All categories

3 years ago

The sum of three consecutive integers is -51 what is the value of the smallest number

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Answer: Let's say the first number is x, the next one is x+1, and so on

Step-by-step explanation:

x + (x + 1) + (x + 2) = -51

x + x + 1 + x + 2 = -51

3x + 3 = -51

3x = -54

x = -18

You might be interested in

Select ALL the correct answers.

Alona [7]

Income of the first account after x years:
$1,850(1.026)^x$
Income of the second account after x years:
$2,015(1.015)^x$
Equating the above tw values we get the equation:
$1,850(1.026)^x=2,015(1.015)^x$
Solving the above equation for x:
$x=8$
Answer 8 years.

4 0

3 years ago

Read 2 more answers

Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo

bija089 [108]

<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by $\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}$ provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

$\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}$

$\implies\sf{x=\frac{1 \pm\: 7}{4}}$

Solving one by one,

$\implies\sf{x=\frac{1 + \: 7}{4}}$

$\implies\sf{x=\frac{8}{4}}$

$\implies{\boxed{\bf{x=2}}}$

________________

$\implies\sf{x=\frac{1 - \: 7}{4}}$

$\implies\sf{x=\frac{-6}{4}}$

$\implies{\boxed{\bf{x=\frac{-3}{2}}}}$

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

Hope it helps!! (:

4 0

2 years ago

Please help i don’t understand

SashulF [63]

Answer:

Use inverse cos to solve for x.

hope this helps

3 0

3 years ago

NO FILES HELP WHAT IS THE ANSWER Given Circle Z with tangents XW and XY what is the measure of arc WVY

Ronch [10]

Answer:

c. 250

Step-by-step explanation:

4 0

3 years ago

Lera25 [3.4K]

Answer:

∠ ABD = 42°

Step-by-step explanation:

∠ ODC = 90° ( angle between tangent and radius )

∠ ADC = 90° - 48° = 42°

The angle between a tangent and a chord is equal to the angle in the alternate segment, that is

∠ ABD = ∠ ADC = 42°

4 0

3 years ago