A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13. The number 8 is not prime because it has four factors: 1, 2, 4 and 8. The number 1 is not a prime number because it only has one factor (itself).
Aflati al 2013 lea termen al unei progresii aritmetice cu termenul al treilea egal cu 12 si diferenta a doi termeni consecutivi, 4.
Răspuns:
8052
Explicație pas cu pas:
Al treilea termen al unei progresii aritmetice:
T (n) = a + (n - 1) d
Unde ;
a = primul termen; d = diferență comună = 4; n = al treilea termen (numărul termenului)
Al treilea (3) termen:
T (3) = a + (3-1) 4
T (3) = 12
12 = a + 2 (4)
12 = a + 8
12 - 8 = a
4 = a
Prin urmare, primul termen = a
Al 2013-lea mandat;
T (2013) = a + (2013-1) d
T (2013) = 4 + (2012) 4
T (2013) = 4 + 8048
= 8052
Using f(x) = 4x + 6 with a domain of{-1, 0, 2 }, find the range.
1. {10, 6, 15}
2. {2, 14}
3. {-4, 0,8}
4. {2, 6, 14}
Answer:
{2,6,14}
Step-by-step explanation:
The range are the f(x) values
the domain are the x values
So we have it that;
f(-1) = 4(-1) + 6 = 2
f(0) = 4(0) + 6 = 6
f(2) = 4(2) + 6 = 14
so we have the range as;
{2,6,14}
Find the value of the variable that results in congruent triangles.
A. 80
B. 10
C. 50
D. 30
Answer:
x = 10
Step-by-step explanation:
Mathematically, the sum of the interior angles of a triangle is 180
Thus, we have it that;
55 + 45 + (5x + 30) = 180
100 + 5x + 30 = 180
5x = 180-30-100
5x = 50
x = 50/5
x = 10
Please help me fast.
the answer is in the picture above
eeeeeeee please help!
Answer:
1) Less than
2) greater than
Step-by-step explanation:
Equation of the first line:
(y+7)/(-13+7) = x/-1
(y+7))/-6 = -x
y+7 = 6x
y= 6x - 7
Equation of the second line:
A (4/3,0) ; B (0,8)
y/8 = (x-4/3)/-4/3
y/8 = (x-4/3) * -3/4
y/8 = -3/4x + 1
y = -6x + 8
simplify the following. (x²+2x)-(x²-7x)
Answer:
9x
Step-by-step explanation:
(x² + 2x) - (x² - 7x) ← distribute parenthesis
= x² + 2x - x² + 7x ← collect like terms
= 9x
Answer:
9x
Step-by-step explanation:
( x ² + 2 x ) - ( x² - 7 x )
Simply the expression
➻ ( x ² + 2 x ) - ( x² - 7 x )Remove unnecessary parantheses
➻ x² + 2x - x² + 7xcombine like terms
➻ x² - x² + 2x + 7x➻ 9xfind the area of the rhombus. pic included, thank you
Answer:
80in 2
Step-by-step explanation:
Answer:
a=(d1×d2)÷2
(20×12)÷2
240/2
120
Drag numbers to the table so it shows a proportional relationship between x and y.
Answer:
7.5 30
45 180
Step-by-step explanation:
The given line has x = 1.25 and y = 5.
y/x = 5/1.25 = 4
x is multiplied by 4 to get y since 1.25 * 4 = 5.
That means the equation is
y = 4x
For a proportional function, every value of x must be multiplied by 4 to get y.
x = 7.5
y = 4x = 4(7.5) = 30
7.5 30
We need to find the values for the last line.
11 * 4 = 44
There is no 44
13.75 * 4 = 55
There is no 55.
17.5 * 4 = 70
There is no 70
30 * 4 = 120
There is no 120.
45 * 4 = 180
There is a 180.
45 180
Answer:
7.5 30
45 180
if A×B ={(-1,1),(-1,2),(2,1),(2,2),(3,1),(3,2)}. find A×A and B×B. i need for exam.
Answer:
hope this will help you more
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you
stay safe healthy and happy
Describe the steps required to determine the equation of a quadratic function given its zeros and a point.
Answer:
Procedure:
1) Form a system of 3 linear equations based on the two zeroes and a point.
2) Solve the resulting system by analytical methods.
3) Substitute all coefficients.
Step-by-step explanation:
A quadratic function is a polynomial of the form:
[tex]y = a\cdot x^{2}+b\cdot x + c[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Coefficients.
A value of [tex]x[/tex] is a zero of the quadratic function if and only if [tex]y = 0[/tex]. By Fundamental Theorem of Algebra, quadratic functions with real coefficients may have two real solutions. We know the following three points: [tex]A(x,y) = (r_{1}, 0)[/tex], [tex]B(x,y) = (r_{2},0)[/tex] and [tex]C(x,y) = (x,y)[/tex]
Based on such information, we form the following system of linear equations:
[tex]a\cdot r_{1}^{2}+b\cdot r_{1} + c = 0[/tex] (2)
[tex]a\cdot r_{2}^{2}+b\cdot r_{2} + c = 0[/tex] (3)
[tex]a\cdot x^{2} + b\cdot x + c = y[/tex] (4)
There are several forms of solving the system of equations. We decide to solve for all coefficients by determinants:
[tex]a = \frac{\left|\begin{array}{ccc}0&r_{1}&1\\0&r_{2}&1\\y&x&1\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }[/tex]
[tex]a = \frac{y\cdot r_{1}-y\cdot r_{2}}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x+x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}[/tex]
[tex]a = \frac{y\cdot (r_{1}-r_{2})}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x +x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}[/tex]
[tex]b = \frac{\left|\begin{array}{ccc}r_{1}^{2}&0&1\\r_{2}^{2}&0&1\\x^{2}&y&1\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }[/tex]
[tex]b = \frac{(r_{2}^{2}-r_{1}^{2})\cdot y}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x +x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}[/tex]
[tex]c = \frac{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&0\\r_{2}^{2}&r_{2}&0\\x^{2}&x&y\end{array}\right| }{\left|\begin{array}{ccc}r_{1}^{2}&r_{1}&1\\r_{2}^{2}&r_{2}&1\\x^{2}&x&1\end{array}\right| }[/tex]
[tex]c = \frac{(r_{1}^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1})\cdot y}{r_{1}^{2}\cdot r_{2}+r_{2}^{2}\cdot x + x^{2}\cdot r_{1}-x^{2}\cdot r_{2}-r_{2}^{2}\cdot r_{1}-r_{1}^{2}\cdot x}[/tex]
And finally we obtain the equation of the quadratic function given two zeroes and a point.
How do I complete the table?
Answer:
From left to right, fill in 3.5 and 6.5
Step-by-step explanation:
Use the given formula to calculate y for the given values of x.
When x = 0.5, y = 3(0.5) + 1/0.5
y = 1.5 + 2
y = 3.5 if x = 0.5
When x = 2, y = 3(2) + 1/2
y = 6 + 0.5
y = 6.5 if x = 2
I NEED ANSWERS ASAP(WORTH 20 POINTS) WILL MARK BRAINLIEST
The graph of f(x) = |x| is transformed to g(x) = |x+1|-7. On which interval is the function decreasing?
A. (negative infinity, -7)
B. (negative infinity, -1)
C. (Negative infinity, 1)
D. (Negative infinity, 7)
Answer:
B. (negative infinity, -1)
What is the pH of a solution with a 1.50 × 10−9 M hydroxide ion concentration? (4 points) 0.176 5.18 8.82 9.20
Answer:
5.18
Step-by-step explanation:
This is a chemistry question. However the solution to the problem is given below:
We'll begin by calculating the pOH of the solution. This can be obtained as follow:
Concentration of Hydroxide ion [OH¯] = 1.5×10¯⁹ M
pOH =?
pOH = –Log [OH¯]
pOH = –Log 1.5×10¯⁹
pOH = 8.82
Finally, we shall determine the pH of the solution. This can be obtained as follow;
pOH = 8.82
pH =?
pH + pOH = 14
pH + 8.82 = 14
Collect like terms
pH = 14 – 8.82
pH = 5.18
Therefore, the pH of the solution is 5.18
Answer:
5.18
Step-by-step explanation:
I took the test and got it right!
The solution of the system of equations has coordinates where x is between 2 and 3 and y is between 2 and 3. What is a reasonable approximation for each value to the tenths place? x Almost-equals 2.2, y Almost-equals 2.1 x Almost-equals 2.2, y Almost-equals 2.4 x Almost-equals 2.7, y Almost-equals 2.3 x Almost-equals 2.7, y Almost-equals 2.6
x Almost-equals 2.2, y Almost-equals 2.4
Answer:
Its B
Step-by-step explanation:
correct on edge
Complete the remainder of the
table for the given function rule:
y = 3x - 8
X | -4 -2 0 2 4
y -20 [?] [ ] [ ] [ ]
The values that complete the table are -14, -8, -2 and 4
Function ruleGiven the function y = 3x - 8, we are to complete the given table.
If x = -2
y = 3(-2) - 8
y = -14
If x = 0
y = 3(0) - 8
y = -8
If x = 2
y = 3(2) - 8
y = -2
If x = 4
y = 3(4) - 8
y = 4
Hence the values that complete the table are -14, -8, -2 and 4
Learn more on table of functions here: https://brainly.com/question/3632175
to move a function, you need to___it.
Answer:
shift
Step-by-step explanation:
shift
the first 4 questions
Answer:
(3)(4)(4)(2)Step-by-step explanation:
1.
7 > 0.7 > 0.07 > 0.007
2.
5h - 15hg
taking 5h common
5h (1 - 3g)
3.
5(2x- 1) = 35
dividing both sides by 5
2x - 1 = 7
2x = 7 + 1
2x = 8
x = 4
4.
if x is an odd number x + 2 will also be odd.
for example
11 is an odd number
on adding 2 we get 13 which is also an odd number.
Sam has 24 ball he gives 1/3 to Rita. How many ball did he give to Rita?
Answer:
8
Step-by-step explanation:
Find 1/3 of 24, which is 8.
Answer:
Sam gave 8 balls to Rita.
Step-by-step explanation:
24 / 3 = 8
1/3 of 24 is 8, therefore Sam gave 8 balls to Rita.
(X^2+3)^2 - (x^2-1)^2
Answer:
8(X^2+1)
Step-by-step explanation:
(X²+3)²-(X²-1)
(X²+3)(X²+3)-(X²-1)(X²-1)
X⁴+3X²+3X²+9-(X⁴-X²-X²+1)
X⁴+6X²+9-(X⁴-2X²+1)
X⁴+6X²+9-X⁴+2X²-1
8X²+8
Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school.
Anna draws a map with a number line connecting her house to Ben’s house. On the number line, the school is at 0 and her house is at the point +2.5. On the map, Ben’s house is at the point
Answer:
Step-by-step explanation:
3===o===2=======1========0========-1=======x-2
I know this is backwards, but the question makes the choice of which direction is plus. o represents where anna lives.
Ben should be right at -2 where the x is.
Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Thanks!
Given:
The three exterior angles of a pentagon measures 60,80 and 90.
To find:
The measure of other two exterior angle, assuming them equally.
Solution:
Let x be the measure of two other exterior angles of the pentagon.
We know that the sum of all exterior angles of a pentagon is 360 degrees.
[tex]60^\circ+80^\circ+90^\circ+x+x=360^\circ[/tex]
[tex]230^\circ+2x=360^\circ[/tex]
[tex]2x=360^\circ-230^\circ[/tex]
[tex]2x=130^\circ[/tex]
Divide both sides by 2.
[tex]\dfrac{2x}{2}=\dfrac{130^\circ}{2}[/tex]
[tex]x=65^\circ[/tex]
Therefore, the measures of both exterior angles are 65 degrees.
Complete the function for this graph.
Answer:
y = –|x - 1| + 3
Step-by-step explanation:
The "vertex" is (1 , 3)
y = –|x - 1| + 3
Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of segment AB.
Select one:
a. 23
b. 9
c. 19
d. 3
Answer:
C
Step-by-step explanation:
AB + BC = AC , that is
5x + 4 + 4x - 8 = 23
9x - 4 = 23 ( add 4 to both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Then
AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C
___ +(-9)=-12 need help please
Answer:
_-3__ + (-9) = -12
Step-by-step explanation:
___ + (-9) = -12
-9 is being added to the blank. You want the blank alone (isolated) on the left side. The opposite operation to adding a -9 is to add a positive 9.
You must do the same operation to both sides of an equation.
Add 9 to both sides.
___ + (-9) + 9 = -12 + 9
___ + 0 = -3
___ = -3
Answer: -3
Answer:
-3
Step-by-step explanation:
Hi there!
___ + (-9) = -12
Adding a negative number is the same as subtracting
___ - 9 = -12
To isolate the blank, we can add 9 to both sides of the equal sign so there won't be a -9 on the left side
___ - 9 + 9 = -12 + 9
___ = -12 + 9
___ = -3
Therefore, the number is -3.
I hope this helps!
what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
hi friend I can help you in this geometry work via Wazapp
Antônia tem um caneca com a capacidade de 2/3Lde água. Que fração dessa caneca ela encherá com 1/2L de água?
Answer:
The fraction of cup filled with water is 3/4.
Step-by-step explanation:
Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?
Capacity = 2/3 L
Amount of water = 1/2 L
Fraction of amount of water to the capacity of mug is
[tex]\frac{1}{2}\div \frac{2}{3}\\\\\frac{3}{4}[/tex]
What does 8 represent in the decimal 478.92
A. Tenths
B. Hundreds
C. Dozen
D. Units
Answer:
Units
Step-by-step explanation:
From the value above 478.92
4 represents hundreds
7 represents tens
8 represents units
Hence the answer is units
Find the length of x
Answer:
x = 3
Step-by-step explanation:
Hi there!
1) Prove similarity
The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.
2) Solve for x
Now, we can set up a proportion to solve for x:
[tex]\frac{x}{4} =\frac{4.5}{6} \\x=\frac{4.5}{6} *4\\x=3[/tex]
Therefore, x is 3 units long.
I hope this helps!
The z- score for a mark of 56 in a test with a mean of 60 and standard deviation of 8 is
Answer:
z = - .5
Step-by-step explanation:
z = (x - μ)/ σ
z = 56 - 60/8 = -.5
Anelle is in charge of bringing in dry erase markers for everyone in her math group to use to work on a project. She brings 3 markers for each person in her group and 5 extra markers for everyone to share. If Janelle brings in 23 markers in all, which equation represents the information?
Answer:
3x + 5 = 23
Step-by-step explanation:
Let x represents the number of persons in her group.
Since she brings 3 markers for each person, then number of markers brought for persons in her group = 3x.
She brings 5 extra markers for each person to share.
Thus, total markers she brought is now;
3x + 5
She brought 23 markers in all.
Thus, equation that represents the information is;
3x + 5 = 23
