4x² - 16 is the algebraic expression that must be added to get the result as 9x²- 2x - 5.
Step-by-step explanation:
The question is asked for the algebraic expression must be added to the sum of 3x²+4x+8 and 2x2−6x+3 to give 9x²- 2x - 5 as the result.
Therefore,
The first step is to find of sum of 3x²+4x+8 and 2x²-6x+3.
To find the sum :
3x²+4x+8
2x²-6x+3
5x²-2x+11
The sum is 5x²-2x+11.
Now, the second step is to subtract 5x²-2x+11 from the result 9x²- 2x - 5.
9x²- 2x - 5
- (5x²-2x+11)
4x² -16
Thus, 4x²-16 is the algebraic expression that must be added with 5x²-2x+11 to get a result of 9x²- 2x - 5.
pleasee explainnnn #23
HELP ME I VERY STRESSED(⓿_⓿)
This pattern follows the rule add 9. What are the next 3 terms?
An image of a pattern. Term one has 9 triangles, term two has eighteen triangles, term three has twenty-seven triangles.
A. 36, 45, 54
B. 39, 48, 57
C. 42, 51, 60
D. 54, 63, 72
The next three terms in the pattern following the rule 'add 9' are 36, 45, and 54.
Since the pattern follows the rule of adding 9 to get to the next term, we can simply continue this pattern from the last given term, which is twenty-seven triangles. Therefore:
Term four would have twenty-seven plus nine triangles, giving us 36 triangles.
Term five would be thirty-six plus nine, which results in 45 triangles.
Term six is forty-five plus nine, totaling 54 triangles.
The next three terms in the pattern following the rule 'add 9' are 36, 45, and 54.
volume and area question!-please help me answer it
This cuboid is made from centimetres cubes
write down the volume of the cuboid
using the image below
the cuboid is then split in half
Answer:
72 for q1 and q2 is 18
Step-by-step explanation:
Final answer:
To find the volume of a cuboid, multiply its length, width, and height. If made of 1 cm cubes, the volume is the number of these cubes. Halving the cuboid evenly would halve its volume.
Explanation:
To calculate the volume of a cuboid, you multiply the length, width, and height of the cuboid. The question doesn't provide specific dimensions, but assuming that you have them, the formula you would use is Volume (V) = length × width × height. If the cuboid consists of centimeter cubes, each with a side length of 1 cm, the volume in cubic centimeters will be equal to the number of these small cubes.
For example, let's say the dimensions of the cuboid are 5 cm × 3 cm × 4 cm. The volume would then be calculated as V = 5 cm × 3 cm × 4 cm = 60 cm³.
If the cuboid is split in half, the resulting two pieces would each have a volume that is half of the original total volume, assuming the split is made evenly.
how many times larger is 2000 than 2
Answer:
1000 times
Step-by-step explanation:
You can figure this out by counting the place values that separate them. :D
what is the domain and range?
Answer:
The domain is all real numbers, and the range is (y ≤ 0)
Step-by-step explanation:
It's best to start graphing piecewise functions by reading the "if" statements first, and you'll most likely shorten the chance of making an error by doing so.
y = x - v/b ; solve for x
Answer:
x = y + v/b
Step-by-step explanation:
You can solve for x by adding v/b to both sides since that is what will isolate x the quickest and that is what you want to do when you need to solve for something.
By adding v/b to both sides, you will end up with x=y+v/b and that’s your answer!
Hope this helps!
(Credit to math-way)
1) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. List the sample space for the experiment.
2) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. Calculate the probability (in simplest form) of b. P(B)
3) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. Calculate the probability (in simplest form) of g. P(G)
Answer:
2
Step-by-step explanation:
Simple
Which function represents exponential growth?
HELP ME PLEASE WITH THIS
The temperature rises 22 degrees from 5 am to noon. The temperature drops 18 degrees from noon to 7 pm. The temperature drops another 6 degrees between 7 pm and 5 am . If the temperature at 5 am on the next morning is 63° F, what was the temperature at 5 am on the first morning?
Answer:
65˚
Step-by-step explanation:
You do everything opposite:
63˚+6˚=69˚
69˚+18˚=87˚
87˚-22˚=65˚
Please tell me if i'm wrong.
the price of a guiter was decreased by 15% and sold for 275.99. what was the orignal price of the guiter in dollers?
Answer: 317.39
Step-by-step explanation:
The price of the guitar decreased by15%
Original price is 275.99
To get the reduced amount
It will be 15% of the exact amount and add to the exact to get the original
15/100×275.99
=41.3985
To get exact,
reduced amount + sold price
=41.3985+275.99
=317.3885
=317.39
What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
Answer: 8
Step-by-step explanation:
As per the given volume and radius of the cylinder, the height of the cylinder in the diagram is approximately 8 cm.
In order to determine the height of the cylinder in the given diagram, we first need to understand the formula for calculating the volume of a cylinder. The formula for the volume of a cylinder is
=> V = π * r² * h,
where V represents the volume, π is a constant (approximately equal to 3.14159), r is the radius, and h is the height of the cylinder.
In the provided information, we are given that the radius of the cylinder is 6 cm (radius = 6 cm) and the volume of the cylinder is 904.78 cm³ (V = 904.78 cm³).
Now, we can rearrange the volume formula to solve for the height (h) of the cylinder. Divide both sides of the formula by (π * r²):
h = V / (π * r²)
Substitute the known values:
h = 904.78 cm³ / (3.14159 * 6²)
h = 904.78 cm³ / (3.14159 * 36)
h = 904.78 cm³ / 113.09724
h ≈ 7.99998 cm
Rounding the answer to the nearest whole number, the height of the cylinder is approximately 8 cm.
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A jewelry box has a length of 3 1/2 units, a width of 1 1/2 units, and a height of 2 units. What is the volume of the box in cubic units?
Answer:
10 1/2 or 10.5
Step-by-step explanation:
V=l*w*h
Volume = length * width * height
length = 3 1/2 = 3.5
width = 1 1/5 = 1.5
height = 2
input the values V = 3.5 * 1.5 *2
multiply the first two numbers 3.5 * 1.5 = 5.25
multiply the first result by the third number 5.25 * 2 = 10.5
Volume = 3.5 * 1.5 *2= 5.25 * 2 = 10.5 = 10 1/2
3 1/2 * 1 1/5 * 2 = length * width * height = Volume = 10 1/2
Volume = 10 1/2
Mr Gordon bought 2 1/2 pounds of apples 1.25 pounds of pears and 3 3/4 pounds of oranges to his sister on the way home . How many pounds of fruit did me Gordon take to his home
Answer:
7.5 or 7 1/2 pounds of fruit.
Step-by-step explanation:
2.5 (2 1/2) + 1.25 (1 1/4) = 3 3/4 (3.75). 3 3/4 + 3 3/4 = 7 1/2 (7.5) pounds of fruit in total.
factor completely: 21a+27
Answer:
3(7a + 9)
Step-by-step explanation:
21a + 27
3(7a + 9)
When you expand
3 x 7a + 3 x 9
21a + 27
An airplane is flying at an altitude of 6 miles (approximately 32,000 feet) toward a point directly above where you are standing. If you are standing x miles away from a spot that is perpendicular to the plane, what is the equation that relates the angle as a function of x? Then, using that equation, solve for when x is 2 miles.
Answer:
angle = arc tangent(6/x)
for x=2 -> angle = 71.565°
Step-by-step explanation:
To find the relation of the distance x and the angle of elevation that you are seeing the airplane, we should use the tangent relation of the angle. The opposite side of the angle is the altitude of the airplane, and the adjacent side of the angle is the distance x.
So we have that:
tangent(angle) = 6/x
angle = arc tangent(6/x)
If we have the value of x = 2, the angle will be:
angle = arc tangent(6/2) = arc tangent(3)
angle = 71.565°
Solve each equation a. 25-3x=40
b. 1/3(x-10)= -4
What does x equal to for each equation?
Answer:
a. x = -5
b. x = -2
Step-by-step explanation:
a.
40=25-3x
40=25-(-15)
x should be -5 for a
b.
-4=1/3(x-10)
-4=1/3(-2-10)
-4=1/3(-12)
x should be -2 for b
123,000,000 as a multiple of a power of 10
123,000,000 as a multiple of a power of 10 is 1.23 x 10⁸.
What is power of 10?The large values when shortened, they are written in the form of power of 10 by shifting decimals.
123,000,000 has eight zeroes to reduce and taken to the power of 10. Put decimal after counting eight digits from the right.
123,000,000 can be written as 1.23 x 10⁸.
Thus, 123,000,000 as a multiple of a power of 10 is 1.23 x 10⁸.
Learn more about power of 10.
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To express 123,000,000 as a multiple of a power of 10, we identify it as 1.23 x 10^7.
The question asks to express 123,000,000 as a multiple of a power of 10. To do this, we need to understand how exponents of 10 work. The exponent tells us how many zeros are added to the right of 1 to create the number. For instance, 10^2 equals 100 because there are two zeros.
In the case of 123,000,000, we count the zeros following the initial digit(s). There are 7 zeros. Therefore, we can express 123,000,000 as 1.23 x 10^7. Here, 1.23 is the coefficient (a value greater than or equal to 1 but less than 10), and 10^7 indicates that the decimal point in 1.23 is moved 7 places to the right to get the original number, 123,000,000.
This method of notation is commonly used in scientific notation, which simplifies large numbers by expressing them as a multiple of a power of 10. It's a useful way to work with very large or very small numbers efficiently.
Can you help me find the answers please
Given:
(a) To determine the inequality for x for the given line.
Inequality:
Since, from the figure, it is obvious that the number line contains an open circle at the point 3.
This means that the end value 3 is not included in the interval.
Hence, the inequality can be written as [tex]x<3[/tex]
Thus, the inequality for x is [tex]x<3[/tex]
(b) Given that [tex]2<y<6[/tex] where y is an integer.
We need to determine the possible values of y.
Values of y:
The values of y lie between 2 to 6. Since, the inequality is strictly lesser than, it does not contain the end value.
Therefore, the possible values of y are 3,4,5
(3) Given the inequality [tex]3 x+7>x+19[/tex]
We need to solve the inequality.
Solution:
[tex]3 x>x+12[/tex]
[tex]2 x>12[/tex]
[tex]x>6[/tex]
Thus, the solution of the inequality is [tex]x>6[/tex]
im pretty sure im correct because the "|" (vertical lines) mean absolute value right?
You are absolutely correct! Great job
fill in the missing justifications in the correct order
Answer:
Distributive property
commutative property
combine like terms or write a equivalent expression
Step-by-step explanation:
by definition it’s
Distributive property
commutative property
combine like terms or write a equivalent expression
If PQR ~ SQT, find the value of x
The value of x is 15.
The calculation is as follows;Here first we add P and Q together that equals x+13
After this, it divide x+13 and 8 and make it equal to [tex]21\div x-9[/tex]
Now x should then equal 15
[tex]x+13\div 9 = 21\div x-9\\x^2+4x−117=168\\\\x^2 + 4x-285=0[/tex]
(x−15)(x+19)=0
x = 15
Therefore we can conclude that The value of x is 15.
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To find the value of x in a similar triangle question, you need to identify the corresponding sides and use their ratio to solve for x. In this case, PQR is similar to SQT, and the corresponding sides are PQ and SQ, PR and ST, and QR and QT. The ratio of the side lengths can be used to find the value of x.
Explanation:If two triangles are similar, it means that their corresponding angles are equal, and the ratio of their corresponding side lengths is constant. In the given question, PQR is similar to SQT. To find the value of x, we need to identify the corresponding sides and find the ratio between them. Let's assume that the corresponding sides are PQ and SQ, PR and ST, and QR and QT. The ratio of the side lengths can be written as:
x / (p + q) = PQ / SQ. Using this ratio, we can solve for x by multiplying both sides of the equation by (p + q):
x = (PQ / SQ) * (p + q)
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need an explanation and answer for -25/28 ÷ (5/4)
Answer:
-5/7
Step-by-step explanation:
When you divide fractions, you flip the second fraction, then multiply.
So it becomes -25/28 x 4/5.
This equals -100/140 which reduces to -5/7.
Over which interval(s) is the function decreasing? Please help me I will thank you and give you five stars ⭐️
What is the length of AB—?
Enter the correct value
Answer:
Step-by-step explanation:
Since it is a parallelogram so opposite sides are equal and parallel
4y = y + 18
4y - y = 18
3y = 18
y = 18 / 3
y = 6
Now
Length of AB = 4 * 6 = 24
hOPE IT HELPED :)
Answer:
y=6
AB= 24 units
Step-by-step explanation:
In a parallelogram the opposite or facing sides are equal therefore AB=CD
Hey! The faster this is done, the faster I love you. (No homo if you're a girl) BUT ANYWAY can anyone do this for me?
0.75 Sq. Ft2
Area of a Square= Side length x Side length
Answer = (Side length x Side length) square area
A coffeepot contains 1 1⁄2 quarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1⁄2 cups of coffee remain in the pot. How much coffee did Tonya pour into each cup?
Answer:
1.25cups(8oz/1cup)=10 ounces
Step-by-step explanation:
we convert 1 1/2 quarts to cups. There are 4 cups in a quart:
1 1/2 quarts= 3/2 quarts (4 cups/ 1 quart)= 6 cups
Amount poured out:
6 cups- 3.5 cups= 2.5 cups
Amount poured in each cup:
2.5/2=1.25 cups
What is the value of d?
Round your answer to the nearest tenth.
9.1 mm
11.9 mm
26.3 mm
34.1 mm
The figure shows acute triangle D E F. The measure of angle D is 25 degrees. The length of side D E is 21 millimeters. The length of side E F is d. The length of side F D is 27 millimeters.
Answer:
11.9
Step-by-step explanation:
just took the test :D
Which statement about the histogram is true
Answer:
Yea its B
Step-by-step explanation:
If j = 2 cm and k= 2.5 cm, what is the length of /?
A 1.5 cm
B. 2 cm
C. 1 cm
D. 3.5 cm
Answer:
d
Step-by-step explanation:
if yourw talking about diagonals its d
What is the volume of the figure below if a = 4 units, b = 5.9 units, and c = 2 units?
Answer:
111.2 units³
Step-by-step explanation:
Base area = 2(a² + ½ab)
2(4)² + (4)(5.9)
= 55.6 units²
Volume = Base area × c
55.6 × 2
= 111.2 units³