Answer:
(3x + 7) (x + 1 )
Step-by-step explanation:
3x^2+10x+7
first : 3x² is 3x*x
(3x ) (x )
the sign of the constant is positive so it is either (plus *plus or minus*minus)
since the sign of the middle is plus (+10x) and 7 is prime number so it has to be (7*1)
(3x + 7) (x + 1 )
check : multiply 3x(x+1) and 7(x+1)
3x*x +3x*1
7*x +1*7
____________________ add
3x²+ 10x +7 (correct)
Answer:
3x^2 + 10x + 7
1. 3x^2 + 3x + 7x +7
2. 3x(x +1) 7(x+1)
3. (3x + 7)(x+1)
Step-by-step explanation:
- to factor by grouping, you need an even amount of terms, so to do this you have to split up the middle term, 10x, into two terms. (see step 2)
-to get these numbers, you multiply the coefficents of the first and second term, in this case it would be 3 and 7. When you multiply 3 and 7, you get 21, then you want to find 2 numbers that multiply to 21, but also add up to 10. In this case, it is 7 and 3 again. but it won't always be the originial numbers. ( see step 1)
-then you look at the first two terms, and pull out the common factor, in this case it is 3, you then see what is left over and put it in the parenthesis.
- repeat this again for the second two terms, in this case it is 7. (see step 2)
- you know you have done it right when the numbers in the parenthesis are the same, if they aren't you did it wrong. (see step 2)
- then take the set of numbers in the parenthesis, and the two numbers you are multiplying by, in this case 3x and 7, and those are your factors. (see step 3)
The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of X.
Answer:
1). x° + 100° + 120° + 100° = 360°
2). x = 40
Step-by-step explanation:
Formula for the sum of the interior angles of a polygon = [tex](n-2)\times 180[/tex]
Where n = number of sides of the polygon
From the picture attached,
For n = 4,
Sum of the interior angles of the given polygon = (4 - 2) × 180°
= 360°
Therefore, equation for the sum of interior angles will be,
x° + 100° + 120° + 100° = 360°
x° + 320° = 360°
x° = 360° - 320°
x° = 40°
1 - (9 – 4) : 5 =
Please someone help
Answer:
-4 = 5
Step-by-step explanation:
9-4=5
1-5=-4
-4:5
Which is greater, -8 or -10?
Answer:
-8
Explanation:
Answer: -8
Step-by-step explanation:
Quadrilateral RAPS is located at the vertices
R(-4,1), A(-3, 4), P(0,5), S(-1,1). Where will points
R", A", P", S", be located after the quadrilateral has been reflected
across the line y - x and then rotated 180° about the origin?
Answer:
R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.
If a point A(x, y) is reflected over the line y = x, the new point is at A'(y, x)
If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)
Since Quadrilateral RAPS is located at the vertices R(-4,1), A(-3, 4), P(0,5), S(-1,1), After been reflected across the line y = x, the new locations are at:
R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1)
Then the rotation of the points R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1) 180° about the origin gives:
R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)
A garden is 5 yards 12 inches wide and 2 yards long. Write the ratio of the width to the length as a fraction in simplest form.
Solve the following inequality for b. Write your answe
-1 - (36 - 10) < 26 – 2 – 9b
Submit Answer
Answer:
-1 - (36 - 10) < 26 – 2 – 9b
b < 17/3
Imaginary Numbers
10(4-3i)=
Answer choices:
40-30i
40+30i
40-3i
Answer:
A. 40-30i is your answer.
When adding 2/3 + 4/5, what step must be completed first?
A)Finding the least common denominator.
B)Reducing the fractions.
C)Adding the numerators, but keeping the denominators.
D)Adding the denominators, but keeping the numerators.
Answer:
(A) Finding the least common denominator.
In order to add the fractions 2/3 + 4/5 the least common factor of 3 and 5 has been taken in the first step thus,option (A) is correct.
What is the lowest common multiple?The lowest common multiple is the smallest multiple which is common between any two numbers.
It means we can divide both numbers by that and that is the smallest number by which both dived.
For example, LCM of 2 and 8 is 8.
As per the given two fractions,
2/3 + 4/5,
The least common factor of 3 and 5 is 15
Thus, (10 + 12)/15
Thus, in the first step, we have taken LCM.
Hence "In order to add the fractions 2/3 + 4/5 the least common factor of 3 and 5 has been taken in the first step".
To learn more about the lowest common multiple
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Solve the equation for x. As you solve, justify the steps. Please help me out. -(3x - 12) = 9x - 4
Answer:
[tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]-\left(3x-12\right)=9x-4[/tex]
Distribute the negative sign to both 3x and -12:
[tex]-\left(3x\right)-\left(-12\right)=9x-4[/tex]
Remove brackets: (Double negative = Positive)
[tex]-3x+12=9x-4[/tex]
Subtract 12 from both sides:
[tex]-3x+12-12=9x-4-12[/tex]
[tex]-3x=9x-16[/tex]
Subtract 9x from both sides:
[tex]-3x-9x=9x-16-9x[/tex]
[tex]-12x=-16[/tex]
Divide both sides by -12:
[tex]\frac{-12x}{-12}=\frac{-16}{-12}[/tex]
[tex]x=\frac{4}{3}[/tex]
A carpenter makes tables and chairs. It takes 4 hours to make a table and 2 hours to make a chair. x represents the number of tables made each month y represents the number of chairs made each month What does the expression 4x+2y represent? A. the total number of hours used to make tables and chairs each month B. the total number of hours used to make 4 tables and 2 chairs C. the total number of tables and chairs that are made each month D. the total number of tables and chairs that are made in 6 hours
Answer:
A. the total number of hours used to make tables and chairs each month
Step-by-step explanation:
x = number of tables made each month
y = number of chairs made each month
It takes 4 hours to make a table and 2 hours to make a chair.
4x + 2y
The total number of hours used to make tables and chairs each month = 4x + 2y
The correct answer is A
A. the total number of hours used to make tables and chairs each month
I bought a car for $10,000 when I sold it I got $3,000. What was the percent decrease?
Answer:
70%
Step-by-step explanation:
10000-3000=$7,000 decrease
7,000/10,000 = 0.7 = 70%
When we multiply the same base we the exponents
Answer:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
Step-by-step explanation:
The point (p,q) is on the graph of values from a ratio table. What is another point on the graph
(p, q) are on a ratio table which makes them proportional to each other. This means that each point on the graph can be found by multiplying p and q by this proportion.
(p, q), (2p, 2q), (3p, 3q).... (np, nq)
n = any number.
please answer asap!:)
I need help finding this
6(x + 1) - 5(x + 2)
Simplify help ASAP
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ x - 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{6(x + 1) - 5(x + 2)}[/tex]
Distribute 6 through the parentheses
Similarly, distribute 5 through the parentheses
[tex] \longrightarrow{ \sf{6x + 6 - 5x - 10}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ x + 6 - 10}}[/tex]
The negative and positive integers are always subtracted but posses the sign of bigger integer
[tex] \longrightarrow{ \sf{ x - 4}}[/tex]
Hope I helped!
Best regards! :D
1. Bri read 6 more books than Zoe read. How many books did Zoe read? Let The number of books that Bri read
Answer:
Number of books Zoe read is Bri - 6. Thats as simplified I could get B - 6
Step-by-step explanation:
please help me ASAP! thank you I’m just really confused:)
The Triangle Angle Sum Theorem states that the sum of all interior angles of a triangle add up to 180 degrees.
Only Amy proved the theorem because she used postulates and theorems to construct a logical argument to show that the interior angles in a triangle add up to 180 degrees.
|5 - 2(9)| + 9^2 + 3
Answer:
97
Step-by-step explanation:
|5-18|+81+3
|-13|+81+3
13+81+3
97
Answer:
97
Step-by-step explanation:
[tex]9^{2} = 81[/tex] Plug 81 in: |5 - 2(9)| + 81 + 32(9) = 2 × 9 = 18Plug 18 in: |5 - 18| + 81 + 3|5 - 18| = 13Plug 13 in: 13 + 81 + 313 + 81 = 94Plug in 94: 94 + 394 + 3 = 97I hope this helps!
Which statements are true about a perfect cube monomial and its roots? Check all that apply.
A. A perfect cube monomial must have exponents on the variables.
B. A perfect cube monomial must have three identical roots, such that the product of the roots equal the perfect square monomial.
C. The coefficient of the monomial must be divisible by 3.
D. Any monomial can be a perfect cube root.
E. The least common multiple of all the exponents on variables of a perfect cube monomial must be 3.
F. It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.
Answer:
A, D, F
Step-by-step explanation:
Just took the test
The true statements about a perfect cube monomial and its roots are as follows;
A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.
It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.
A perfect cube monomial must have exponents on the variables.
We have to determine
Which statements are true about a perfect cube monomial and its roots?
What is a perfect cube monomial?A perfect cube monomial must have exponents on the variables.
The true statements about a perfect cube monomial and its roots are as follows;
1. A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.
2. It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.
3. A perfect cube monomial must have exponents on the variables.
Perfect cubes are the numbers that are obtained when natural numbers are multiplied by themselves twice.
All the perfect cube numbers have a square root equal to a natural number.
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Shanice paid $9 for a pizza. She now has
$12. With how much money did she start?
Answer:
$21
Step-by-step explanation:
9 + 12 = 21
Answer:
Shanice started with 21 dollars.
Step-by-step explanation:
You reverse what she did. So, that is 12+9.
Four people equally share 3/4 of a whole pizza. What fractional part of the whole pizza does each person receive?
Answer:
3/16
Step-by-step explanation:
The amount of algae in a bloom, P, can be modeled by the equation P = t^4 + 6t^3+ 7t^2 + 8t, where t is measured in weeks. During what interval of t will the population of algae be greater than 500?
(−∞, −6.759) ∪ (3.452, ∞)
(6.759, 3.452)
(0.3452, ∞)
(0, 3.452)
Answer:
C. (0.3452, ∞)
Step-by-step explanation:
The interval of t when the population of algae will be greater than 500 is (3.452, ∞)
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
The amount of algae in a bloom, P, can be modeled by the equation [tex]P = t^4 + 6t^3+ 7t^2 + 8t[/tex] where t is measured in weeks.
We need to find the find the interval of t will the population of algae be greater than 500
So, we get an inequality,
[tex]\Rightarrow P > 500\\\\\Rightarrow t^4 + 6t^3+ 7t^2 + 8t > 500\\\\\Rightarrow t (t^3 + 6 t^2 + 7 t + 8) > 500\\\\\Rightarrow t [t [t (t + 6) + 7] + 8] > 500\\\\\Rightarrow t > 3.45~~and ~~t < -6.759\\\\[/tex]
But time is measured in weeks.
So, t will not have the values from the interval (−∞, −6.759)
Therefore, the interval of t when the population of algae will be greater than 500 is (3.452, ∞)
Learn more about inequality here:
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What addition does the model represent 3 + (-1)
Answer:
negative addition
Step-by-step explanation:
that has a negaitive number being added to it
Which is the first step in solving
x - 4 = 4
Add 4 to the left side.
Subtract 4 from the left side.
Subtract 4 from both sides.
Add 4 to both sides.
Answer:
X-4=4
Solution :
X=4+4
X=8
:)
Look at the two equations:
-3x + 6 = 21
- 3x + 6 <21
Which statement best describes the process used to solve the equations?
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
The process is exactly the same for solving the equation and solving the inequality.
The process for solving the equation is entirely different from solving the inequality.
Answer:
>21 -3×+6 = 20 plus 1 equals 21
Answer:
The answer is B, In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
Step-by-step explanation:
Given A (-6, -5) and T(x - 3, y + 2), state A" after a reflection over the x-axis of the point T(A).
a. A" (-9,3)
b. A" (-9, -3)
C. A" (9,3)
d. A" (9,-3)
(15−x)∙4=10
pls pls answer asapppp
(15-12.5)*4=10
x=12.5
The measure of an angle is 10 degrees more than its supplement. What is the measure of
the smaller angle?
Supplementary angles are angles that add up to 180 degrees.
Angle 1 = x
Angle 2 = x + 10
Since they are supplementary, we can set then equal to 180
x + x + 10 = 180
Combine like terms
2x + 10 = 180
Subtract 10 from both sides
2x = 170
Divide both sides by 2
x = 85
Angle 1 = 85 degrees
Angle 2 = 85 + 10 = 95 degrees
2/ 6
Simplification
Answer:
[tex]1/3[/tex]
Step-by-step explanation:
[tex]simplify2/6[/tex]
If you want to find out how to simplify [tex]2/6[/tex], you just have to divide. So let's divide the higher number by the lower.
[tex]6/2=3[/tex]
So 1 has to be the numerator.
[tex]1/3[/tex]
This is your answer!
Hope this helps!
Answer: 1/3 please mark as brainliest
Step-by-step explanation:
