Answers
x(x) = x²
x(9) = 9x
-2(x) = -2x
-2(9) = -18
x² + 9x - 2x - 18
simplify by combining like terms
x² + 9x - 2x - 18
x² + 7x - 18
x² + 7x - 18 is your answer
hope this helps
Related Questions
The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root?
Check all that apply.
A. 3 to 4
B. 5 to 6
C. 0 to 1
D. -1 to -2
E. 2 to 3
F. 1 to 2
Answers
What is the volume of this object?
A)
24 mm3
B)
36 mm3
C)
48 mm3
D)
60 mm3
Answers
Answer:
(A) 24 [tex]mm^{3}[/tex]
Step-by-step explanation:
Length of the first piece = 8 - 6 = 2 mm
Width of the first piece = 1 mm
Height of the first piece = 6 mm
Volume of the first piece = 2 × 1 × 6= 12[tex]mm^{3}[/tex]
Length of the second piece = 6 mm
Width of the second piece = 1 mm
Height of the second piece = 6 - 4 = 2 mm
Volume of the first piece = 6 × 1 × 2= 12[tex]mm^{3}[/tex]
Volume of the entire solid = 12 + 12 = 24 [tex]mm^{3}[/tex]
Judy makes a lemon pie. Judy cuts the lemon pie into six equal pieces. Judy wants to share the pie with her friend, Edith. Judy eats one piece of the lemon pie. Edith eats one piece of the lemon pie. Judy says that each of them are one - sixth of the lemon pie. Edith says that each of them are two sixths of the lemon pie. Who Is correct?
Answers
Both Judy and Edith are correct. They each ate one-sixth of the lemon pie.
Explanation:Judy and Edith are discussing how much of the lemon pie they each ate. Judy claims that they each ate one-sixth of the pie, while Edith says they ate two-sixths. To determine who is correct, let's break it down:
Judy cut the pie into 6 equal pieces.Judy ate 1 piece, so she ate 1/6 of the pie.Edith also ate 1 piece, so she also ate 1/6 of the pie.Therefore, both Judy and Edith are correct. They each ate one-sixth of the lemon pie.
An orange has about 1/4 cup of juice. How many oranges are needed to make 2 1/2 cups of juice? Select all equations that represent this question. Plz answer!
Answers
Answer:
The answer is
D (2 1/2)/(1/4)
And 10
Oranges are needed to make 2 1/2 cups of juice
Step-by-step explanation:
From the given expression
We can solve the problem
If we state it out Mathematically
Step one
1 orange will give 1/4 cup of juice
x orange will give 2 1/2 cups of juice
Step two
By cross multiplication we have
x=( 2 1/2)/(1/4)
Let's convert the mixed fraction
2 1/2
to proper fraction we have 5/2
x=( 5/2)/(1/4)
x=5/2*4/1
x=20/2
x=10
Which should be used to measure the length of a bookcase?
A.
thermometer
B.
tape measure
C.
clock
D.
scale
Answers
The correct answer to your question is option B.
If you wanted to measure the length of a bookcase, you would want to use a tape measure. A thermometer is used to check the temperature of something, a scale is used to check the weight of something, and a clock checks the time.
A scale, clock, and thermometer will not measure length.
Hope this helps you.
Have a great day!
which of the following terms- radius, chord, diameter , tangent and or secant describes the hypotenuse of a right triangle inscribed in a circle?explain your answer in complete sentences
Answers
Final answer:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
Explanation:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
This can be explained using the Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this case, the hypotenuse of the right triangle represents the diameter of the circle.
For example, if the lengths of the legs of the right triangle are represented by a and b, then the length of the hypotenuse (diameter) represented by c can be calculated as c = √(a² + b²).
The term that describes the hypotenuse of a right triangle inscribed in a circle is the diameter. This is based on Thales' theorem, which states that the hypotenuse of a right triangle inscribed in a semicircle is the diameter of the circle.
Explanation:The hypotenuse of a right triangle inscribed in a circle is described by the term diameter. When a right triangle is inscribed in a circle, the hypotenuse always corresponds to the diameter of that circle. This is because, according to the Thales' theorem, a right angle in a semicircle suggests that the side opposite the right angle of an inscribed triangle (the hypotenuse) must be the diameter of the circle. Furthermore, the relationship between the sides and the hypotenuse of a right triangle is given by the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
Someone help pretty please!
Answers
y > (2/3)x + 1
The boundary line is the equation y = (2/3)x + 1 which can be found through the slope formula to get m = 2/3. Then you use one of the two points on the line to find b = 1.
The equal sign in y = (2/3)x + 1 changes to a "greater than" sign to indicate two things
A) The shaded region is above the boundary line
B) The boundary line itself is a dashed line to indicate "no solution points on this line"
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Answers
Answer:
(04.02) The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the ratio of red paint to white paint in the paint color?
It is 1:16.
It is 16:1.
It is 5:1.
It is 1:5. it is this one
Step-by-step explanation:
The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
From the table,
The ratio of quarts of red paint to quarts of white paint is
4:20
= 1:5
5:25
= 1:5
7:35
= 1:5
8:40
= 1:5
The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.
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Pam asked a bank teller to cash a check for $130. The teller gave Pam a total of 9 bills. She received $10 bills and $20 bills. How many of each type of bill did Pamela receive?
Answers
On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape. Note: Lines that look parallel are parallel, and lines that look congruent are congruent.
Answers
Answer:
To decompose this shape I would draw a vertical line from the vertex that is pointing outside to the vertex that is pointing inside. By doing this the vertical line will give me 2 congruent parallelograms. Yes it's that simple
Step-by-step explanation:
A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number less than 10 is selected? Enter your answer as a fraction, in simplest form, in the box. P(< 10) =
Answers
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
P=size of the event space/size of the sample space
in this problem
size of the sample=9-------> set. {2, 4, 6, 9, 16, 44, 51, 60, 78}
size of the event space=4---->number less than 10--> {2, 4, 6, 9}
P=4/9
the answer is
P(< 10) = 4/9
A triangle has an area of 36 square feet. if the height of the triangle is 6 feet more than its base, what are the height and base.
Answers
Two videos on viewtube.com were recently uploaded. One is a playful kitten video and the other is a laughing baby video. The kitten video had 101010 views in the first minute after it was uploaded, and the cumulative number of views increases by 505050 views each minute. The baby video had 333 views in the first minute after it was uploaded, and the cumulative number of views increases by a factor of approximately 3.53.53, point, 5 each minute. In which minute will the baby video's cumulative number of views first exceed the kitten video's cumulative number of views?
Answers
ANSWER IS 5 ;Notice that the kitten video's number of views grows linearly while the baby video's number of views grows exponentially.This means the baby video's number of views is bound to exceed the kitten video's number of views at some point.Let's start calculating each video's cumulative number of views to see when that happens.
Minute Kitten videoBaby video(Add 5 each minute.)(Multiply by 3.5, point, each minute.)In conclusion, the baby video's cumulative number of views will first exceed the kitten video's cumulative number of views in minute number 5.
Answer:
5
Step-by-step explanation:
NEED HELP FAST PLEASE 3 Fair number cubes with sides number 1 through 6 were tossed in the air was the probability that all three cubes will land on an even number
Answers
∗ 3/6 of them are even.
∗ 3/6 reduces to 1/2
∗ 1/2 • 1/2 • 1/2 = 1/8
⋆ The probability is 1/8 ⋆
♡´･ᴗ･`♡вяαιиℓιєѕт ρℓєαѕє♡´･ᴗ･`♡
Caroline's bedroom is the shape of a rectangular prism that measures thirteen feet long, ten feet wide, and 9 feet high. What is the surface area of her room?
Answers
meaning
2 sides 13*10*2= 260
2 sides 13*9*2= 234
2 sides 9*10*2= 180
so then add all the areas up and you get 674 ft^2
Which one expression could represent the approximate population of the small town
Answers
6,000,000 ÷ 15 = 400,000
it would be 400,000 or 4x10^4
Which expression is equal to 5p? p + p + p + p + p 4p + 1 p + 5 p3 + p2
Answers
Raj made this argument:
The Triangle Inequality Theorem states that if the lengths of three sides of a triangle are a, b, and c, then a + b > c. For this reason, since a, b, and c are all positive numbers, the square of a + b must be greater than the square of c. However, for a right triangle, the Pythagorean Theorem states that if the lengths of the legs are a and b, and if the length of the hypotenuse is c, then a2 + b2 = c2, not a2 + b2 > c2. Therefore, since the Pythagorean Theorem is known to be correct, and since right triangles should adhere to the Triangle Inequality Theorem, the Triangle Inequality Theorem must be incorrect.
What is wrong with Raj’s argument?
A) The square of a + b is not equal to a2 + b2.
B) One cannot assume that a, b, and c are all positive numbers.
C) It’s not true that right triangles should adhere to the Triangle Inequality Theorem.
D) It’s not true that according to the Triangle Inequality Theorem, a + b > c.
Answers
_____
(a +b)^2 = a^2 +b^2 +2ab, so is greater than a^2 +b^2 for a > 0, b > 0.
Bryce has to complete 100 minutes of writing every ten days. He writes for 10 minutes each day. What fraction of his writing requirement does Bryce complete in five days? Write in simplest form.
Answers
The percentage of his total requirement would be 50/100 = 0.5 = 50%.
After 5 days, he writes for 50 minutes because
10 x 5 = 50
50 is 1/2 of 100. He has done 1/2 of his requirement.
Hope this helps!
Mary's age is 5 times Jose's age. The sum of their ages is 18. How old is each?
Answers
Mary is 15 years old and Jose is 3 years old. This is determined by setting up a system of linear equations based on the relationship of their ages and solving for their individual ages.
Explanation:The question involves solving a system of linear equations to find the ages of Mary and Jose. Let's denote Mary's age as M and Jose's age as J. According to the problem, Mary is five times older than Jose, so we have M = 5J. Additionally, the sum of their ages is 18, which gives us a second equation: M + J = 18.
To solve for both ages, substitute the first equation into the second to get: 5J + J = 18. Combining like terms, we get 6J = 18. Dividing both sides by 6 gives us J = 3. This means Jose is 3 years old. To find Mary's age, we substitute J back into the first equation: M = 5(3), resulting in M = 15, so Mary is 15 years old.
To solve this problem, set up a system of equations where Mary's age is M and Jose's age is J. Use substitution method to solve the system. Mary is 15 years old and Jose is 3 years old.
Explanation:To solve this problem, we can set up a system of equations. Let's assume that Mary's age is M and Jose's age is J. We are given two pieces of information: 1) Mary's age is 5 times Jose's age, so we can write the equation M = 5J, and 2) the sum of their ages is 18, so we can write the equation M + J = 18.
Now we have a system of two equations with two variables:
M = 5JM + J = 18We can solve this system by substitution or elimination. Let's use the substitution method. From equation 1, we know that M = 5J. We can substitute this value of M into equation 2 and solve for J:
5J + J = 18
6J = 18
J = 3
Now that we know J, we can substitute this value into equation 1 to find M:
M = 5(3) = 15
Therefore, Mary is 15 years old and Jose is 3 years old.
write a word phrase for the algebraic expression 2+-9
A. nine fewer than two times a number t
B. nine more than two times a number t
C. nine fewer than a number t
D. nine more than a number t
Answers
The -9 portion translates to "nine fewer"
The 2t is "two times a number t"
put together, 2t-9 translates to "nine few than two times a number t"
Which inequality can be used to find how many $2.50 fruit packs can be purchased for $15.00? Use f to represent fruit snacks
Answers
The inequality that can be used to find how many $2.50 fruit packs can be purchased for $15.00 is 2.50f ≤ 15, where f represents the number of fruit packs. Therefore, you can purchase up to 6 fruit packs with $15.00.
Explanation:To find how many $2.50 fruit packs can be purchased for $15.00, we can use the inequality:
2.50f ≤ 15
where f represents the number of fruit packs.
To solve the inequality, we divide both sides by 2.50:
f ≤ 6
Therefore, you can purchase up to 6 fruit packs with $15.00.
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What will be the location of T in the image trapezoid
Answers
about what percent of the total area of hals backyard is the area taken up by the patio, walkway, and garden
Answers
This is the picture. Can you tell me the answer?
The top of a hill rises 77 ft above checkpoint 1. What is the altitude of the top of the hill? Checkpoint 1 is -173 ft above sea level.
Answers
what is the slope of PQ is p is (-8,2) and Q is (4,2)
Answers
Tyrone has calculated that his house is 352 yards away from school. How far is this in miles? (1 mile = 1760 yards)
A More than 0.75 miles
B Less than 0.25 miles
C Between 0.5 and 0.75 miles
D Between 0.25 and 0.5 miles
Answers
Actual distance is 20 mi
---------------------------------------
Flip the left and right side:
---------------------------------------
1760 yards = 1 mile
---------------------------------------
Find 1 yard
---------------------------------------
1 yard = 1/1760 miles
---------------------------------------
Find 352 yards
---------------------------------------
352 yards = 1/1760 x 352
352 yards = 0.2 miles
---------------------------------------
Answer: Less than 0.25 miles (Answer B)
---------------------------------------
Tristan’s fish is 1/2 yard long, 1/6 yard wide, 1/3 yard high. What should the side lengths of each cubic block used to find the volume be?
Answers
1/2 x 1/6 x 1/3= 1/36
The volume is 1/36
Answer:
The answer is 1/6 yard
Step-by-step explanation:
The length, width, and height of a cube are equal. Each cubic block must have the same length, width, and height:
Length of tank= 1/6 yard = 1/6 yard = 3 x 1/6 yard
Height of tank: 2/6 yard = 2 x 1/6 yard
width of tank= 1/6 yard
Because the length and height of the tank are multiples of the width, the length of each cubic block should be equal to the width of the tank:
= 1.6 yard
Anyone help me with this?
Answers
0.5 T = 1000 lb
1.25 T = 2500 lb
Jake's trailer can have a load of 5000 -2500 = 2500 lb. Since each horse is 1000 lb, Jake can only load 2 of them into the trailer and stay under his load limit.
What is the probability of rolling a die and getting a 4 twice in a row
Answers
The probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given example,
When a die is rolled 3 times,
Total number of outcomes are,
[tex]\Rightarrow n(S) = 6^2\\\\ \Rightarrow n(S)= 36[/tex]
The probability of getting a 4 when a die is rolled is [tex]\frac{1}{6}[/tex]
[tex]\Rightarrow P(4)=\frac{1}{6}[/tex]
We want the probability of getting a 4 twice in a row.
So, the required probability is,
[tex]\Rightarrow P=P(4)\times P(4)\\\\\Rightarrow P=\frac{1}{6} \times \frac{1}{6}\\\\ \Rightarrow \bold{P=\frac{1}{36}}[/tex]
Therefore, the probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]
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