Answer:
The solution to the system of equations
p = 0q = -50Hence, the value of q = -50
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}-16p-2q=100\\ p-4q=200\end{bmatrix}[/tex]
solving to determine the value of q
Multiply p − 4q = 200 by 16: [tex]16p-64q=3200[/tex]
[tex]\begin{bmatrix}-16p-2q=100\\ 16p-64q=3200\end{bmatrix}[/tex]
so adding the equations
[tex]16p-64q=3200[/tex]
[tex]+[/tex]
[tex]\underline{-16p-2q=100}[/tex]
[tex]-66q=3300[/tex]
so
[tex]\begin{bmatrix}-16p-2q=100\\ -66q=3300\end{bmatrix}[/tex]
solve -66q = 3300
[tex]-66q=3300[/tex]
Divide both sides by -66
[tex]\frac{-66q}{-66}=\frac{3300}{-66}[/tex]
[tex]q=-50[/tex]
substituting q = -50 in −16p − 2q = 100
[tex]-16p-2\left(-50\right)=100[/tex]
[tex]-16p+100=100[/tex]
Subtract 100 from both sides
[tex]-16p+100-100=100-100[/tex]
Simplify
[tex]-16p=0[/tex]
Divide both sides by -16
[tex]\frac{-16p}{-16}=\frac{0}{-16}[/tex]
[tex]p=0[/tex]
Thus, the solution to the system of equations
p = 0q = -50Hence, the value of q = -50
i need helppppppppp
Answer:
C.
Step-by-step explanation:
I checked it and it’s right I hope this helps!!
Please help with thissss
Answer:
180 degrees
Step-by-step explanation:
Lets call the unknown Angle next to angle C "ANGLE D"
1. Your given the angle 45 degrees.
2. (45 degree angle) can correspond to Angle D,
because of the alternate exterior angles definition- two lines (angles) that are on diagonal opposite sides of one another outside of the two parallel lines.
3: (45 degree angle) is an alternate exterior angle to its corresponding diagonal angle Angle D, this can also be said for (Angle C) and (angle B).
4: Now that the angles are known- (Angle C) is an alternate exterior angle to (Angle B). (45 degree angle) is an alternate exterior angle to Angle D
We can now use
The alternate Exterior angles Theorem- If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
4: we now know that (45 degree angle) is congruent to Angle D. And (angle C) is congruent to (angle B).
-Angle D and (45 Degree angle) are both 45 degrees since they are both alternate exterior angles to one another. And (Angle C) and (Angle B) have the same angle measure because they are alternate exterior angles to one another.
5: take a look at (angle C) and Angle D notice the transversal- (line that intersects two parallel lines), and how it creates a linear pair. Notice that the transversal has created the angles of (angle B) and (45 degree angle) to be linear pairs as well.
- Linear Pair definition- If two adjacent lines have rays pointing in opposite directions they are linear pairs.
Also the definition of a Linear Pair identifies as Supplementary. Supplementary is an angle that has a total of 180 degrees.
6: If (45 degree angle) and Angle B make a linear pair, and linear pairs have a total of 180 degrees, then solve for the angle measure of (angle B)
180= 45 + measure of (angle B)
180-45= 135
135 = measure of (angle B)
45 + 135= 180 degrees
7: The measure of (Angle B) is 135 degrees and since (Angle B) is congruent to (Angle C), the measure of (Angle C) is 135 degrees.
Therefore, (45 degree angle) and (Angle B) are 180 degrees total and (Angle C) and (Angle D) are 180 degrees total.
Now, that all exterior angle measures are found, it can be concluded that Angle A) is the same as the total measure of its exterior angle, since it is the same line that makes up the linear pair.
Therefore, (Angle a) is 180 degrees.
The sales tax for a certain state can be found by multiplying the purchase price by 1/10 . What is the sales tax on an item that is $25.60? Express your answer as a decimal.
If f(x) = x/2 - 3 and g(x) = 3x^2 + x - 6, find (f+g)(x)
[tex](f+g)(x) = f(x) +g(x)[/tex]
[tex](f+g)(x) = \left(\dfrac{x}{2}-3\right)+\left(3x^2+x-6\right)[/tex]
[tex](f+g)(x) =3x^2 +\dfrac{3x}{2}-9[/tex]
Someone please help me with this question
Answer:
Jinsoul from Loona
Step-by-step explanation:
In order to solve this problem, you must do the famous math operation: Jinsoul from Loona
Have a nice day!
Jose has 6 trucks some trucks are red
Answer:
Step-by-step explanation:
The element copper has 29 protons. What is the atomic number of copper?
Answer:
plz type the full question
Step-by-step explanation:
What is the quotient of - ? ? O A. 10 21 O B. 6 35 O C. 6 O D. 10
D.10
Step-by-step explanation:
because there are two question mark
Carl lives in an apartment and pays the following expenses each month: electric bill, $34.60; TV streaming service, $24.99; and rent, $527.85. Estimate his total expenses for the month by first rounding each value to the nearest tens place.
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 6/7 times 8 < 8
Step-by-step explanation: Do 6/7 times 8 which gives you 6 6/7 and 6 6/7 is less than 8.
Which of these are functions and which aren't?
Answer: the only function I see is 6
Step-by-step explanation:
Type the missing numbers
Answer:
-20, 0, 5
Step-by-step explanation:
it is counting by 5s in both directions
PLEASE HELP I WILL GIVE BRAINLIEST!!
14. Katherine and Christine work at the same restaurant. Each week, Katherine works 5 more
hours than Christine Katherine earns $7.00 per hour and Christine earns $8.00 per hour.
a) Write a simplified expression to represent the total number of hours Katherine and
Christine work in one week.
b) Write a simplified expression to represent the total amount they earn in one week.
c) Suppose Christine and Katherine worked 9 hours last week. What was the total amount
the girls earned last week?
Answer:.
Step-by-step explanation:
find the measure of
solve the formula for q. r/q=s
Answer:
q=rs
Step-by-step explanation:
r/q=s
*r
q=rs
Answer:
S=(Q-R)/RT
Step-by-step explanation:
please check if it is what you need
What is the slope of the graph?
Answer: 5/2... I know this because we use rise/run and it has a rise of 5 and a run of 2. Hope this helps! Good luck. :)
Step-by-step explanation:
Answer:
[tex]\displaystyle m=\frac{5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -5)
Point (2, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{0--5}{2-0}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{0+5}{2-0}[/tex][Fraction] Add/Subtract: [tex]\displaystyle m=\frac{5}{2}[/tex]Write an equation for the line passes through (0,0) and is parallel to a line that passes through (-5,3)and (2,1)
Answer:
28.9
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.
For every 2 boys in the class, there are 3 girls.
1) What is the ratio of girls to boys? Create a TAPE DIAGRAM to represent the ratio
I need help!!!! Thank you very much- :)
Classify the following triangle as acute, obtuse, or right.
O A. Acute
O B. Obtuse
O C. Right
O D. None of these
The triangle above is an obtuse triangle.
Acute triangle:
Acute triangle are triangles in which the internal angles are acute angles. This means the angles are less than 90 degrees.
Obtuse triangle
Obtuse triangle are triangle in which one of the internal angles measure more than 90 degrees.
Right angle triangleRight angle triangle are triangles that have one of its internal angles as 90 degrees
Therefore, base on our definition of this triangles, the triangle is an obtuse triangle.
learn more on triangle here; https://brainly.com/question/15557772
Can someone please help me
Answer:
992
Step-by-step explanation:
A researcher observes the level of aggression of six 5-year-old boys over the course of a school day. The number of incidents for the group of boys was 2, 4, 6, 12, 8, 10. What is the mean number of aggressive acts for this group of children
Answer:
7Step-by-step explanation:
Mean number = Sum of all the numbers/ Total number of old boys
Given the data
2, 4, 6, 12, 8, 10
Sum = 2+4+6+12+8+10
Sum = 42
Total number of old boys = 6
Substitute into the formula
Mean number of aggressive acts = 42/6
Mean number of aggressive acts = 7
Hence the mean number of aggressive acts for this group of children is 7
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power
9514 1404 393
Answer:
(x^(1/2))^2 = x^(2/2) = x
Step-by-step explanation:
The square root of a number, when multiplied by itself, gives the original number.
(√x)(√x) = x
The rule for exponents is that powers of the same base, when multiplied, will be the base to the sum of those powers.
(a^b)(a^c) = a^(b+c)
Also, the first power of a number is that number itself.
__
[tex]x^{\frac{1}{2}}\times x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\\\\ \text{Compare to ...}\\\\ \sqrt{x}\times\sqrt{x}=x[/tex]
Answer:
Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Step-by-step explanation:
EDGE 2020-2021
Question 7 of 12
64 =
O A. 9
OB. 7
C. 8
O D. 16
Pleaseee
Answer:7
Step-by-step explanation:
Answer:
OB and it is 7 because
Step-by-step explanation:
i did this before XD si i could had gave you answer to everyone
If f(x)=-x^2-1 and g(x)=x+5 then f(g(x)) =
Answer:
The composition of f(g(x)) is:
[tex]f(g(x)) = -x^2-10x-26[/tex]
Step-by-step explanation:
Given two functions are:
[tex]f(x) = -x^2-1\\g(x) = x+5[/tex]
we have to find the composition of f and g which can also be written as: fog(x) or f(g(x))
The method to find the composition is that we will put the function g in place of x in function f
[tex]f(g(x)) = -(x+5)^2-1\\=-(x^2+25+10x)-1\\=-x^2-25-10x-1\\=-x^2-10x-26[/tex]
Hence,
The composition of f(g(x)) is:
[tex]f(g(x)) = -x^2-10x-26[/tex]
28
Select the correct answer.
The drama club has records of the length of the annual school plays for the last 10 years.
The length of the annual school play was 80 minutes initially. They then decided to increase the length of the play by 5 minutes every year for
the next 4 years. For the next 3 years, the length of the annual school play was constant. For the last 3 years, the length of the annual school play
was reduced by 10 minutes every year.
Which graph models the piecewise function for the given situation?
What is Judicial Review? Describe it in detail, please.
If the triangle is
the incenter, orthocenter, circumcenter, and centroid are all the same point.
A)
equilateral
B)
obtuse
C)
right
D)
scalene
Answer:
Obtuse
Step-by-step explanation:
plzzz give brainliest
A class has 18 students. The teacher asks how many students in the class have pets. If 5/9 of the students have pets, how many students in the class have pets?
Write as a Fraction 65%
Answer:
13/20
Step-by-step explanation:
If t = -3, then 3t2 + 5t + 6 equals
Answer:
72
Step-by-step explanation:
Answer: mmm when I did it it going to be the same answer because There are no like terms. Here look at the picture
Step-by-step explanation: hope this help
what does inf,one,none,intro mean
Answer: hi
Step-by-step explanation: :)