Answer:
x = 5
y = - 3/2
Step-by-step explanation:
[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]
The augmented matrix is :
[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]
Now; to Row operations
Swap row 2 to row 1
[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]
Multiply row 1 with 2 and add to row 2 ;
1(2) = 2
-2(2) = -4
8(2) = 16
2 +2 = 4
4 +(-4) = 0
16+ 4 =20
Now; we have:
[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]
changing row 2 back to equation form:
4x + 0y = 20
4x = 20
x = 20/4
x = 5
substituting x = 5 in row 1
x - 2y = 8
5 - 2y = 8
-2y = 8 -5
-2y = 3
y = - 3/2
Which of these graphs represents a function
A.w
B.x
C.y
D.z
The correct option is D. The graph z is representing a quadratic function.
What is a quadratic function?In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
The general form of the quadratic functions is represented as below:-
y = ax² + bx + c
Where a,b, and c are the constants x and y are variables.
The graph of the quadratic functions will be parabolic on the x-y plane.
Therefore, the correct option is D. The graph z is representing a quadratic function.
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HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
x = 13
48 = 5x - 17
+17 + 17
5x = 65
x = 13
Someone plz help what would this be
Answer:
5
Step-by-step explanation:
(125) ^ (1/3)
What number times itself times itself =125
a*a*a =125
5*5*5 = 125
Solve: Negative one-half + c = StartFraction 31 over 4 EndFraction
c = StartFraction 33 over 4 EndFraction
c = 8
c = StartFraction 29 over 4 EndFraction
c = 7
Answer:
A
Step-by-step explanation:
i am a bakon trust me
plz brainliest for bakon :D i know u want B)
Answer:
A
Step-by-step explanation:
got it right on edge so......
WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *
Answer:
9:13
Step-by-step explanation:
David correctly factored the expression m^2 - ono
12m - 64.
Which expression did he write?
(1) (m-8)(m - 8) (3) (m - 16)(m + 4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why
Answer:
the correct option is number (3). It corresponds with the expression David factorised.
Step-by-step explanation:
David correctly factored the expression m² - 12m + 64, we want to check which one of the options he wrote.
(1) (m - 8)(m - 8) = (m - 8)²
= m² - 16m + 64
NOT THIS
(2) (m - 8)(m + 8) = m² - 8²
= m² - 64
NOT THIS
(3) (m - 16)(m + 4) = m² + 4m - 16m - 64
= m² - 12m - 64
THIS IS THE CORRECT OPTION AS IT CORRESPONDS WITH THE EXPRESSION DAVID FACTORISED
(4) (m + 16)(m - 4) = m² - 4m + 16m - 64
= m² + 12m - 64
NOT THIS
-4b - 5 + 2b =10. Can I have some help solving this.
Answer:
-7.5
Step-by-step explanation:
Simplify
-4b - 5 + 2b = 10
-2b - 5 = 10
-2b = 15
b = -7.5
Answer:
-7.5
Step-by-step explanation:
-4*- 7.5 =30
2*-7.5= -15
30-5-15=10
B. Lance is 39 years old. Ted is 22 years old.
Rosalinda is 45 years old. How old is Erik if the
mean age of the four friends is 33.5?
Answer:
28 years
Step-by-step explanation:
Sum of the years of Lance , Ted, Rosalinda = 39 + 22 +45 = 106 year
Sum of the years of Lance , Ted, Rosalinda & Erik = 33.5*4 = 134.0 year
Age of Erik = 134 - 106 = 28 years
A $135.00 item is marked down by 30%.
What is the new cost of the item?
Round to two decimals if needed.
Answer:
135.00 multiplied by .30% will be 40.5
Answer:
You can also calculate how much you save by simply moving the period in 30.00 percent two spaces to the left, and then multiply the result by $135 as follows: $135 x . 30 = $40.50 savings. Furthermore, you can get the final price by simply deducting .
Step-by-step explanation:
what is the answer to z+10=5 ?
Answer:
z = -5
Step-by-step explanation:
z + 10 = 5
z = 5 - 10
z = -5
Answer: hope this helps ♡
z = -5
Step-by-step explanation:
z + 10 = 5
z + 10 - 10 = 5 - 10
z = -5
(double-check: -5 + 10 = 5 ✓)
farmer brown has 24 crates of apples. he gives all of the apples to the teachers at his daughter's school. each teacher receives 3/4 of a crate of apples. work out how many teachers are at his daughter's school.
Answer:
32
Step-by-step explanation:
24/0.75=
32
If Mitchell buys 3/10 of a pound of cream cheese and 3/10 of a pound of sour cream, how much will he spend?
plain yogurt $5 per pound
sour cream $5 per pound
Greek yogurt $3 per pound
cream cheese $3 per pound
Answer:
$2.40
Step-by-step explanation:
Take the price of each item and divide by ten to find the cost of 1/10:
3 divided by 10 = .3
5 divided by 10 = .5
Then multiply by the amount he is purchasing:
.3 x 3 = .9
.5 x 3 = 1.5
Add the prices together for a total:
.9 + 1.5 = 2.4
Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is picked without looking. Find the probability. Write the answer as a fraction.
P(greater than 5)
A.
5
9
5
9
C.
5
8
5
8
B.
3
8
3
8
Answer:
5/8.
Step-by-step explanation:
Prob( Card is > 5) = number of cards > 5 / total number of cards
= 5/8
can someone explain the Pythagorean Theorem to me
Answer:
The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').
Step-by-step explanation:
the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x + 10y = 110. is it possible for the package to contain 15 apples? EXPLAIN
Answer:
Step-by-step explanation:
The y intercept is the value of y when x = 0. Similarly, the x intercept is the value of x when y = 0. To find each of these, we separate the equation as shown in the attached image. After solving for x and y, we find that the y intercept is 11 and the x intercept is 22. For part e, we substitute 15 in for x. So instead of putting x in the equation, we will put 15 and solve for y. After solving, we see that y will equal 3.5. However, since we cannot have a "half apple" in the package, we see that it is not possible to have 15 apples in the package.
Find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of -1. Show your work for full credit.
Answer:
(-1,-1)
Step-by-step explanation:
x = rcos(theta)
-1 = r cos(-3pi/4)
-1 = r(-sqrt(2)/2)
r = sqrt(2)
y = rsin(theta)
y = sqrt(2)sin(-3pi/4)
y = -1
(-1,-1)
1 foot = 12 inches. 1 inch = 2.5 centimetres. Change 5 feet 10 inches to centimetres
I guess the answer should be 177.8 cm.
The measurement of 5 feet 10 inches to centimeters is 175 centimeters.
What is Unit of Measurement?Units of measurement are defines ad the definite magnitude of a physical quantity. It is used to find a number that shows the amount of something.
Here we have to convert the units of measurement feet and inches to centimeters.
We have,
1 foot = 12 inches and 1 inch = 2.5 centimeters
We have to change 5 feet 10 inches to centimeters.
1 foot = 12 inches
⇒ 5 feet = 12 × 5 inches
= 60 inches
So, 5 feet 10 inches = 60 inches + 10 inches
= 70 inches
1 inch = 2.5 centimeters
70 inches = 70 × 2.5 centimeters
= 175 centimeters
Hence we got 5 feet 10 inches as 175 centimeters.
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The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?
Answer:
4,225 acresStep-by-step explanation:
If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;
y is the area of the wetland after x years
In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;
[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]
The area of the wetland in 2 years based on the biologist prediction will be 4225 acres
Answer:
4225
Step-by-step explanation:
you choose at random from the letters a,b,c and d and you roll a number cube once. what are the chances that you get an a and 5?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
I have no clue! Please help!
Which number line plots the integers –2, 3, and 4?
A. A number line going from negative 5 to positive 5. Points are at negative 3, negative 2, and 4.
B. A number line going from negative 5 to positive 5. Points are at negative 4, negative 3, and 2.
C. A number line going from negative 5 to positive 5. Point are at 2, 3, 4.
D. A number line going from negative 5 to positive 5. Points are at negative 2, 3, 4.
Answer: A
Step-by-step explanation: Point A plots all the points needed.
Answer:
Numbro 1
Step-by-step explanation:
I took the test on edgn
how do you solve for rate in D=r(t)
Answer:
Its C
Step-by-step explanation:
I already did the test, and got it right.
A recipe calls for 1/6 teaspoon of vanilla extract. If the recipe is doubled, then how much vanilla extract is needed?
Answer:
1/3
Step-by-step explanation:
1/6 Doubled is 2/6
Simplified
1/3
Is 2x^2+5x^2-8 a monomial, binomial or trinomial?
Answer:
trinomial
Step-by-step explanation:
plus and minus signs separate terms.
2x^2 is a term
5x^2 is another term
-8 is another term.
The given algebraic expression is binomial.
The given expression is 2x²+5x²-8 (7x²-8).
We need to check whether the given expression is a monomial, binomial or trinomial.
What are the different types of algebraic expression?The different types of algebraic expression are explained below:
Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.
Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.
Trinomial: An algebraic expression of three non-zero terms only is called a trinomial.
Now, the given expression 7x²-8 as two terms.
Therefore, the given algebraic expression is binomial.
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Factor x^3 - 4x^2 + 7x - 28 by grouping. What is the resulting expression
Answer:
Step-by-step explanation:
x³ - 4x² + 7x - 28 = x³ - 4x² + 7x - 7*4
= x²(x - 4) + 7(x - 4)
= (x - 4 )(x² + 7)
Log(2) 256 = 8, write the exponential form
Answer:
28=256
Convert the exponential equation to a logarithmic equation using the logarithm base (2)
of the right side (256) equals the exponent (8)
.
log2(256)=8
Step-by-step explanation:
In exponential form, the base (2 in this case) is raised to the exponent (8), resulting in the value on the right side of the equation (256).
In the given equation, we have:
Log₂ 256 = 8
This equation can be read as "the logarithm base 2 of 256 equals 8."
To express it in exponential form, we need to understand that logarithms and exponentiation are inverse operations.
In other words, if we have a logarithmic equation like this, we can convert it into an exponential equation by applying the exponentiation operation.
In this case, the logarithm is base 2, so the exponential form will have a base of 2 as well.
The exponent will be the value equal to the logarithm result. Thus, we can write the exponential form as:
2⁸ = 256
In this equation, 2 is the base and 8 is the exponent.
By raising 2 to the power of 8, we get the value of 256, which is equivalent to the logarithmic expression Log₂ 256 = 8.
Hence in exponential form, the base (2 in this case) is raised to the exponent (8), resulting in the value on the right side of the equation (256).
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Simplify: 327
A)
3
B)
4
0)
7
D)
8
Make the calculations mentally.
Type the answers in the boxes below.
1. 99+54 =
2. 244−99 =
3. 99 • 6 =
4. 99 • 15 =
Answer:
1. 99+54 = 153
2. 244−99 = 145
3. 99 • 6 = 594
4. 99 • 15 = 1485
3|2−x|=−6
can someone answer this question for me?? THNX!!!
Answer: the answer is 4
Step-by-step explanation:
3(2−x)=−6
Step 1: Simplify both sides of the equation.
3(2−x)=−6
(3)(2)+(3)(−x)=−6(Distribute)
6+−3x=−6
−3x+6=−6
Step 2: Subtract 6 from both sides.
−3x+6−6=−6−6
−3x=−12
Step 3: Divide both sides by -3.
−3x
−3
=
−12
−3
x=4
Answer:
x=4
6,291 DIVIDED BY 3 = ?
its easy i know lets see if your smart.
Answer:
6,291÷3=2,097
Hope this helped :)
the answer is 2,097
Step-by-step explanation:
6,291 divided bt 3= 2,097
