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1 year ago

Which of the following are solutions to the equation below?

Mathematics

1 answer:

zhannawk [14.2K]1 year ago

6 0

Answer:

x = (√10 -3)/2 and (-√10 -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10 -3

2x = ±√10 -3

Divide each side by 2

2x/2 = (±√10 -3)/2

x = (±√10 -3)/2

There are two solutions

x = (√10 -3)/2

and (-√10 -3)/2

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EASYY TO ANSWER I WILL MARK YOU AS BRILIANT HELP PLEASE

BARSIC [14]

Question 1: (0,2) because b value in mx+b is y-intercept

Question 2: plug in 4 for x you will get 1 so max is (4, 1)

Question 3: plug in -4 for x you will get -5 so min is (-4, -5)

Hope it helps :D

7 0

2 years ago

ULT ma<br> 4. Write an expression, then evaluate.<br> a. 1/4of the sum of 18 and 6

OlgaM077 [116]

Answer: Required expression: $\dfrac14\times(18+16)$

Result: $\dfrac{17}{2}$

Step-by-step explanation:

Given phrase: $" \dfrac14\text{ of the sum of } 18\text{ and }6. "$

Required expression: $\dfrac14\times(18+16)$ ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

$\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}$

Hence, $\dfrac14\times(18+16)=\dfrac{17}{2}.$

8 0

2 years ago

ASHLEY IS GOING ON A TRIP TO LONDON. SHE SAVED $100.00 IN SPENDING MONEY. WHEN SHE ARRIVES IN ENGLAND, SHE GOES TO A BANK TO CHA

Ilya [14]

Answer:

65.93

Step-by-step explanation:

Okay, first lets convert the money.

100 ÷ 1.43 = 69.9300699301 (69.93)

69.93 - 4 = 65.93

Ashley has 65.93 pounds.

Hope this helps! Brainliest would be appreciated. :)

4 0

2 years ago

What is the distance between points A and B shown in the graph below

Bas_tet [7]

Answer:

$D = 7\sqrt 2$

Step-by-step explanation:

Given

$A = (-3,-4)$

$B = (4,3)$

Required

The distance between them

This is calculated as:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So, we have:

$D = \sqrt{(3-(-4))^2+(4-(-3))^2}$

$D = \sqrt{7^2+7^2}$

$D = \sqrt{2(7^2)}$

$D = 7\sqrt 2$

3 0

2 years ago

Find the discriminant and the number of real roots for this equation.

Margaret [11]

Our discriminant is 0 so, $4x^2 + 12x + 9 = 0$ has one real root.

Option C is correct.

Step-by-step explanation:

we need to find the discriminant and the number of real roots for the following equation:

$4x^2 + 12x + 9 = 0$

The discriminant is found by using square root part of quadratic formula:

$b^2-4ac$

where b =12, a=4 and c=9

Putting values:

$=b^2-4ac\\=(12)^2-4(4)(9)\\=144-144\\=0$

To find out the number of real roots using discriminant we have following rules:

if discriminant b^2-4ac >0 then 2 real roots
if discriminant b^2-4ac =0 then 1 real root
if discriminant b^2-4ac <0 then no real roots

Since our discriminant b^2-4ac is 0 so, $4x^2 + 12x + 9 = 0$ has one real root.

Option C is correct.

Keywords: discriminant

Learn more about discriminant at:

#learnwithBrainly

6 0

2 years ago