Answer:
B. slope 1/4, y-intercept at ( 0, 5)
Step-by-step explanation:
slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4
the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)
we are given that one of the points is (x=0, y=5) so this is our y-intercept
OR
the slope intercept form equation of a line y= mx+b, where b is the y-intercept
y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5
5 = (1/4)*0 +b
5 = b
Evaluate:
18 (5n - 4) = [?]
Answer:
90n-72=0
Step-by-step explanation:
18×5n-18×4=0
What is the difference of the polynomials?
Answer:
(B) mn+3
Rule of algebra: *INTEGERS*
like sign➡ add
unlike sign➡ subtract
Step-by-step explanation:
Because the m2n2 is got subtract by m and n that's why it bacames a constant mn.
Answer:
[tex](m^{2} n^{2} -7)-(mn+4)[/tex]
[tex]=m^{2} n^{2} -7-mn-4[/tex]
[tex]m^{2} n^{2} -mn-11[/tex]
Option C is your answer
----------------------------------
Hope it helps...
Have a great day!!
When solving a quadratic in the form a x squared + b x + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables Please select the best answer from the choices provided A B C D
If [tex]x[/tex] is real and p=[tex]\frac{3(x^{2} +1)}{2x-1}[/tex], prove that [tex]p^{2}[/tex]-3(p+3) ≥ 0
Answer:
[tex]{ \tt{p=\frac{3(x^{2} +1)}{2x-1}}} \\ { \tt{p(2x - 1) = 3( {x}^{2} + 1) }} \\ { \tt{2px - p = 3 {x}^{2} + 3 }} \\ { \tt{3 {x}^{2} - (2p)x + (p + 3) = 0}} [/tex]
By factorization :
[tex]{ \tt{ ( {p}^{2} - 3)( p + 3) \: is \: the \: zero}}[/tex]
Since the roots are real, they're greater than zero ( 0 < x ≤ +∞ ):
[tex]{ \tt{ ({p}^{2} - 3})(p + 3) \geqslant 0}[/tex]
Bernard wants to give a book and a CD to Rachel for Rachel's birthday. Bernard has 2 books and 3 CDs. Tell whether the situation involves combinations or permutations. Then give the number of possible outcomes.
Answer:
6, permutation
Step-by-step explanation:
Book 1, CD 1
Book 1, CD 2
Book 1, CD 3
Book 2, CD 1
Book 2, CD 2
Book 2, CD 3
There are 6 permutations.
what is the measure of arc MP
Answer:
[tex]m\widehat{MP}=118^{\circ}[/tex]
Step-by-step explanation:
In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:
[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]
Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.
Therefore, we have:
[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]
Graph the inequality.
1
Answer:
hope it helps
Step-by-step explanation:
A researcher decides to find out whether giving students positive
reinforcement improves or impairs their grades. The researcher's sample
group consists of the following 8 students:
0 Jack
1 Tucker
2 Susie
3 Jill
4 Charianna
5 Trey
6 Ashton
7 Jordan
52197 66082 97867 49397 47924 78900 59414 64755 48733
Which of the following represents a 5-person group selected for the
treatment group using the first number in the line from a table of random
numbers above?
A. Charianna, Tucker, Jack, nobody, Ashton
B. Tucker, Susie, Trey, Ashton, Jordan
C. Trey, Susie, Tucker, Jordan, Ashton
D. Charianna, Tucker, Jack, Ashton, Trey
Answer: C. Trey, Susie, Tucker, Jordan, Ashton
========================================================
Explanation:
The random sub-sequence 52197 66082 helps directly determine who we pick.
The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.
Up next is student #1, and that would be Tucker
Up next is student #9, but the list only goes high as 7. So we skip over 9
Jordan is next up since 7 is the next digit
Finally, the last selection is Ashton because 6 follows after.
--------------
In other words, the sequence 52197 6 will lead to these selections in the order provided.
5 = Trey2 = Susie1 = Tucker9 = skip, since it's not on the list7 = Jordan6 = AshtonSide note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0
What action represents the "!" symbol on a TI 84 plus CE calculator for a Statistics problem??
Answer:
The "!" represents a factorial
Step-by-step explanation:
In math, a factorial when there is an ! followed by a number.
For example, 5! = 5 factorial.
To solve factorials, multiply every integer below the number before the factorial, including the number.
5! = 5 x 4 x 3 x 2 x 1 = 120.
Picture is right there pls help
Answer: B
Step-by-step explanation:
Using slope formula, change in y (3) over change in x (2) is 3/2. So the equation would be y=3/2x.
12 5/6 - 3 5/12 - 1 1/2 =??
Answer:47/12
=3.9167
Step-by-step explanation:
Step-by-step explanation:
I hope this will help you
stay safe
Consider the following 8 numbers, where one labelled x
is unknown.
27, 20, 34,
x, 7, 47, 26, 41
Given that the range of the numbers is 63,
work out 2 values of x
Answer: 70 and -16
==========================================================
Explanation:
For now, we'll assume x is the largest value (aka the max)
Let's sort the values from smallest to largest.
7, 20, 26, 27, 34, 41, 47, x
We see that 7 is the smallest item, so,
range = max - min = x - 7
Set this equal to 63 and solve for x
x-7 = 63
x = 63+7
x = 70
So x could be equal to 70.
---------------------------
Next, we'll assume that x is the smallest value
That means the min is x and 47 is now the max
max - min = range
47 - x = 63
-x = 63-47
-x = 16
x = -16
So if x is the smallest value, then it must be -16
----------------------------
Finally, we'll let x be somewhere between 7 and 47
Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.
If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.
Which of the following is most likely the next step in the series?
| || H
Oat И
O B. #
och
#
D.
Answer:
D makes sense. I think the answer is D.
A running track has two semi-circular ends with radius 27m and two straights of length 90.6m as shown.
Calculate the total distance around the track rounded to 1 DP.
Answer:
350.85
Step-by-step explanation:
90.6*2 = 181.2
27*2 = 54 (diameter)
54*pi = 169.646003294
169.646003294 + 181.2 = 350.846003294
350.846003294 = 350.85
The difference between the length and width of a rectangle is 7 units. The perimeter is 50 units. Find the dimensions.
Answer:
Step-by-step explanation:
Hello!
(x +x+7)*2 = 50
(2x+7)*2 = 50
4x+14= 50
4x= 50-14
4x= 36
x= 36/4
x= 9
9 et 16cm
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 - x = 25
Answer:
[tex]x1 = - 4.525[/tex]
[tex]x2 = 5.525[/tex]
Step-by-step explanation:
[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]
[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]
Answer the following
Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40) (12, 32) and (18, 48) (27, 12) and (72, 32) (45, 15) and (60, 20) (27, 2) and (243, 18) (18, 63) and (24, 84) (63, 9) and (84, 12).
Answer:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Step-by-step explanation:
Required
Arrange in increasing order of slope
Slope (m) is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
So, we have:
(a) (15, 30) and (20, 40)
[tex]m = \frac{40 -30}{20- 15}[/tex]
[tex]m = \frac{10}{5}[/tex]
[tex]m =2.00[/tex]
(b) (12, 32) and (18, 48)
[tex]m = \frac{48 -32}{18- 12}[/tex]
[tex]m = \frac{16}{6}[/tex]
[tex]m = 2.67[/tex]
(c) (27, 12) and (72, 32)
[tex]m = \frac{32-12}{72- 27}[/tex]
[tex]m = \frac{20}{45}[/tex]
[tex]m = 0.44[/tex]
(d) (45, 15) and (60, 20)
[tex]m = \frac{20-15}{60- 45}[/tex]
[tex]m = \frac{5}{15}[/tex]
[tex]m = 0.33[/tex]
(e) (27, 2) and (243, 18)
[tex]m = \frac{18-2}{243- 27}[/tex]
[tex]m = \frac{16}{216}[/tex]
[tex]m = 0.07[/tex]
(f) (18, 63) and (24, 84)
[tex]m = \frac{84-63}{24- 18}[/tex]
[tex]m = \frac{21}{6}[/tex]
[tex]m = 3.50[/tex]
(g) (63, 9) and (84, 12)
[tex]m = \frac{12 -9}{84- 63}[/tex]
[tex]m = \frac{3}{21}[/tex]
[tex]m = 0.14[/tex]
From least to greatest slope, the pair of points are:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Answer:
From least to greatest slope, the pair of points are:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Step-by-step explanation:
Which of the following is the best definition of the sample space of a
probability event?
A. The number of successful outcomes
B. The measure of how likely an event is to occur
O O O O
C. The set of all possible outcomes
D. The most likely outcome
Answer:
C:The set of all possible outcomes
simplify:-a). (-5a²)²(6ab²)(-3ab²)
Solve log2(x + 5) + log2(x − 5) = log211.
Answer:
x = 6
Step-by-step explanation:
log2(x + 5) + log2(x − 5) = log2 11.
We know that loga (b) + log a(c) = log a( bc)
log2(x + 5) (x − 5) = log2(11)
Multiply
log2(x^2 -25) = log2(11)
Raise each side to the power of 2
2^log2(x^2 -25) = 2^log2(11)
x^2 - 25 = 11
Add 25
x^2 -25 +25 = 25+11
x^2 = 36
Taking the square root of each side
x = ±6
But x cannot be negative because then the log would be negative in log2(x-5) and that is not allowed
x = 6
Answer:
x = 6
Step-by-step explanation:
[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] 11
Determined the define range.
[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] (11), x ∈ ( 5, + ∞ )
We know that [tex] log_a ( b ) + log_a ( b ) [/tex] = [tex] log_a( bc) [/tex]
[tex] log_2[/tex] ( x + 5 ) ( x - 5 ) = [tex] log_2[/tex] ( 11).
[tex] log_2[/tex] ( ( x + 5 ) × ( x - 5 ) ) = [tex] log_2[/tex] ( 11).
Use indentity :- ( a + b ) ( a - b ) = a² - b².
[tex] log_2[/tex] ( x² + 25) = [tex] log_2[/tex] ( 11).
Since , the base of the logarithm are the same. set the arguments equal.
x² - 25 = 11.
Move constant to the right-hand side and change their sign.
x² = 11 + 25
x² = 36.
Take square root of each side.
√x² = √36
x = ± 6
x = 6
x = -6, x ∈ ( 5, + ∞ )
Check if the solutions is in determine range.
x = 6
Can someone explain to me by steps on how to do this?
Answer:
h = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = 8 / h
h sin 45 = 8
h = 8 / sin 45
h = 8 / (1 sqrt(2)
h = 8 sqrt(2)
Answer:
right answer is option D
Step-by-step explanation:
tan 45 = BC/8. ; BC - Lower side
BC = 8
h = 8sq. + 8sq = √128 = 8√2
Which is a y-intercept of the continuous function in the table? х – 4 -3 -2 -1 0 1 f(x) -10 0 0 – 4 -6 0 2 O (0,6) O (-2, 0) O (6,0) 0 (0, -2)
Plz Hurry
Answer:
x:-4,-3,-2,-1,0,1
f(x):-10,0,0,-4,-6,0
from the table we can see when x=0, y=-6
Therefore the y-intercept will be (0,-6)
OAmalOHopeO
The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }
Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }
Now , the y intercept of the function is when the value of x = 0
So , when x = 0 , the value of y = -6
And , f ( 0 ) = -6
Therefore , the y intercept is ( 0 , -6 )
Hence , the y intercept of the function is ( 0 , -6 )
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Help solve 4 and 5 please
Answer:
Step-by-step explanation:
4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.
b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.
c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.
d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.
e). If a parallelogram has four congruent sides, then it must be a SQUARE.
5). Given quadrilateral SELF is a rhombus.
a). All sides of a rhombus are equal,
Therefore, ES = EL = 25
b). Diagonals of a rhombus bisects the opposite angles,
Therefore, m∠ELS = m∠FLS
3x - 2 = 2x + 7
3x - 2x = 7 + 2
x = 9
c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.
m∠ELF = 2(m∠ELS) = 2(2y - 9)
m∠LES = 2(m∠LEF) = 2(3y + 9)
And 2(2y - 9) + 2(3y + 9) = 180
(2y - 9) + (3y + 9) = 90
5y = 90
y = 18
Which parent function is represented by the graph?
Instructions: Find the measure of the missing angle using the Exterior Angle Sum
Theorem
Answer:
It's an isosceles triangle equal 2 sides so
it will be x+67 ° +67 ° =180° ( sum of angle in triangle)
x+134 °=180 °
x =180 - 134
x = 46 °
The measurement of the missing angles in the given triangle is 67.
Use the concept of isosceles triangle defined as:
A triangle with two equal-length sides is said to be isosceles.
An isosceles triangle has equal angles on either side of its equal sides.
In the given figure,
One angle is 67 degrees
And two sides are equal.
Let the missing angle is x°
Since the two sides of this triangle are equal,
So this is an isosceles triangle.
Then two opposite angles must be equal.
For a triangle,
The sum of interior angles = 180°
Therefore,
67° + 67° + x° = 180°
x° = 46°
Hence,
The measurement of the missing angle is 46°
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Ivan sabe que pir su salud debe tomar agua hervida , lleno 3 botellas de agua hervida para empezar los lleno de 7,2 L usando 3 botellas grandes y 5 botellas pequeñas , no lleno otra botella ya que le faltaba 0,5L pero lleno una pequeña mas y le quedaron 0,3L de ahua hervida para tomar ¿Cuanta agua hervida tenia al inicio ivan?
Answer:
Al inicio Iván tenía 8.1 litros de agua hervida.
Step-by-step explanation:
Dado que Iván sabe que por su salud debe tomar agua hervida, y llenó 3 botellas de agua hervida para empezar con 7,2 L usando 3 botellas grandes y 5 botellas pequeñas, y no llenó otra botella ya que le faltaba 0,5L pero llenó una pequeña mas y le quedaron 0,3L de agua hervida para tomar, para determinar cuánta agua hervida tenia al inicio Iván se debe realizar el siguiente cálculo:
Botella grande = -0.5 litros
Botella chica = +0.3 litros
0.5 + 0.3 = 0.8
Así, la diferencia entre una botella grande y una botella chica es de 0.8 litros.
3X + 5(X - 0.8) = 7.2
3X + 5X - 4 = 7.2
8X = 7.2 + 4
X = 11.2 / 8
X = 1.4
3 x 1.4 + 5 x 0.6 = 7.2
7.2 + 0.6 + 0.3 = 8.1
Por lo tanto, al inicio Iván tenía 8.1 litros de agua hervida.
Find the BD in the image below
Answer:
x = 10
The both line crosses with a little hyphen, meaning those are same
Answered by GAUTHMATH
What expression is equal to (3 x 5) x 4
Answer:
60
Step-by-step explanation:
Step 1:
3 x 5 = 15
Step 2:
15 x 4 = 60
Answer:
well 3. x 5 is 15, then multiply by 4 to get 60.
Step-by-step explanation:
asap answer pls ----------------
Answer:
C
Step-by-step explanation: