Answer:
x = 3 and x = -2
Step-by-step explanation:
The given equation is :
[tex]x^2-x-6=0[/tex]
We need to solve the given equation.
We can solve it using Completing the Square method.
We take two numbers such that their product is -6 and sum is -1.
So,
[tex]x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x-3)(x+2)=0\\\\x=3\ and\ x=-2[/tex]
so, the values of x are 3 and -2.
16. Find the slope and y-intercept of y - y° = m(x – x°) where x° and y°
are constants.
Step-by-step explanation:
Slope = m
y - y° = m(x - x°)
m(x - x°) = y - y°
m = (y - y°)/(x - x°)
y intercept x = 0
... and I don't know :")
Please help if you can thx :)
Answer:
x = 30
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 3x + 2x = 180
6x = 180
x = 30
A person is holding two drill bits, one is 7/16 and the other is 25/64, and wants to first drill a hole using the smaller bit. To compare, the person expands 7/16 to 64ths. What is the expanded fraction?
Answer:
28/64
Step-by-step explanation:
7/16 = 14/32 = 28/64
Which equation is not equivalent to 2x + 14 = 4x– 6
14 + 6 = 2x
-2x= 20
2x – 4x= -20
X = 10
Find the value of x.
Answer:
x = 113
Step-by-step explanation:
Since the shape is a quadrilateral, the angles add up to 360 so:
x + 87 + 113 + 47 = 360
x + 247 = 360
x = 360 - 247
x = 113
I am really in hurry can anyone help me please
Answer:
This is your answer ☺️☺️☺️
A bicycle is originally priced at $80 the store owner gives a discount in the bicycle is know priced at $60 enter the percent markdown for the cost of the bicycle
Answer:
25%
Step-by-step explanation:
Since we know that the markdown is $20 by subtracting 80-60 , we find out what percent of 20 is 80. To do that you do 20/80, which is 0.25, or 25 percent.
A fudge recipe calls for 1/2 cup of cocoa if only 1/2 of the recipe is made how much cocoa should be used
Answer:
1/4
Step-by-step explanation:
Answer:
1/4 cup
Step-by-step explanation:
what is the value of the expression -5(3+4)?
Answer:
5(3+4) = - 35
Step-by-step explanation:
-5(3 + 4)
-5 × 3 + (-5) × 4
-15 + (- 20)
-15 - 20 = - 35
Thus, The value of the expression
-5(3+4) is - 35
-TheUnknownScientist
How many degrees has (triangle)ABC been rotated counterclockwise about the origin?
Answer:
180°
Step-by-step explanation:
180
The total number of degrees in which has the triangle ABC been rotated counterclockwise about the origin is 180 degrees.
What is the rotation of the figure?The transformation of a figure around a point, either clockwise or counterclockwise, is called rotation. A figure's coordinate point changes when it rotates.
About the origin, the triangle ABC has been rotated. The new triangle A'B'C' is created as a result. In the graph below,
The vertex B' points have the same but negative coordinates,
The vertex of B of the original figure points on the same line.
The coordinate point of B is (5,8).
The coordinate points of B' is (-8,-5).
The same will goes for the A and C points of the triangle
Thus the change in coordinate point after the rotation is,
coordinates of B = (5,8)
coordinates of B' = (-5, -8)
The same will follow with A and C
This is the rotation rule of 180 degrees counterclockwise.
Therefore, The triangle ABC has been rotated 180 degrees counterclockwise in all with respect to the origin.
Learn more about the rotation of figures here;
brainly.com/question/26249005
#SPJ2
Helppppp PLZZZ This is hard
Answer:
100 sq ft
Step-by-step explanation:
triangle has a base of 25 and a height of 8
A = bh/2
A = 8 x 25 / 2
A = 100
Write the expression 5^2/3 without using exponents
The expression 5²/3 can be written without exponents as the fraction 25/3 or 8.33 approximately to 2 decimal place.
Whole numbers, exponents and fractionsWhole numbers include all natural numbers and 0 and can be expressed as exponents and fractions. Exponent is the method of expressing numbers in terms of powers while fractions a fraction represents a part of a whole or, more.
The expression 5²/3 having an exponent can be rewritten as follows:
5²/3 = (5 × 5)/3
5²/3 = 25/3
Therefore, without using exponents the fraction 25/3 or 8.33 approximately to 2 decimal place is the same as the expression 5²/3.
Learn more about exponents here: https://brainly.com/question/11975096
#SPJ1
Measurement of a circle
(Giving brainliest for the correct answer)
Answer:
A. [tex] \frac{5}{6}\pi x^2 [/tex]
Step-by-step explanation:
Central angle of shaded part
[tex] \theta = 360\degree-60\degree= 300\degree[/tex]
Radius (r) = x unit
Area of the shaded part of [tex] \odot K[/tex]
[tex] = \frac{\theta}{360\degree} \times \pi r^2 [/tex]
[tex] = \frac{300\degree}{360\degree} \times \pi x^2 [/tex]
[tex] = \frac{5}{6}\pi x^2 [/tex]
The volume of the polyhedron is ______ in3.
Answer:
The volume of the polyhedron is 672 cubic inch
Step-by-step explanation:
For a given Cuboid
l = 8 in.
b = 14 in.
h = 6 in.
Now,
Volume of a cuboid
[tex]\large\boxed{\fcolorbox{blue}{yellow}{V = l × b × h}}[/tex]
= 8 × 14 × 6 in.
V = 672 cubic inch
Thus, The volume of the polyhedron is 672 cubic inch
-TheUnknownScientist
Answer:
672 cubic inch
Step-by-step explanation:
hope it's helpful
Help me answer this question plz..
Answer:
the shape is parallelogram
A textbook store sold a combined total of 402 biology and physics textbooks in a week. The number of physics textbooks
sold was 54 less than the number of biology textbooks sold. How many textbooks of each type were sold?
Number of biology textbooks sold: 0
Number of physics textbooks sold:
0
We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.
Altogether, the bookseller sold 240 math and history textbooks. So:
x + y = 240
Now, the number of history textbooks sold was 72 less than the number of math books sold. So:
y = x - 72
Now we can substitute for y in the equation and solve:
x + y = 240
x + (x - 72) = 240
2x - 72 = 240
2x = 312
x = 156
The bookseller sold 156 math textbooks.
Since y = x - 72, he must have sold 84 history textbooks.
Let's check our answers:
x + y = 240
156 + 84 = 240
That is true, so we did get the correct answers.
A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was
Answer:
C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
Step-by-step explanation:
The value of the chi-square test statistic was 7.82 and the p- value is 0.02. This means that if the null hypothesis were true there is a 2 percent chance of obtaining a chi square value of at least 7.82
The p- value is defined as obtaining the test statistic under H0 as extreme as observed.
When the p- value is less than 0.05 in the chi square goodness fit test it means that the null hypothesis is rejected.
There fore option C is the best answer.
A)There is a 2 percent chance that the company's claim is correct.
B) There is a 2 percent chance of obtaining a chi-square value of at least 7.82.
C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
D) If the null hypothesis were true, there is a 2 percent chance that the company's claim is correct.
E) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of 7.82.
The p-value is defined as obtaining the test statistic under H₀ as extreme as observed. Then the correct option is C.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
The value of the chi-square test statistic was 7.82 and the p-value is 0.02. This means that if the null hypothesis were true if there is a 2% chance of obtaining a chi-square value of at least 7.82.
The p-value is defined as obtaining the test statistic under H₀ as extreme as observed.
Thus, the correct option is C.
More about the null hypotheses and the alternative hypotheses link is given below.
https://brainly.com/question/9504281
Please Help with the second one
Answer:
20%
Step-by-step explanation:
Total number of children = 20
Number of children who chose oatmeal = 4
Percentage of children who chose oatmeal :- [tex] \frac{Number \: of \: children \: who \: chose \: oatmeal}{Total \: number \: of \: children} \times 100[/tex]
[tex] = > \frac{4}{20} \times 100 [/tex]
[tex] = > 20\%[/tex]
The soccer team played a total of twenty-four games and won four more games than they lost. What was the team's win-loss record for the season ? wins _____. Losses _____.
Answer:
Wins _16____. Losses _12____.
Step-by-step explanation:
Since they played 24 games, the wins and losses must add to 24.
Wins losses
24 0
23 1
22 2
21 3
20 4
19 5
18 6
17 7
16 8
15 9
14 10
13 11
12 12
11 13
10 14
9 15
They won 4 more than they lost is 16 W and 12 L.
SQDANCEFAN ECSPECIALLY PLZ HELP ME THX SO MUCH!!! Or anyone else can answer if they know, but if you put stu-pid answers you will be reported
9514 1404 393
Answer:
90.1 m
Step-by-step explanation:
The length of the shortcut is the hypotenuse of a right triangle with side lengths 30 and 85. That length can be found using the Pythagorean theorem.
PQ² = 30² +85² = 8125
PQ = √8125 ≈ 90.1
The length of the shortcut is 90.1 meters.
Mr. Robert offers students piano lessons. The cost is $25 per student plus a one-time registration fee of $50. How many lessons can a particular student take if they want to pay less than $175?
Write an inequality to represent the situation.
Define your variable in the space below.
Solve the inequality to determine how many lessons the student can take. Be sure to TYPE all your computations
Answer:
20
Step-by-step explanation:
cause
The area of a playground is 2,400 square yards, and the width is 40 yards. What is the length of the playground? PLEASE HELP
Need help will give brainliestttttttttttttttttt
9514 1404 393
Answer:
10π meters
Step-by-step explanation:
The circumference of the island is given by ...
C = πd
For the given diameter, the circumference is ...
C = π(20 m) = 20π m
The penguin swam half that distance, so swam ...
(1/2)(20π m) = 10π m
The penguin swam 10π meters.
Please answer this hurry up thank you so much!
you rolled a 3 just now? what is the probability the next roll is a 4
Answer: 0.1 :D
Step-by-step explanation:
Write an equation that can be used to find the nth term of the sequence, an.
70, 103, 136, 169, 202, ...
Enter your answer by filling in the boxes.
an = __n + __
Answer:
+12 +1
Step-by-step explanation:
Answer:
an = 33n + 37
Step-by-step explanation:
I took the test.
The price of 4 pounds of grapes is $8.40 What is the price of 1 pound of grapes.
Answer:
$2.10
Step-by-step explanation:
8.40÷4=2.1
Therefore, the price for 1 lb of grapes is $2.10.
You have 15 bottles of coke , you drink 2 bottles a day after a certain amount of days there are 3 bottles left. Which of the following represents the day when you had 3 borrows left
Answer:
15 - 2x = 3
Step-by-step explanation:
Let x be the amount of days that have passed.
15 - 2x gives the amount at any day number x.
15 - 2x = 3 represents the day when you had 3 bottles left.
find the missing terms 20 21 23 __,__,35 pls answer
Answer:
hi
Step-by-step explanation:
20,20+1,21+2,23+3,26+4,30+5
20,21,23,26,30,35
hope it helps
have a nice day
Simplify the expression:
(50 + 4)(2)
Answer:
108
Step-by-step explanation:
50 + 4 = 54
54 x 2 = 108