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2 years ago

What is the product of (x − 3) and (x + 7)?

Mathematics

2 answers:

tatuchka [14]2 years ago

6 0

Answer: x - 21

Step-by-step explanation: If you put a one in front of each part of the equation, you would get 1(x - 3) * 1(x + 7). From there you would get 1x - 3 * 1x + 7. Then you multiply -3 * 7, which would equal -21. Therefore, the answer is "x minus 21".

If this answer is correct, put this answer as the "Brainliest" so other people who refer to this question see this answer!

NeX [460]2 years ago

3 0

Answer:

The product of (x-3) and (x+7) is x² + 4x - 21

Step-by-step explanation:

The product of (x-3) and (x+7) is x² + 4x - 21

The product of (x - 3) and (x + 7) can be found as follows:

(x - 3)(x + 7)

open the bracket by multiplying

Therefore,

x(x) +x(7) - 3(x) - 3(7)

x² + 7x - 3x - 21

combine like terms

x² + 4x - 21

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Sebastián afirma que – 14 está a la izquierda de – 10 en la recta numérica y por lo tanto es mayor, mientras que Alfredo afirma

Delicious77 [7]

Answer:

Alfredo está en lo correcto porque los números negativos se encuentran a la izquierda del cero y mientras más a la izquierda se encuentra un número negativo, más pequeño será y a medida que te desplazas hacia la derecha mayor será el número. Puedes representar los dos números en una recta numérica de la siguiente forma:

___________________________________________________________

-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3

Como se ve aquí, -14 se encuentra a la izquierda de -10 y esto significa que es menor. Por esto, Alfredo está en lo correcto al decir que -14 es menor.

3 0

3 years ago

Tanner has a budgeted no more than $20 a month for entertainment and an additional $15 for possible one-time fees. If Tanner has

sesenic [268]

Let the number of months = x , and total budget = y

<span>An inequality to represent the situation:

$y \leq 20 x + 15$

For budget = $155
∴ 155 = 20 x +15
solve for x
20 x = 155 - 15 = 140
∴ x = 140/20 = 7

∴ T</span>he greatest number of months = 7 <span>months.</span>

4 0

3 years ago

Solve. Write the solution in interval notation. -2x>-8 and -5x<20.

Novosadov [1.4K]

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

inequality will be -2 < -3 and this is completely wrong, so we must

reverse the symbol of the inequality

∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

inequality

∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

inequality

∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

( , ) if x does not equal the end numbers

[ , ] if x equals the end numbers

[ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

4 0

3 years ago

Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1 4 14 that height. Which of these statements

MAXImum [283]

Hi there!
The correct answer (the statement that is not true): The volume of the smaller cone cannot be determined because it’s height is unknown.
Hope this helps and have a good day :) !
~Angel

4 0

3 years ago

If f(x)=3x+1 then f(a+h)-f(a)

Varvara68 [4.7K]

F(x) = 3x+1
put x = a+h
f(a+h) = 3(a+h) + 1
f(a+h) = 3a + 3h + 1
put x = a
f(a) = 3a + 1
f(a+h)-f(a) = 3a + 3h + 1 -(3a+1)
f(a+h)-f(a) = 3a +3h + 1 - 3a -1
f(a+h)-f(a) = 3h

7 0

3 years ago