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ValentinkaMS [17]
3 years ago
15

Hi:) I need help with 1(a) , thank you so much :)))!

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

-3>_ x >_ -2

Step-by-step explanation:

x(x+5)>_  -6

Open the bracket

x² + 5x >_  -6

x² +5x + 6 >_  0

Solve quadratically using factorisation method

Factors of 6 that sum up to +5. ( 2 and 3)

x² + 2x + 3x + 6 >_  0

Factorise

x(x + 2) +3(x + 2) >_ 0

(x+2)(x+3) >_ 0

Therefore

x + 2 >_ 0    or  x +3 >_ 0

x>_ -2   or x >_ -3

-3>_ x >_ -2

I hope this was helpful, please mark as brainliest

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Write the slope-intercept form of the line that passes through (-10,17) and (5,-4)
RideAnS [48]

Answer:

y = - \frac{7}{5} x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 10, 17) and (x₂, y₂ ) = (5, - 4)

m = \frac{-4-17}{5+10} = \frac{-21}{15} = - \frac{7}{5}

y = - \frac{7}{5} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 4), then

- 4 = - 7 + c ⇒ c = - 4 + 7 = 3

y = - \frac{7}{5} x + 3 ← in slope-intercept form


3 0
4 years ago
Can someone help me with this ?
Anastasy [175]

Answer:

11 inches

Step-by-step explanation:

We want to work out the radius of the cylinder in inches so we have to utilise the volume of a cylinder formula which is

Volume  = π × r² × h

Where "r" is the radius and "h" is the height

→ First substitute the value into the formula

121 π = π × r² × 1

→ We can divide both sides by π to get rid of it

121 = r² × 1

→ We should divide both sides by 1 to isolate r²

121 = r²

→ Now, we can square root both sides to find the value of the radius

11 = r

→ So the radius of the cylinder is 11 inches

5 0
3 years ago
What is the answer to 1/8 of 24?
ASHA 777 [7]

Your answer is 3.

1/8 * 24 = 3

5 0
3 years ago
What is the solution to the inequality <br> 7x+2&lt;-3x+1
Allisa [31]

Answer:

4x+3

Step-by-step explanation:

4 0
3 years ago
Ratio of 200m and 1km.​
kkurt [141]

Answer:

1 : 5

Step-by-step explanation:

→ Convert 1km into metres

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→ Put in ratio format

200 : 1000

→ Simplify

1 : 5

8 0
3 years ago
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