x^2 - 2x -4 =0
Using the quadratic formula -b +/- √b^2 - 4(ac) / 2a
Replace the letters with the values from the equation:
2 +/- √-2^2 -4*(1*-4) / 2*1
X = 2 +/- 2√5 / 2
x = 1 +/-√5
The answer is: x^2 - 2x -4 =0
Write the expressions as a difference and simplify it: 17x−13y+8 and 20x+6y.
The two expressions 17x−13y+8 and 20x+6y can be rewritten as a difference to be -3x - 19y + 8.
Explanation:To rewrite the two expressions 17x−13y+8 and 20x+6y as a difference, you can first list them separately and then combine by subtraction.
17x - 13y + 8
and
20x + 6y
. The difference between these two expressions is obtained by performing the subtraction as follows: (17x - 13y + 8) - (20x + 6y). Now, you can simplify this by removing the parentheses and switching the sign of the terms being subtracted, which results in:
17x - 13y + 8 - 20x - 6y
. Finally, you combine like terms, x-terms with x-terms and y-terms with y-terms, ending up with:
-3x - 19y + 8
which is the simplified difference of the two expressions.
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So far this semester, Zachary has test scores of 92, 98, 65, 77, 91, and 85. He has one more test to take before the semester ends. What must he score on the last test to earn an average of 85 for the semester? Type a numerical answer in the space provided.
State the slope of the line shown below.
0
1
–2
undefined
Answer: 0
Step-by-step explanation:
From then given graph , it can be seen that the line is parallel to x axis passing through [tex]y=-2[/tex].
We know that if two lines are paralleled then they have equal slope.
We know that the slope of x-axis is 0.
[∵[tex]\text{Slope=}\dfrac{\text{Change in y coordinates}}{\text{Change in x coordinates}}=\dfrac{0}{\text{Chnage in x coordinates}}=0[/tex]]
Hence, the slope of the given line =0
order from greatest to least : 0.12 with bar over 2, 0.1225, 3/25, 7/125
What conclusions can be made about the series ∞ 6 cos(πn) n n = 1 and the integral test?
A function is created to represent amount of money spent on lunch if you spent five dollars a day. What restrictions would be made to the range?
A. The range would only include integers
B. The range would only include negative integers
C. the range would only include positive integers
D. the range would include allreal number
ALGEBRA 2- If f(x)= √x-3 , which inequality can be used to find the domain of f(x)?
a. √x-3 ≥ 0
b. x-3 ≥ 0
c. √x-3 ≤ 0
d. x-3 ≤ 0
Answer:
Option B
Step-by-step explanation:
The given equation function is f(x) =[tex]\sqrt{x-3}[/tex]
Domain of this function will be determined by (x-3) ≥ 0
because square root of negative numbers is not defined.
Option B is the answer.
Karen buys 8.5 pounds of flour. She uses 2.5 pounds to bake bread. She keeps the rest of the flour in small storage bags. If each storage bag contains ⅖ pound of flour, how many storage bags does she use?
Which of the sums below can be expressed as 6(3 + 9)? (3 points)
18 + 54
18 + 9
9 + 15
6 + 54
This could be answered by using the distributive property.
This is an algebra property which is done to multiply a particular term and two or more terms in a set of parentheses.
So for our problem, 6 (3 + 9):
You first, multiply 6 x 3 = 18
And multiply 6 x 9 = 56
Thus, the answer is 18 + 56 = 72
But following the order of operations, you should add first the number inside the parenthesis and then multiply it to the number outside the parenthesis but it will the same answer still. (6 x 12 = 72)
Answer:
18 + 54
Step-by-step explanation:
Take 6 x 3 = 18
6 x 9 = 54
Answer is 18+54
to check answer 18 + 54 = 72
6(3+9)
6(12)= 72
given that EB bisects <CEA , which statement must be true
Answer: A:<CED is a right angle
B: <CEA is a right angle
D: m<CEB=m<BEA
E: m<DEB=135
Step-by-step explanation
In order to select the new board members. The French club held an election 9 out of 18 club in the election voted in the election . What percentage of the members voted
If other factors are held constant, the bigger the sample is, the greater the likelihood of rejecting the null hypothesis.
a. True
b. False
Help. What is the slope.
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Given that, a bike wheel is 26 inches in diameter.
We need to convert bike wheel's diameter in millimeters .
Since, 1 inch = 25.4 millimeters.
So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,
1*26 inch = 25.4 * 26 mm.
So, 26 inches = 660.4 mm.
So, the bike wheel's diameter is 660.4 millimeters.
Hope this helps you!
The bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.
To convert a bike wheel's diameter from inches to millimeters,
we have to use the conversion factor, which is,
1 inch = 25.4 millimeters.
Now multiplying the diameter of the bike wheel,
which is given as 26 inches,
by the conversion factor of 25.4 millimeters per inch.
⇒ 26 inches x 25.4 millimeters per inch = 660.4 millimeters
Therefore, the diameter of the bike wheel in millimeters is 660.4 millimeters.
Therefore, we can convert inches to millimeters by multiplying by 25.4, which is the number of millimeters in one inch.
In this case, the bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.
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the graph of the equation y=2x+b passes through the point (b, -3). Find b. PLZ SHOW WORK!
Justin purchased a 20 pound pumpkin for $9.80. How much did he pay per pound.
Justin paid $0.49/pound for his 20 pound pumpkin.
This is determined by dividing the total amount paid ($9.80) by the pound total (20lbs).
9.80 / 20= 0.49
The difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number. Which equation could be used to find the number?
Answer with explanation:
It is given that, the difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number.
Let the number be x.
Writing the statement in terms of equations
[tex]\frac{x}{2}-\frac{x}{6}=10+\frac{x}{8}[/tex]
This equation can be used to find the number.
Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?
Answer:
160 stamps
Step-by-step explanation:
Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have
77 pints= ___gal ___qt ___pt
Which expression is equal to 728‾‾‾√−563‾‾‾√ ?
−11√ 7
√7
- √7
−37√7
Answer:
The correct option is 3.
Step-by-step explanation:
The given expression is
[tex]7\sqrt{28}-5\sqrt{63}[/tex]
It can be written as
[tex]7\sqrt{4\times 7}-5\sqrt{9\times 7}[/tex]
[tex]7\sqrt{2^2\times 7}-5\sqrt{3^2\times 7}[/tex]
Using product property of radical expressions, we get
[tex]7(\sqrt{2^2}\times \sqrt{7})-5(\sqrt{3^2}\times \sqrt{7})[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]7(2\times \sqrt{7})-5(3\times \sqrt{7})[/tex]
[tex]14\sqrt{7}-15\sqrt{7}[/tex]
Taking out common factors.
[tex]\sqrt{7}(14-15)[/tex]
[tex]\sqrt{7}(-1)[/tex]
[tex]-\sqrt{7}[/tex]
Therefore the correct option is 3.
An angel is 5 times its supplement find the measure of bith angels
Use the right-hand rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.
If log3(4y−1)=log3(2y+7), what is the value of y?
Enter your answer as a number, rounded to one decimal place, if necessary, like this: 42.5
Will give brainliest to person who answers first. Much appreciated
1. The physical components of computers that carry out the basic operations are:
A: software
B:hardware
C:firmware
D:vaporware
2. The piece of computer hardware that manipulates a machines memory in order to create images rapidly is the:
A:cpu
B:gpu
C:rom
D:ram
3. Pong is the first real video/ computer game
A: true
B: false
4. The magnavox odyssey was a commercial success
A:true
B: false
Based on a survey, 3 out of 8 households have a pet. Mike's neighborhood has 192 households.
Based on the survey, how many households in Mike's neighborhood ,begin emphasis,most,end emphasis, likely have a pet?
A.24
B.64
C.72
D.116
72 households in Mike's neighborhood ,begin emphasis, most, end emphasis, likely have a pet.
What is Fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
According to question, based on a survey, 3 out of 8 households have a pet. Mike's neighborhood has 192 households.
We have to find how many households in Mike's neighborhood ,begin emphasis, most, end emphasis, likely have a pet.
We get the number of households by following equations:
[tex]\frac{3}{8}[/tex]×[tex]192=72[/tex]
Hence we can conclude that Option C is correct answer.
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A secant and a tangent meet at a 90 degree angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45 degrees
90 degrees
180 degrees
270 degrees
Answer:
180
Step-by-step explanation:
hope this helps you
Answer:
180 90plus90
Step-by-step explanation:
Kyra multiplied 0.27 by a power of ten and got 2.7. What power of ten did she multiply by?
1.45833 as a fraction
Suppose there is 1.1*f drop in temperature for every thousand feet that an airplane climbs in to the sky if the temperature on the ground is 59.7°F what will the temperature be at an altitude of 11,000 feet
Answer:47.6
Step-by-step explanation:
QUICK HELP! How many terms are in the simplified expression? How many of the terms in the simplified expression are negative?
Expression: 2x^2 - y^2 +5xy - 2y
Final answer:
The simplified expression '2x² - y² + 5xy - 2y' contains four terms, of which two are negative.
Explanation:
The expression given is 2x² - y² + 5xy - 2y To determine how many terms are in this simplified expression, we simply count the distinct variables and constant groupings. In this case, there are four terms: 2x², -y², 5xy, and -2y. Among these, two terms have a negative sign in front of them, indicating that they are negative. Thus, there are two negative terms in the simplified expression.