Using Factors to Write Equivalent Expressions
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x+6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Answers
Answer:
(x + 1)(x + 8)
Step-by-step explanation:
I graphed the equation on the graph below to find the x values.
We can find this by expanding the brackets and seeing if the resultant expression is x² + 9x + 8. We can expand it using the FOIL method (first, outside, inside, last)
(x + 1)(x + 8)
x × x = x² (first)
x × 8 = 8x (outside)
1 × x = x (inside)
1 × 8 = 8 (last)
Adding these all together gives us x² + 8x + x + 8 = x² + 9x + 8, which is the original expression.
I hope this helps!
Related Questions
Given the diagram below, what is m_D?
1080
108
Answers
Answer:
The correct Awnser is Awnser choice C. (Or third one)
Answer:c)72
Step-by-step explanation:u got it right on ape
Vince has a dog washing business .he washed 8 dogs and earned a total of 119.92 how much doe he charge per dogs?
Answers
Answer:
14.99
Step-by-step explanation:
119.92/8
Mona is hang gliding \dfrac{5}{4}
4
5
start fraction, 5, divided by, 4, end fraction kilometers above sea level. Directly below her, she sees a whale 0.20.20, point, 2 kilometers below sea level.
Which of the following expressions represents the distance between Mona and the whale?
Choose 1 answer:
Answers
Answer:
A
Step-by-step explanation:
i promise it's A.
Mona is hang gliding 1.25 kilometers above sea level and a whale is 0.2 kilometers below sea level. The total distance between them is the sum of both distances, which is 1.45 kilometers.
Explanation:The distance between Mona and the whale is given by the sum of 2 distances. One is Mona's altitude above sea level (5/4=1.25 kilometers) and the other is the whale's depth below sea level (0.2 kilometers). Both values should be added because both distances are defined with respect to the sea level, and their signs indicate direction rather than distance. Therefore, the expression that represents the distance between Mona and the whale is 1.25 km+0.2 km = 1.45 km, where 1.25 km is the distance Mona is gliding above the sea level and 0.2 km is the distance the whale is under the sea level.
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Find the surface area of the prism.
3cm, 4cm, 12cm, 5cm
90 cm2
150 cm2
156 cm2
96 cm2
Answers
Final Answer:
The surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.
Explanation:
To find the surface area of a triangular prism, you need to calculate the areas of all the faces and sum them up. The surface area will include the areas of:
- The two triangular bases, and
- The three rectangular sides.
Since the sides of the triangular bases are 3 cm, 4 cm, and 5 cm, and it is mentioned that they form a right triangle, we can consider those lengths to be the sides of a right-angled triangle where 3 cm and 4 cm are the perpendicular sides, and 5 cm is the hypotenuse. The length (height) of the prism is 12 cm.
1. Calculate the area of one triangular base:
The area of a right-angled triangle can be calculated using the formula:
Area = (Base * Height) / 2
In our case, the base and height correspond to the two sides that are perpendicular to each other, which are 3 cm and 4 cm, respectively:
Area_triangle = (3 cm * 4 cm) / 2
Area_triangle = 12 cm² / 2
Area_triangle = 6 cm²
Since there are two identical triangular bases, we double the area:
Total_area_triangles = 2 * Area_triangle
Total_area_triangles = 2 * 6 cm²
Total_area_triangles = 12 cm²
2. Calculate the area of the three rectangular sides:
Each rectangle side is formed by the length of the prism and one of the sides of the triangle. There are three sides, so we have three rectangles:
Rectangle 1 (Side a): Area = side_a * length = 3 cm * 12 cm = 36 cm²
Rectangle 2 (Side b): Area = side_b * length = 4 cm * 12 cm = 48 cm²
Rectangle 3 (Side c): Area = side_c * length = 5 cm * 12 cm = 60 cm²
Now sum the areas of the rectangles:
Total_area_rectangles = Rectangle 1 + Rectangle 2 + Rectangle 3
Total_area_rectangles = 36 cm² + 48 cm² + 60 cm²
Total_area_rectangles = 144 cm²
3. Sum up the areas of the triangular bases and rectangles to get the total surface area:
Total_surface_area = Total_area_triangles + Total_area_rectangles
Total_surface_area = 12 cm² + 144 cm²
Total_surface_area = 156 cm²
Therefore, the surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.
The volume of the cone
Answers
Answer:
150.8
Step-by-step explanation:
A copy machine makes 19 copies in 3 minutes and 15 seconds. How many copies does it make per minute?
Answers
Answer:
5 copies
Step-by-step explanation:
19 ÷ 195
answer x 60
Answer:
10.26secs
Step-by-step explanation:
Let's start by converting 3minutes 15seconds to second
How
60secs=1min
Xsec=3mins
Let's cross multiply
x=60×3
X=180secs
180+15
195secs
So 19 copies=195 secs
1copy=x sec
Cross multiply
19x=1×195
19x=195
Divide both sides by 19
X=10.26secs
5 + 4 – (10/2 – 8 × 3) × 4
Answers
Answer:85
Step-by-step explanation:
Use PEMDAS (Parentheses Expinents Multiplication Divison Addition Subtraction) in that order to solve in the correct order
Answer:
85
Step-by-step explanation:
first you have to reduce the factor with 2, them multiply the numbers.
Calculate the difference (when there is a "-" in front of an expression in parenthesis, change the sign of each term of the expression)
Multiply the numbers
Calculate the sum of the positive numbers
now, solution: 85
Can y’all help me please
Answers
Answer: fourths
Step-by-step explanation:
What is the missing angle measure?
Answers
Answer:
33 degrees
Step-by-step explanation:
Because of the little square in the corner of the triangle, you know that that angle is 90 degrees. Since the second angle is 57 degrees and all of the interior angles of a triangle add up to 180 degrees, the final angle is 180-90-57=33 degrees. Hope this helps!
Answer:
33
Step-by-step explanation:
the interior angle measure of all triangles is 180
you add the right and (90 degrees) to the 57 and subtract that from 180
this will get you 33
Which sequence represents an arithmetic sequence?
A −5, −7, −10, −14, −19, …
B 1.5, −1.5, 1.5, −1.5, …
C 4.1, 5.1, 6.2, 7.2, …
D −1.5, −1, −0.5, 0, …
Answers
Answer:
D
Step-by-step explanation:
We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.
−5, −7, −10, −14, −19, …
Here difference between -5 and -7 is -2
But difference between -10 and -7 is -3
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
1.5, −1.5, 1.5, −1.5, …
Here difference between 1.5 and -1.5 is 3
But difference between -1.5 and 1.5 is 3
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
4.1, 5.1, 6.2, 7.2, …
Here difference between 4.1 and 5.1 is 1
But difference between 6.2 and 5.1 is 1.1
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
−1.5, −1, −0.5, 0, …
Here difference between -1.5 and -1 is 0.5
But difference between -1 and -0.5 is 0.5
⇒ Difference is constant.
Therefore, this sequence represents an arithmetic sequence.
plz mark brainliest
Answer:
D.−1.5, −1, −0.5, 0, …
Step-by-step explanation:
3. Find the mean and the median of this data set: 9,6,5, 3, 28, 6, 4, 7.
Answers
Answer:
Mean= 8.5
Median= 6
Step-by-step explanation:
3,4,5,6,6,7,9,28
Median= Middle (If two middle number, add and divide by 2)
Mean= (3+4+5+6+6+7+9+28) ÷8
Fractions is equipment to 3/8
Answers
Answer:
Step-by-step explanation:
It is eqivilent to 37.5
I think you meant to say "equivalent" instead of "equipment"
To find equivalent fractions to 3/8, you would multiply top and bottom by the same number.
If we multiply the top and bottom by 5 for instance, then
3*5 = 15
8*5 = 40
So 3/8 is equivalent to 15/40
--------------
Another example: multiply top and bottom by 9
3*9 = 27
8*9 = 72
This means 3/8 is equivalent to 27/72
-------------
Now let's say you were asked if 15/40 was equivalent to 3/8
To check this, you would assume they are equal, then cross multiply like so
15/40 = 3/8
15*8 = 40*3 ... cross multiply
120 = 120
Since we end up with the same thing on both sides, we have confirmed that 15/40 = 3/8 is a true equation.
Factor the trinomial 3x2 + 16x + 21
Answers
Answer:
(3x+7)(x+3)
Step-by-step explanation:
Factors 3x^2+16x+21
3x^2+16x+21
=(3x+7)(x+3)
Answer:
[tex]3 {x}^{2} + 16x + 21 \\ 3 {x}^{2} + 9x + 7x + 21 \\ 3x(x + 3) + 7(x + 3) \\ = (3x + 7)(x + 3)[/tex]
Evaluate 2a + 4b
if a = 10 and b = 6
Answers
Answer:
44
Step-by-step explanation:
Answer:44
Step-by-step explanation:
2(10)+4(6)
20+24
=44
PLEASE HELP WILL GIVE MOST BRAINLIEST!!!!
Answers
Answer:
48 ft cubed or 576 in cubed
Step-by-step explanation:
The volume of the water is 2304 in cubed. you multiply 12 in by 24 in by 8 in.
the rock makes the water go up 2 in. You then multiply 12 in by 24 in by 10 in. This will equal 2880 in cubed.
2880-2304=
576 in. cubed or 48 ft. cubed
To plot the point (3,4) on a scatter plot, which of the following steps should you follow? move three places vertically and four places horizontally move three places horizontally and four places vertically move three places vertically and three places horizontally move four places horizontally and four places vertically
Answers
Answer:
You should move 3 places horizontally, and 4 places vertically.
Step-by-step explanation:
Final answer:
To plot the point (3,4) on a scatter plot, you should follow:
Move three places horizontally and four places vertically.Explanation:
To plot the point (3,4) on a scatter plot, you should follow these steps:
First, move three places horizontally from the origin along the x-axis; this represents the x-coordinate of the point. Next, from that position, move four places vertically along the y-axis; this represents the y-coordinate of the point.
By doing this, you will have plotted the point (3,4) correctly on the scatter plot.
This process is based on the convention that the first number in the ordered pair (x,y) corresponds to the horizontal (x-axis) movement while the second number corresponds to the vertical (y-axis) movement.
Therefore, plotting a point on a scatter plot or any Cartesian plane involves finding the x-coordinate on the x-axis and then finding the y-coordinate on the y-axis and marking the point where these two meet.
[URGENT PLEASE HELP]
Which property is being used? 4.5 • (-1 • -6) [Distributive, Commutative, Associative, or Additive Inverse?]
Answers
Answer:
Line 1 Associative Additive inverse
Line 2 Associative, Additive inverse within brackets only and distributive.
Line 3 Associative
Line 4 is the Associative answer to 1
Step-by-step explanation:
Whilst we divide negative numbers as an inverse multiplication.
Where 4.5 x a negative 4 of the sum -1 would decrease by 2 decimals to 0.04 and so would the 5, they become additive inverse.
They can only be distributive if there are 2 multipliers.
3. The ratio of the side lengths of a parallelogram is 5:8, and its perimeter is 78 inches. What is the length
of the longer side?
Length of Long Side =
Answers
Answer: 48
5+8=13
78 divided by 13 equals 6
6 x 8(long side)=48
Step-by-step explanation:
The decay rate, k , for a particular radioactive element is 2.5%, where time is measured in years. Find the half life of the element. (Round to one decimal place)
Answers
Given a decay rate of 2.5% per year for a radioactive element, the half-life of this element, calculated using first-order kinetics, would be approximately 27.7 years.
Explanation:The question seeks to find the half-life of a radioactive element given a decay rate of 2.5% per year. To solve this, we need to utilize the concept of first-order kinetics which is used to model radioactive decay.
First, we express the decay rate as a decimal, thus 2.5% is 0.025. To find the half-life or T1/2, we can make use of the formula T1/2 = ln(2) / k, where k is the decay constant or rate.
By inserting the values into this formula, it would be T1/2 = ln(2) / 0.025 which gives us approximately 27.7 years (rounded to one decimal place) as the half-life of the given radioactive element.
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The half-life is 27.7 years.
Half-life is the time required for half of the radioactive atoms to decay in a sample. In this case, the decay rate k = 2.5% is equivalent to 0.025 in decimal form.
By using the formula t1/2 = ln(2) / k, we can calculate the half-life.
Plugging in k = 0.025,
t1/2 = ln(2) / 0.025
= 27.7 years.
Therefore, the half-life of the element is approximately 27.7 years.
Complete Question:
The decay rate, k, for a particular radioactive element is 2.5%, where time is measured in years. Find the half-life of the element.
The half-life is ___ years. (Round to one decimal place as needed.)
Which shapes make up this composite figure?
VX
a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder
Answers
Answer:
Answer is "A cylinder and two cones"
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
The expression y? - 10y + 24 has a factor of y-4. What is another factor of y? - 10y + 24?!
y-20
y-14
y-8
y-6
Answers
Answer:
y=6
Step-by-step explanation:
y² - 10y + 24
factor: y - 4
24 / -4 = -6
y - 6 is the other factor.
(y-4)(y-6) ⇒ y(y-6) -4(y-6) = y² - 6y -4y + 24 ⇒ y² - 10y + 24
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The other factor of the expression y² - 10y + 24, other than y - 4, is y - 6. The expression can be factored as (y - 4)(y - 6).
Explanation:The given expression is y² - 10y + 24. You have given that one factor is (y - 4). To find the other factor of the equation, we can divide the whole equation by (y - 4). By doing this, we find out that the other factor is (y - 6).
So, the expression y² - 10y + 24 can be factored as (y - 4)(y - 6).
This concludes that other than (y - 4), the other factor of the expression y² - 10y + 24 is (y - 6).
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A person is walking downhill at a constant speed. Which graph best represents the distance the person walks over time.
Answers
Answer:
Step-by-step explanation:
How many terms are in this polynomial?
Answers
Answer:
7 terms. number 2.
Step-by-step explanation:
Hope this helps!
help and explain pls
Answers
Answer:
108 cm^2
Step-by-step explanation:
Find the two angles that satisfy the equation. sin(3x + 2)° = cos(x+44)°
Answers
Answer:
x=21
Step-by-step explanation:
3x+2=x+44
3x+2-2=x+44-2
3x=x+42
3x-x=x+42-x
2x=42
42/2x
Answer:
35°, 55°
Step-by-step explanation:
sin(3x + 2)° = cos(x+44)°
Since sine and cosine are based upon right triangles, the two angles must add up to 90°. Thereby, 3x+2 + x+44 = 90. Combine like terms to get:
4x + 46 = 90 subtract 46 from both sides
-46 -46
4x = 44 divide both sides by 4
4 4
x = 11 plug that back into both angles
3(11) + 2 = 35; 11 + 44 = 55
What is the greatest common factor of 72
and 18?
Answers
Answer: 2, and 33
Step-by-step explanation:
Answer:
the greatest common factor is 18
How much does Troy pay for health insurance
each week?
Answers
Answer:
28.75
Step-by-step explanation:
15 + 8+ 8 + 5+ 2= 38%
Net pay = 100 - 38 = 62%.
100- 5 = 95%
575 times 95%= 546.25.
575 - 546.25= 28.75.
A right triangle has sides of length 3, 4, and x .Find x if it is the hypotenuse
Answers
Work Shown:
a = 3 and b = 4 are the two legs
c = x is the unknown hypotenuse
Use the pythagorean theorem to solve for c
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
c^2 = 25
c = sqrt(25)
c = 5
This question involves using the Pythagorean theorem to find the length of the hypotenuse of a right triangle. Given the lengths of the sides as 3 and 4, we find that the hypotenuse (denoted as 'x') is 5.
Explanation:The subject of this question is mathematics and it is related to finding the length of the hypotenuse of a right triangle using the Pythagorean theorem. In the case of this problem, the two sides of the triangle are given (3 and 4) and the hypotenuse (x) is what we are solving for.
The Pythagorean theorem is as follows: a² + b² = c². In this notation, a and b are the lengths of the two sides, and c is the length of the hypotenuse. Given that a is 3 and b is 4, to find out x (or c in the formula), we square each of those values (3² + 4²) and get 9 + 16, respectively. This means x² = 25, so the value of x (the hypotenuse) is √25, which equals 5.
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Rechel is paid $11 for every hour at her dog walking job she is also get tip.she earned a total of $73 for 6 hours of work.how much was her tip?
Answers
Answer:
So you would think 6 hours= 11$ so 6x11=66 now 73-66= 7 so her tip was 7 dollars
please mark me brainliest
Step-by-step explanation:
Answer:
1.16
Step-by-step explanation:
she earned 66 dollers the hour then she got and extra 1.16 for tip the hour and 7 dollers of tip the whole 6 hours
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What is the volume (V) and surface area (SA) of a rectangular prism that is 11 ft long, 8 ft wide, and 4 ft tall?Immersive Reader