All categories

3 years ago

Solve the following equation 4=-3y-2

Mathematics

1 answer:

Mamont248 [21]3 years ago

8 0

Answer:

y = -2

Step-by-step explanation:

Move all the unknown no. to one side:

4 + 2 = -3y

-3y = 6

Solve the equation:

y = -2

You might be interested in

Use the Counting Principle to find the probability. Choosing the 7 winning lottery numbers when the numbers are chosen at random

frozen [14]

Answer: 120

<u>Step-by-step explanation:</u>

Since the order of the numbers doesn't matter we can use the formula:

$\dfrac{n!}{r!(n-r)!}\quad \text{where n is the quantity of items and r is the quantity chosen}\\\\\text{In this problem, there are 10 numbers (n = 10) and 7 to be chosen (r = 7)}\\\\_{10}C_{7}=\dfrac{10!}{7!(10-7)!}\\\\.\qquad=\dfrac{10!}{7!3!}\\\\.\qquad=\dfrac{10\times 9\times 8\times 7!}{7!\times 3\times 2\times 1}\\\\.\qquad=10\times 3\times 4\\\\.\qquad=120$

7 0

3 years ago

Read 2 more answers

Help me plzz help me plzz

Alik [6]

Answer:

44.1 mm^2

Step-by-step explanation:

The formula for a trapezoid is 1/2(b1 + b2)h

A= 1/2(12.5 + 8.5) 4.2

= 1/2x21x4.2

=44.1

4 0

2 years ago

Marta said 50 + one-half m = 120 is an equation, while Maribel argued that it is an expression. Determine who is correct and exp

In-s [12.5K]

Answer:

Marta

Step-by-step explanation:

We are given that

$50+\frac{1}{2}m=120$

We have to find who is correct and explain.

We know that

Equation: It is mathematical sentence that combines numbers and variables which shows the equality of two expressions.

Example:

$x+y=3$

Expression: It is mathematical phrase that combines numbers and variables

using mathematical operators.It can be evaluated but not solved.

Example:

$x+y$

By definitions

$50+\frac{1}{2}m=120$

It is in equation form.

Therefore, Marta is correct.

3 0

2 years ago

Read 2 more answers

Find the number b such that the line y = b divides the region bounded by the curves y = 36x2 and y = 25 into two regions with eq

Gemiola [76]

Answer:

b = 15.75

Step-by-step explanation:

Lets find the interception points of the curves

36 x² = 25

x² = 25/36 = 0.69444

|x| = √(25/36) = 5/6

thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).

The area of the bounded region is given by the integral

$\int\limits^{5/6}_{-5/6} {(25-36 \, x^2)} \, dx = (25x - 12 \, x^3)\, |_{x=-5/6}^{x=5/6} = 25*5/6 - 12*(5/6)^3 - (25*(-5/6) - 12*(-5/6)^3) = 250/9$

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

$125/18 = \int\limits^{\sqrt{b}/6}_0 {(b - 36 \, x^2)} \, dx = (bx - 12 \, x^3)\, |_{x = 0}^{x=\sqrt{b}/6} = b^{1.5}/6 - b^{1.5}/18 = b^{1.5}/9$

125/18 = b^{1.5}/9

b = (62.5²)^{1/3} = 15.75

8 0

3 years ago

Help will mark as brainliest

inysia [295]

I think it’s -1 please mark brainly

7 0

2 years ago