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3 years ago

Solve 2x - 1 < 7 and 5x + 3 < 3. {x | x < 0} {x | x < 4} {x | 0 < x < 4}

Mathematics

2 answers:

nataly862011 [7]3 years ago

7 0

2x -1 <7 ; then, 2x < 8; then x < 4;
5x + 3 < 3; then, 5x < 0; then x < 0;
Finally, {x / x < 0};

saul85 [17]3 years ago

3 0

Answer:

Solution for givrn system of inequalities: $\{x ~| ~x < 0\}$

Step-by-step explanation:

We are given a system of two inequalities:

$2x-1 < 7\\5x+3 < 3$

Solving the inequalities individually:

$2x-1 < 7\\2x$

The intersection of the two solution will give us the solution to the system of inequalities:

$x \in (-\infty, 4) \cap (-\infty, 0)\\ x \in (-\infty, 0) \\\{x ~| ~x < 0\}$

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natulia [17]

The correct answer is (-12)^15, because you have to multiply the exponents.

${( - 12)}^{5 \times 3}$
${( - 12)}^{15}$

6 0

3 years ago

A teacher buys a fruit cup for $1.50 and a calculator for $13.75 for each student in their classroom. The teacher spends a total

MAXImum [283]

Answer:

1.50 + 13.75 = 15.25

15.25 x 579.50 = 38

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7 0

3 years ago

If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Inga [223]

Answer:

The value of f(3) = -2.

Step-by-step explanation:

First of all, let's find f(2).

$f(n+1)=f(n)^{2}-3$

$f(1+1)=f(1)^{2}-3$

$f(2)=f(1)^{2}-3=2^{2}-3=1$

Now, we can find f(3):

$f(2+1)=f(2)^{2}-3$

$f(3)=f(2)^{2}-3=1^{2}-3=-2$

Therefore, the value of f(3) = -2.

I hope it helps you!

4 0

3 years ago

Given the figure as marked, find the perimeter and area.

Kazeer [188]

Answer:

Step-by-step explanation:

Left triangle: it has two congruent legs because has an angle of 45 degrees

AB = $\sqrt{ 2 * 6^2} = 6\sqrt{2}$ cm

the triangle on the the right is half on an equilateral one

BC = 12 cm

CH = 6√3 cm

AC= (6 + 6√3) cm

2p = 6 + 6√3 + 12 + 6√2 = 18 + 6√3 + 6√2 = 6(3 + √3 + √2) cm

Area = [6(1+√3) * 6]/2 = 18(1+√3) cm^2

6 0

3 years ago

At a baseball game, a vender sold a combined total of 214 sodas and hot dogs. The number of hot dogs sold was 34 less than the n

Archy [21]

The vendor sold 124 sodas and 90 hot dogs.

Step-by-step explanation:

Let,

x be the number of sodas.

y be the number of hot dogs.

Total sold = 214

According to given statement;

x+y=214 Eqn 1

y= x-34 Eqn 2

Putting value of Eqn 2 in Eqn 1;

$x+(x-34)=214\\x+x-34=214\\2x=214+34\\2x=248$

Dividing both sides by 2;

$\frac{2x}{2}=\frac{248}{2}\\x=124$

Putting x=124 in Eqn 2;

$y=124-34\\y=90$

The vendor sold 124 sodas and 90 hot dogs.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

4 years ago