Answer:
the sum of the measures of angle B and angle C will also be 128 degrees meaning that the sum will decrease by 24 degrees.
Which of the following best describes the expression 7(x + 9)?
A.) The product of a constant factor 7 and a 2-term factor x + 9
B.) the sum of a constant factor 7 and a 2-term factor x + 9
C.) the sum of a constant factors 7 and x + 9
D.) the product of a constant factors 7 and x + 9
A.
got it right on my test, flvs
convert 72832 ounces' to tons?
Which expression represents the composition [f o g](x) for the functions below? f(x) = 2x + 3 g(x) = x – 6
2x – 9
2x – 3
2x – 15
2x2 – 9x – 18
Answer:
Option A is correct
2x-9
Step-by-step explanation:
Given the functions:
f(x) = 2x + 3
g(x) = x -6
We have to find [f o g](x).
[tex][fog](x) = f[g(x)][/tex]
Substitute the function g(x),
[tex][fog](x) = f[x-6][/tex]
Replace the value of x with x-6 in f(x) we have;
[tex][fog](x) =2(x-6)+3[/tex]
⇒[tex][fog](x) =2x-12+3[/tex]
⇒[tex][fog](x) =2x-9[/tex]
Therefore, the value of [tex][fog](x)[/tex] is, 2x-9
Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield? 6 and 1 over 2 ⋅ 1 over 4 6 and 1 over 2 ÷ 1 over 4 6 and 1 over 2 + 1 over 4 6 and 1 over 2 − 1 over 4
Answer:
6 and 1 over 2 ÷ 1 over 4
Step-by-step explanation:
Given,
The total cups in a recipe = 6 and 1 over 2 cups
[tex]=6\frac{1}{2}\text{ cups}[/tex]
Also, the cups in each serving = 1 over 4 cup
[tex]=\frac{1}{4}\text{ cups}[/tex]
Hence, the number of servings = [tex]\frac{\text{total cups in a recipe}}{\text{cups in each serving}}[/tex]
[tex]=\frac{6\frac{1}{2}}{\frac{1}{4}}[/tex]
= 6 and 1 over 2 ÷ 1 over 4
Second option is correct.
The probability of drawing a blue card is 5/11 what is the probability of NOT drawing a blue card?
PLEASE HELP ME!!!
What is the simplified form of the quantity 15 x y squared over x squared minus 5x plus 6 all over the quantity 5 x squared y over 2x squared minus 7x plus 3 ?
Answer: [tex]\frac{3y(2x-1)}{x(x-2)}[/tex]
Step-by-step explanation:
Given problem to simplify is [tex]\frac{\frac{15xy^2}{x^2-5x+6} }{\frac{5x^2y}{2x^2-7x+3} } \\\\=\frac{15xy^2}{x^2-5x+6}\cdot\ \frac{2x^2-7x+3} {5x^2y}............\text{(by fractional division property,the denominator invert and its reciprocal multiply to numerator)}\\\\=\frac{15xy^2}{(x-3)(x-2)}\cdot\frac{(x-3)(2x-1)} {5x^2y}.........\ \text{(factorizing quadratic equation)}[/tex]
[tex]=\frac{3y(2x-1)}{x(x-2)}........\text{(cancelling like terms with same degree and coefficients from numerator and denominator)}[/tex]
so the simplified form of the given problem is [tex]\frac{3y(2x-1)}{x(x-2)}[/tex]
Find the slope and y-intercept of the line. y = 7/5x – 3
Answer:
Slope is [tex]\frac{7}{5}[/tex]
y-intercept is -3
Step-by-step explanation:
Given equation of line,
[tex]y=\frac{7}{5}x-3[/tex]
Since, the slope intercept form of a line is y = mx + c
Where, m is the slope of the line,
By comparing,
[tex]m = \frac{7}{5}[/tex]
Hence, the slope of the given line is [tex]\frac{7}{5}[/tex]
Now, for y-intercept,
x = 0,
[tex]y=\frac{7}{5}(0) - 3 = -3[/tex]
Hence, the y-intercept of the line is -3.
what is the decimal representation of 27/100?
Chale bought some packages of pens. He bought one package containing 5 pens and *n* packages containing two pens each. Which of the following expressions could be used to find the total number of pens that Chale bought?
A)7n
B)10n
C)5n+2
D)2n+5
what is the converse to the following conditional statement if x=12 then 2x-5=19
Final answer:
The converse of the given conditional statement 'if x=12 then 2x-5=19' is 'if 2x-5=19, then x=12'. To verify its truth, we solve for x when 2x-5 equals 19, resulting in x equaling 12, thus showing that in this instance, the converse is true.
Explanation:
The converse of a conditional statement is formed by swapping the hypothesis and the conclusion of the original statement. For the statement 'if x=12 then 2x-5=19', its converse would be 'if 2x-5=19, then x=12'. To test the validity of the converse, we substitute the value of x back into the equation 2x-5 and check if it equals 19 when x=12.
However, we need to be cautious because the converse of a true conditional statement is not always true. To determine the truth of the converse, one must check if every instance where 2x-5 equals 19 also means that x must be equal to 12. If there is even a single case where 2x-5 is 19 and x is not 12, then the converse is not true.
For instance, let's test the converse: If we solve the equation 2x-5=19 for x, we get:
x = (19+5)/2
x = 24/2
x = 12
Therefore, for this specific case, the original statement and the converse are both true.
find the area of triangle qpm. round the answer to the nearest tenth. a. 5.2 square units b. 6.3 square units c. 6.5 square units d. 12.6 square units
We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
A set of equations is given below: Equation E: c = 2d + 1 Equation F: c = 3d + 7 Which statement describes a step that can be used to find the solution to the set of equations? (1 point)
Equation F can be written as c = 3(c – 1) + 7.
Equation F can be written as c = 2(c – 7) + 1.
Equation F can be written as d + 1 = 3d + 7.
Equation F can be written as 2d + 1 = 3d + 7.
ms campbell invested $7200 for 2 1/2 years. if she earned $756, at what rate did she invest her money. using I=PRT and the answer in percent form
Given I=PRT
Rearrange the formula to find R
I / PT= R
756 / (7200 * 2.5) = R
756 / 18000 = R
0.042 = R
so R = 4.2%
Solve 5^x=81. 2
Round to the nearest ten-thousandth.
X≈????
Suppose $16,537.50 in interest was earned after $75,000 was invested at a simple interest rate of 3.15%. How long (in years) was the money invested?
Answer:
7 Years
Step-by-step explanation:
A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as a whole. How many points does each girl average?
8 x 12 = 96
136-96 =40
40/4 = 10
each girl averages 10 points
In a group of 60 students, 12 students take Algebra I, 18 students take Algebra II, and 8 students take both subjects. How many students don't take either of these subjects?
M to the second power equals 49. Is it 7?
The table shows the ratio of caramel corn to hot pepper corn in a bag. What is the constant of proportionality?
Hot Pepper Corn | Caramel Corn
5_______________8
10 _____________ 16
15______________ 24
Which of the binomials below is a factor of this trinomial? x2 - 5x - 36 A. x + 4 B. x - 4 C. x2 + 7 D. x - 7
Option A is correct, x+4 is the binomial factor of the given trinomial x² - 5x - 36
What is Polynomial?
Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given trinomial is x² - 5x - 36
Now we have to factorize the given polynomial.
x² - 9x +4x - 36
x(x-9)+4(x-9)
(x+4)(x-9)
The factorial form of the trinomial x² - 5x - 36 is (x+4)(x-9)
So x+4 is the binomial factor of the given trinomial.
Hence, Option A is correct, x+4 is the binomial factor of the given trinomial x² - 5x - 36
To learn more on Polynomials click:
https://brainly.com/question/11536910
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The Tunnel of Fear ride climbs straight up to its peak 50 meters above the ground. Then, it drops 65 meters into an underground tunnel. What is the elevation of the tunnel relative to the ground?
Answer:
-15
Step-by-step explanation:
Which polynomial is a difference of two squares?
x2 − 16
x2 + 16
x2 − 8
x2 + 8
Jaime drew a square that has sides that are whole numbers of centimeters. Which could not be the area of Jaime's square? A. 25cm2 B. 36cm2 C. 50cm2 D. 64cm2
Final answer:
To find the area of a square, we use the formula A = s², where A represents the area and s represents the length of a side. Evaluating the options, the area that could not be Jaime's square is C. 50cm².
Explanation:
To find the area of a square, we need to multiply the length of one side by itself. So, the formula for the area of a square is A = s², where A represents the area and s represents the length of a side. We can evaluate the given options using this formula:
A. 25cm²: This could be the area of Jaime's square since 5² = 25.B. 36cm²: This could be the area of Jaime's square since 6² = 36.C. 50cm²: This could not be the area of Jaime's square since there is no whole number that can be squared to give 50.D. 64cm²: This could be the area of Jaime's square since 8² = 64.Therefore, the answer is C. 50cm².
In three more years Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's grandfather present age is added to his grandfathers age is added to his grandfathers present age the total is 68. How old is his grandfather now ?
What is the solution to the equation x + 8.5 = 64.5? 7.6 48 56 73
What process can you use to help you write a system of linear equations when dealing with mixture problems
In a line of students, Jenna is number 8. The teacher says that a rule for a number pattern is add 4. The first student in line says the first term, 7. What number should Jenna say?
Cual es el minimo comu multiplo de 81,27,9
a washer and dryer cost $978 combined the washer cost $78 more than the dryer what is the cost of the dryer
Answer:
$450
Step-by-step explanation:
2x+78=978
2x=900 [subtract 78 from both sides]
x=450 [divide both sides by 2]
A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the ship traveled 3 miles per hour faster heading north, at what speed was the ship traveling east?