where x represent the number of years since 1960 and y is the cost in dollar as:

[tex]f(x)=\frac{2.14}{55}x+0.31[/tex]

a) In the year 1960, that is x = 0, the cost of a gallon of gas is given as:

[tex]f(0)=\frac{2.14}{55}(0)+0.31\\\\f(0)=\$0.31[/tex]

b) From the function [tex]f(x)=\frac{2.14}{55}x+0.31[/tex], we can see that the rate of change is 2.14/55. Therefore, the cost increase each year by 4 cents per year.

Factor completely. 486 +108 x + 6 x^2=

Answers

Answer:

[tex]6(x+9)^{2}[/tex]

Step-by-step explanation:

6 x^2+108 x  +486

6(x^2+18 x  +81)

6(x+9)(x+9)

[tex]6(x+9)^{2}[/tex]

Answer:

[tex]6(9+x {)}^{2} [/tex]

Step-by-step explanation:

[tex]486+108x+6x ^{2} [/tex]

[tex]6 \times 81+108x+6 {x}^{2} [/tex]

[tex]6(81+18x+ {x}^{2} )[/tex]

[tex]6(9+x {)}^{2} [/tex]

Hope it is helpful...

Does anyone know the answer to this?

Answers

Hope this helps! Answer: (3) 5.4

I will give u brainliest and 5 star and thanks if its correct

Answers

Answer:

It's B and E

Step-by-step explanation:

1. Find the value of x to the nearest tenth

A. 8.1
B. 7.5
C. 8.9
D. 7.9

Answers

Answer:

C.

[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]

james wrote the number 8980000 in scientific notation

Answers

Answer:

here u go

Step-by-step explanation:

8.98 x 10^6

What scale factor is shown by this graph?
4
1/2
2
1

Answers

Answer:

If it's AL to A'L' then its 1/2

If it's A'L' to AL then its 2

Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD

Answers

Answer:

meta beta

Step-by-step explanation:

diem ryugudnhkng.

#4. Find the missing angle measures

Answers

Answer:

Step-by-step explanation:

x = 55

x + 55 = 110

x + 20 = 75

x + 65 = 120

Answer:

x°=130°

The sum of two opposite angles in a quadrilateral is 180

⇒x+55°+x+65°=180°

⇒2x+120°=180°

⇒2x=60°

⇒x=30°

Có x+20 °+x°=180°

⇒30°+20°+x°=180°

⇒x°=130°

Here are the test marks of 6 girls and 4 boys.

Girls: 5 3 10 2 7 3

Boys: 2 5 9 3

(a) Write down the mode of the 10 marks.



(b) Work out the median mark of the

(c) Work out the mean mark of all 10 students.

help quick i really need to know the answer of
A and B​

Answers

Answer:

(a) 3

(b) 3+5÷2 =4

Step-by-step explanation:

(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.

(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.

Who knows the answer

Answers

Answer:

46 is the answer

Step-by-step explanation:

because 154-108=46

does this graph represent a function ? why or why not

Answers

Yes because it passes the vertical line test (meaning that every x-value has exactly one y-value)

Answer:

yes

Step-by-step explanation:

it passes the verticle line test which states that if you put a verticle line anywhere on the graph it will only have one point in where the two lines intersect

determine the equation of the circle graphed below .
( help please )

Answers

Answer:

(x+5)²+(y+7)²=4

Step-by-step explanation:

just count it

Jose is trying to calibrate his new fitness watch. The app that come with the watch asks the user to input their average stride. Jose measures this to be approximately 2.5 feet. Using 2.5 feet as his stride how many feet will Jose walk if he takes 6000 steps in a day?

Answers

Answer:

Step-by-step explanation:

Jose is trying to calibrate his new fitness watch. The app that come with the watch asks the user to input their average stride. Jose measures this to be approximately 2.5 feet. Using 2.5 feet as his stride how many feet will Jose walk if he takes 6000 steps in a day?

1. Find the value of x and round to the nearest tenth
2. Find the value of y and round to the nearest tenth.

Answers

Answer :

Measure of x :

[tex]\longrightarrow4 \sqrt{5} \: \: units[/tex]

Measure of y :

[tex]\longrightarrow8 \sqrt{5} \: \: units[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps }}{\orange{....}}}}}[/tex]

IF THE INTEGERS IS 12,-6,8,-5,7,-4,3 ARE MARKED ON THE NUMBER LINE, THE ONE THAT COMES ON THE EXTREME LEFT

Answers

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?

Answers

the total volume is 102!

The diagram shows a pattern using four identical rhombuses.
Diagram NOT
accurately drawn
25
25
25
Work out the size of the angle marked a.
You must show your working,

Answers

Answer:

There isnt a diagram

Step-by-step explanation:

Find the difference. Express the answer in scientific notation.
(5.29x 10^11)-(3.86 x 10^11)
O 1.43 x 10^11
O 9.15 x 10^11
O 1.43 x 10^22
O 9.15 x 10^22

Answers

Answer:

Option 1

Step-by-step explanation:

Take

[tex]10 {}^{11} [/tex]

common out.

[tex](5.29 - 3.86) \times 10 {}^{11 } \\ 1.43 \times 10 {}^{11} [/tex]

Answer: a

Step-by-step explanation: edge 2023

Find B
Plzz find the right answer and don’t just guess

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

B^2 + 8^2 = 15^2

B^2 + 64 + 225

B^2 = 225 - 64

B^2 = 161

B = [tex]\sqrt{161}[/tex]    OR  12.7

number 14 and 15 pls

Answers

Step-by-step explanation:

b= 140 ( alternate angle)

k = 130 ( veetically opposite angles)

may it help ub

What is the value of the expression below? (4/5+3/5)+3.5x5

Answers

Answer:

18.9

Step-by-step explanation:

Start with parentheses.

4/5 + 3/5 = 7/5

Simplify 7/5, 7/5 = 1 2/5

Next numbers.

3.5 x 5 = 17.5

Add.

17.5 + 1 2/5 = 18.9

Need help ASAP ITS DUE Soon???!!!

Answers

Answer:

V=942.5

Step-by-step explanation:

V=(π)(r)^2(h)

V= (π)(10/2)^2(12)

V=942.5

In AFGH, the measure of ZH=90°, HF = 2.9 feet, and GH = 1.5 feet. Find the
measure of ZG to the nearest degree.

Answers

9514 1404 393

Answer:

  63°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(G) = HF/HG

  G = arctan(HF/HG) = arctan(2.9/1.5) ≈ 63°

A rancher planned to fence 6 1/2 acres of land to grow some experimental grasses. After he had finished fencing 4 3/4
acres of the land, it started snowing. How many acres of the land remained to be fenced?

Answers

Answer:

1 3/4 acres

Step-by-step explanation:

6 1/2 - 4 3/4 = the remaining acres to be fenced.

we can bring all numbers to "quarters" (1/4th) to be able to make that subtraction.

6 1/2 = 13/2 = 26/4

4 3/4 = 19/4

so, 26/4 - 19/4 = 7/4 = 1 3/4 acres still to be fenced.

Which value of a,b, and c correctly represent the answer in simplest form?

Answers

Answer:

A

Step-by-step explanation:

first, you turn 3 1/2 into 3 2/4'ths and change 3 two fourth's into 14/4 fraction.

next, you change 2 one fourth into 9/4th's fraction

your equation would be 14/4 divided by 9/4th's = a times b/c

when you used divide, you get get flip one of the fractions being divided, and it could turn into 14/4 TIMES 4 over 9 = a times b/c.

wait this area down here could be wrong:

when you get your equation, multiply them together and you get 56 over 36 equals a times b/c.

A times B /C is equal to 56/36 which can simple out to 28/18 which AGAIN simpled out to 14/9

C IS 9 BECAUSE IT IS THE DENOMINATOR

and because of that, A would be the answer.

can somebody help please

Answers

Answer:

B: 12 + 2y

Step-by-step explanation:

9 + y + y + 3

You can rearrange this expression to show:

(9 + 3) + (y + y)

To solve, you add all the like parts together.

(12) + (2y)

12 + 2y

A ship moves through the water at 30 miles/hour at an angle of 30° south of east. The water is moving 5 miles/hour at an angle of 20° east of north. Identify the ship's vector, the water current's vector, and the vector representing the ship's actual motion.

Answers

Answer:

a. 25.98i - 15j mi/h

b. 1.71i + 4.7j mi/h

c. 27.69i -10.3j mi/h

Step-by-step explanation:

a. Identify the ship's vector

Since the ship moves through water at 30 miles per hour at an angle of 30° south of east, which is in the fourth quadrant. So, the x-component of the ship's velocity is v₁ = 30cos30° = 25.98 mi/h and the y-component of the ship's velocity is v₂ = -30sin30° = -15 mi/h

Thus the ship's velocity vector as ship moves through the water v = v₁i + v₂j = 25.98i + (-15)j = 25.98i - 15j mi/h

b. Identify the water current's vector

Also, since the water is moving at 5 miles per hour at an angle of 20° south of east, this implies that it is moving at an angle 90° - 20° = 70° east of north, which is in the first quadrant. So, the x-component of the water's velocity is v₃ = 5cos70° = 1.71 mi/h and the y-component of the water's velocity is v₄ = 5sin70° = 4.7 mi/h

Thus the ship's velocity vector v' = v₃i + v₄j = 1.71i + 4.7j mi/h

c. Identify the vector representing the ship's actual motion.

The velocity vector representing the ship's actual motion is V = velocity vector of ship as ship moves through water + velocity vector of water current.

V = v + v'

= 25.98i - 15j mi/h + 1.71i + 4.7j mi/h

= (25.98i + 1.71i + 4.7j - 15j )mi/h

= 27.68i -10.3j mi/h

solve in Multi step equations for x

Answers

[tex]\longrightarrow{\green{ \: x = - 25 }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \frac{ - 2}{5} (x + 10) = 6[/tex]

➺ [tex] \: - 2 \: (x + 10) = 6 \times 5[/tex]

➺ [tex] \: - 2x - 20 = 30[/tex]

➺ [tex] \: - 2x = 30 + 20[/tex]

➺ [tex] \: - 2x = 50[/tex]

➺ [tex] \: x = \frac{50}{ - 2} [/tex]

➺ [tex] \: x = - 25[/tex]

Therefore, the value of [tex]x[/tex] is -25.

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex] \frac{ - 2}{5} ( - 25 + 10) = 6[/tex]

➺ [tex] \: \frac{ - 2( - 15)}{5} = 6[/tex]

➺ [tex] \: \frac{30}{5} = 6[/tex]

➺ [tex] \: 6 = 6[/tex]

➺ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

How many solutions exist for the system of equations graphed below? 3 2 54 -3 -2 -1 1 1​

Answers

Answer:

Step-by-step explanation:

One solution if they intersect (which is the case), and zero if they are parallel and apart, and infinite if they are parallel and coincident, two lines piled on top of each other.

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