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3 years ago

Solve the inequality x - 4 < -3

Mathematics

1 answer:

Andrej [43]3 years ago

5 0

Answer:

x < 1

Step-by-step explanation:

Let's solve your inequality step-by-step.

x−4<−3

Step 1: Add 4 to both sides.

x−4+4<−3+4

x<1

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A television company charges $60 for the first half-hour of work and $40 for each additional hour. Blue mountain camp has budget

Alexandra [31]

Answer:

For a length of total of 4 hrs, the budget of $200 will not exceed.

Step-by-step explanation:

Here, the first half hour charge for repairing = $60

The next hour charge = $40 her hour

Total budget to be spent by Blue Mountain Camp = $200

Now, here, the cost of 0.5 hour = $60

So, the amount left after 0.5 hour repair = $200 - $60 = $140

Let us assume we can hire the service for m hours in $140

Cost of 1 hour charge = $40

Cost of m hour charge = m X ( 1 hour charge) = m x ($40) = 40 m

⇒ 40 m = 140

or, m= 140/40 = 3.5, or m = 3.5

⇒ In $140 left, they can get a service of 3.5 hours at $40 per hour.

Now, the total hours of services hired = 0.5 hour in $60 + 3.5 hr in $140

= 0.5 hr + 3.5 hr = 4 hrs

Hence, for a length of total of 4 hrs, the budget of $200 will not exceed.

4 0

3 years ago

Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all

bezimeni [28]

Answer:

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

6 0

2 years ago

HELP PLEASE!!! Thanks!

Irina18 [472]

Answer:

2) $\frac{\sqrt{77}}{11}$

3) 5√2

Step-by-step explanation:

Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).

2. Here the given expressions,

$\frac{\sqrt{7}}{\sqrt{11}}$

For rationalising the denominator multiply both numerator and denominator by √11,

$\frac{\sqrt{77}}{11}$

3. given expression,

$\sqrt{50}$

$=\sqrt{25\times 2}$

$=\sqrt{25}\times \sqrt{2}$ $(\because \sqrt{ab}=\sqrt{a}\sqrt{b})$

$=5\sqrt{2}$

8 0

3 years ago

Find a third-degree polynomial equation with rational coefficients that has the roots 2 and -3 + i.

NeTakaya

Answer:

Option B

Step-by-step explanation:

Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).

So in factor form we have:-

(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0 Let's expand the last 2 factors first:-

(x - (-3 + i))(x - (-3 - i))

= (x + 3 - i)(x + 3 + i)

= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2

= x^2 + 6x + 9 - (-1)

= x^2 + 6x + 10

Now multiplying by (x - 2):-

(x - 2)(x^2 + 6x + 10) = 0

x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0

x^3 + 4x^2 - 2x - 20 = 0 (answer)

Option B

5 0

4 years ago

What is the greatest common factor of 3x^4, 15x^3", and 21x^2??

Umnica [9.8K]

Answer:3x^2 each coefficient is divisible by 3 and and you can take x^2 from both of them

5 0

3 years ago