1. First, divide both sides of the equation by 4.
1÷4 x³/4 = –27/4/4
2. Next, on the left side of the equation, use inverse operations to get rid of the division. This will give us x³ = –27.
3. Then, to solve for x, take the cube root of both sides of the equation.
Cube root of x³ = cube root of –27
4. To check your answer, plug in -3 for x in the original equation and solve.
1÷4 x³ = –27/4
1÷4 (-3)³ = –27/4
1÷4 (-27) = –27/4
1 = 1
Since 1 = 1, the answer checks out.
Therefore, the solution to the equation is x = -3.
Answer:
-3, 3+3i[tex]\sqrt{3}[/tex]/2, 3-3i[tex]\sqrt{3}[/tex]/2
he number line shows the solution set of which inequality?
A horizontal number line is labeled from 51 to 52. There is a closed circle at 51.52, and the number line is shaded to the right of 51.52.
A. j/4.6 > 11.2
B. j/1.5 > 16.3
C. j/12.7 > 19.6
D. j/1.4 > 1.1
Marvin was in charge of ordering sodas for the class fundraiser. He made a circle graph to show the number of each size of soda. However, he accidently put his work in the graph showing the degree measures he used to make the chart instead of the number of sodas he needed and he threw away his original paper showing the number of each. Help him figure out how many of each size of soda he needs to order by answering the questions below. (Hint: There are 360 degrees total in a full circle.)
Answer:
for a: small=17% medium=38% large=33% extra large=13%
Step-by-step explanation:
(Translations LC)
Use the graph to answer the question.
Graph of polygon ABCD with vertices at 1 comma negative 1, 3 comma negative 5, 7 comma negative 5, 5 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 1 comma negative 6, 3 comma negative 10, 7 comma negative 10, 5 comma negative 6.
Determine the translation used to create the image.
5 units down
5 units up
1 unit down
1 unit up
The translation used to create the image include the following: A. 5 units down.
What is a translation?In Mathematics and Geometry, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image;
g(x) = f(x + N)
Conversely, the translation a geometric figure downward simply means subtracting a digit from the value on the positive y-coordinate (y-axis) of the pre-image; g(x) = f(x) - N.
Based on the information provided, we have:
(x, y) → (x + h, y + k)
(1, -1) → (1, -6).
1 + h = 1
h = 1 - 1
h = 0
-1 + k = -6
k = -6 + 1
k = -5.
Read more on function and translation here: brainly.com/question/31559256
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please help me and thank you
