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4 years ago

Negative 5 is fewer than 6 less than a number k

Mathematics

1 answer:

lara [203]4 years ago

7 0

Answer:

k > 1 is the solution.

Step-by-step explanation:

We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.

Then this is a linear inequality of single variable k and we have to solve it.

Now, we have

- 5 < k - 6

⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}

⇒ 1 < k

⇒ k > 1

This is the solution of the given inequality. (Answer)

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Help plsss anyone help plsss

Ivanshal [37]

Answer:

$\frac{1}{70}$

Step-by-step explanation:

P(gold) = $\frac{gold}{total}$ = $\frac{5}{350}$ = $\frac{1}{70}$

3 0

3 years ago

Read 2 more answers

Which equation when graphed has a maximum value at x = −2? A) y = −x2 − 20x − 16, B) y = −x2 − 16x − 12, C) y = −4x2 − 20x − 16,

KonstantinChe [14]

Answer:

Option D. $y=-4x^{2} -16x-12$

Step-by-step explanation:

using a graphing tool

Graph and determine the vertex in each case

we know that

If the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be equal to -2 and the parabola open downward

case A) $y=-x^{2} -20x-16$

The vertex is the point $(-10,84)$

case B) $y=-x^{2} -16x-12$

The vertex is the point $(-8,52)$

case C) $y=-4x^{2} -20x-16$

The vertex is the point $(-2.5,9)$

case D) $y=-4x^{2} -16x-12$

The vertex is the point $(-2,4)$ -------> is the answer

see the attached figure

6 0

3 years ago

1,0032.43+7,543323,4252,34= ?

fomenos

Answer:

7.5433234e+12 is your answer

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step

telo118 [61]

Answer:

The solution of the given equation is x = -4

Step-by-step explanation:

Explanation:-

Given expression 4 x - (x +2) +6 = 2 (3 x+8)

Step(i):-

4 x - (x +2) +6 = 2 (3 x+8)

4 x - x -2 + 6 = 6 x + 16

step(ii):-

3 x + 4 = 6 x + 16

subtracting '4' on both sides , we get

3 x + 4 - 4 = 6 x + 16 - 4

3 x = 6 x + 12

Step(iii):-

Subtracting '6x' on both sides , we get

3 x - 6 x = 6 x - 6 x + 12

- 3 x = 12

Step(iv):-

Dividing '-3' on both sides , we get

$\frac{-3x}{-3} = \frac{12}{-3}$

x = - 4

Final answer:-

The solution of the given equation is x = -4

Verification:-

4 x - (x +2) +6 = 2 (3 x+8)

put x = -4

4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)

-16+2+6 = 2 (-12+8)

-8 = -8

Both are equal

5 0

4 years ago

The scatter plot below shows the relationship between the diameter (x), in mm, and mass f(x), in grams, of a berry: ordered pair

kkurt [141]

The function would be f (x) = 0.4x - 4.

Explanation
We can see that this is linear, since it increases at a constant rate. We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4

We use point-slope form to write the initial equation:

y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)

Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4

Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4

8 0

3 years ago