❀ [tex]\huge\underline{ \underline{Solution :-}}[/tex]
[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )[/tex]
To solve, use the algebraic identity ➺
(x + a)( x + b) = x² + (a + b)x + ab[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Use the drop-down menus to describe the key aspects of the function
f(x) = –x2 – 2x – 1.
Answer:
Step-by-step explanation:
Given function is,
f(x) = -x² - 2x - 1
= -(x² + 2x + 1)
= -(x + 2)²
Comparing this equation with the vertex form of a quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Vertex of the function is (-2, 0)
Leading coefficient of the function = -1
Therefore, parabola will open downwards.
Function will be increasing in the interval (-∞, -2).
Function will be decreasing in the interval (-2, -∞).
Domain of the function → (-∞, ∞)
Range of the function → (-∞, 0]
Answer:
Step-by-step explanation:
edge
Which are correct Representation of the any quality 6x>_3+4(2x-1)?select three options
Answer:
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram, please see attached drawing of the number line created with MS Visio
Step-by-step explanation:
The given inequality is presented as follows;
6·x ≥ 3 + 4·(2·x - 1)
By expanding the right hand side of the inequality, we get;
6·x ≥ 3 + 8·x - 4
4 - 3 = 1 ≥ 8·x - 6·x = 2·x
∴ 1 ≥ 2·x
1/2 ≥ x
Therefore, the correct options are;
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram
Factorise 2ab+2ac. Please
Answer:
2a(b+c)
Step-by-step explanation:
Find HCF (2a)
Then factorise
Answer:
2a(b+c)
.............
A condition statement is logically equivalent to a biconditional statement. true or false
Answer:
true
Step-by-step explanation:
Because a logically equivalent is the same as biconditional statement
Step-by-step explanation:
hello the answer is true, you can check but it's obviously true
The triangles are similar.
What is the value of x?
Enter your answer in the box.
Here is the distribution of blood types from a group
of randomly selected people:
o
А
B
AB
Blood
Type:
Probability:
0.49
0.27
0.20
?
What is the probability of type AB blood?
A bag contains 6 black tiles, 5 white tiles, and 4 blue tiles. Event A is defined as drawing a white tile from the bag on the first draw, and event B is defined as drawing a black tile on the second draw. If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in simplest form? A. 4/45 B. 1/7 C. 4/15 D. 5/14
Answer:
5/14
Step-by-step explanation:
There are 15 tiles in total
5 white| 6 black | 4 blue
event A results in the subject pulling a white tile and not replacing it
5-1= 4
so the first answer should be 4/15
event B results in the subject pulling another tile, a black one and not replacing it.
6-1= 5
given this answer, there is one less tile in the total, since we removed another tile.
So our answer would be-
5/14 or D
What is the slope of the graph shown below
Answer:
B=-5
Step-by-step explanation:
Slope=rise/run
The line passes in
P1(-1,3)
and
P2(0,-2)
So slope=(3-(-2))/(-1-0)=5/-1=-5
calculate the exact value of 1 1/3- 3 5/6+ 5 1/9
[tex]\displaystyle\bf 1\frac{1}{3} -3\frac{5}{6} +5\frac{1}{9} =5+1-3+\frac{1^{/6}}{3} +\frac{1^{/2}}{9} -\frac{5^{/3}}{6}\\\\\\\ =3+\frac{6+2-15}{18} =3-\frac{7}{18}=\boxed{2\frac{11}{18} }[/tex]
Look at the graph below. What type of function is represented by this graph?
Someone come through with the answers pls
Which point is in the solution set of this system inequalities?
A. (0,0)
B. None of these
C. (5,1)
D. (3,7)
Answer:
B
Step-by-step explanation:
To find which ordered pairs are solutions to the inequalities we can simply plug in the x and y values of the ordered pairs into the inequalities and if the equation is true for both inequalities then the ordered pair is a solution to the inequalities.
For (0,0)
x = 0
y = 0
y > x + 5
Substitute 0 for y and x
0 > 0 + 5
Simplify right side
0 > 5
The inequality is not true as 5 is greater than 0, not less than. So immediately we can eliminate answer choice A.
For (5,1).
x = 5
y = 1
y > x + 5
Substitute 5 for x and 1 for y
1 > 5 + 5
Simplify right side
1 > 10
Again, the equation is not true as 1 is not greater than 10. This means that c cannot be the answer
For (3,7)
x = 3
y = 7
y > x + 5
Substitute 3 for x and y for 7
7 > 3 + 5
Simplify right side
7 > 8
7 is not greater than 8 meaning that (3,7) cannot be a solution to the inequalities
None of the ordered pairs created true equations hence the answer is B
(x2/5)n
For what value of n, written as a decimal, will the expression equal x?
Given:
The expression is:
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
To find:
The decimal value of n so that the value of the given expression is equal to x.
Solution:
We have,
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
This expression is equal to x.
[tex]\left(x^{\frac{2}{5}\right)^n=x[/tex]
[tex]x^{\frac{2}{5}n}=x^1[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents, we get
[tex]\dfrac{2}{5}n=1[/tex]
[tex]2n=5[/tex]
[tex]n=\dfrac{5}{2}[/tex]
[tex]n=2.5[/tex]
Therefore, the required value of n is 2.5.
An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared + b x + c. What are the factors of x2 – 144? And
Answer:
[tex](x -12)(x + 12)[/tex]
Step-by-step explanation:
Given
See attachment for chart
Required
The factors of [tex]x^2 - 144[/tex]
First, express [tex]x^2 - 144[/tex] as [tex]ax^2 + bx + c[/tex]
So, we have:
[tex]x^2 - 144 = x^2 + 0x - 144[/tex]
Compare the above expression to: [tex]ax^2 + bx + c[/tex]
We have:
[tex]ax^2 + bx + c = x^2 + 0x - 144[/tex]
So:
[tex]a =1[/tex]
[tex]b =0[/tex]
[tex]c = -144[/tex]
and
[tex]a * c = d * e[/tex]
Calculate ac
[tex]a* c = 1 * -144[/tex]
[tex]a* c = -144[/tex]
Rewrite as:
[tex]a* c = -12 * 12[/tex]
Recall that:
[tex]a * c = d * e[/tex]
Hence:
[tex]d = -12; e = 12[/tex]
So, on the x chart, we have:
ac
d e
b
This gives:
-144
-12 12
0
The factors are
[tex](x + d)(x + e)[/tex]
[tex](x -12)(x + 12)[/tex]
Answer:
✔ (x – 12)
and
✔ (x + 12)
Step-by-step explanation:
A boat is heading towards a lighthouse, where Riley is watching from a vertical distance of 120 feet above the water. Riley measures an angle of depression to the boat at point A to be 18 degrees . At some later time , Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary .
Answer:
313 ft
Step-by-step explanation:
It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120
The distance from point A to point B is given by the trigonometric relations and d = 313 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the first triangle be represented as ΔAOD
Let the second triangle be represented as ΔBOD
where the distance from point A to point B = d
And , Riley is watching from a vertical distance of 120 feet above the water
Riley measures an angle of depression to the boat at point A to be 18 degrees
Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees
So , ∠BOD = 25° and ∠AOD = 72°
From the trigonometric relations ,
tan θ = opposite / adjacent
tan AOD = AD / OD = tan 72°
tan 72° = 3.087
tan BOD = tan 25° = 0.47
Now , the measure of AD = 120 x 3.087 = 369.6 feet
And , the measure of BD = 120 x 0.74 = 56.4 feet
Therefore , the distance from A to B = 369.6 feet - 56.4 feet
d = 313 feet
Hence , the distance is 313 feet
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the red line below is perpendicular to which of the following
The red line is perpendicular to the y-axis.
How can I get the answer
Answer:
A.
Step-by-step explanation:
To find the inverse of a function, first make f(x) a y
So,
y = [tex]\frac{12}{x}[/tex] -18
Then switch the x and the y
x = [tex]\frac{12}{y}[/tex] - 18
Solve, for y
What's 70 x4 I just wanna see if it’s really going to help me
Step-by-step explanation:
70
*4
___
280.......ans
6. Write an equation of a line that is Parallel to the line: y = 3x -3
Answer:
3x - y -6 = 0
Step-by-step explanation:
We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,
[tex]\rm\implies y = 3x - 3 [/tex]
Slope Intercept Form :-
[tex]\rm\implies y = mx + c [/tex]
where ,
m is slopec is y intercept .Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .
Using point slope form :-
[tex]\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}[/tex]
Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. What fraction of tickets are available to sell on Saturday?
The question seems incomplete ; as the total number of tickets to be sold isn't given.
Answer:
61 / X
Step-by-step explanation:
Let's take the total Number of tickets to be sold as : X
Number of tickets sold on Thursday = 47
Number sold on Friday = 14
Fraction of tickets available for sale on Saturday :
(Total number of tickets already sold) / Total number of tickets to be sold
(Thursday + Friday sales) / total number of tickets to be sold
Fraction available for sale on Saturday = (47+14) / X
Fraction available for sale on Saturday = 61 / X
Kindly put value of x = total number of tickets available for sale to get the exact fraction.
algebra help pls answer
Answer:
[tex]\frac{-1+1}{0-(-2)}=0[/tex]
[tex]ANSWER: A)~0[/tex]
------------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Solve the equation and enter the value of x below. 4(x + 1) = 64
Answer:
15
Step-by-step explanation:
Use the distributive property
4x+4=64, then subtract
4x=60, then divide
x=15
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]4(x + 1) = 64 \\ 4x + 4 = 64 \\ 4x = 64 - 4 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
=> The answer is 15.
add: -38+6+27+(-8)+126
Answer:
113
Step-by-step explanation:
Please help me asap!
Answer:
Its 48
Step-by-step explanation:
subtract 69 and 56 from 173, what you have left is your answer
48
Step-by-step explanation:
total 176 subtract 69 and 58 since they are given.
176 - 69 -56 = 48
divide 3 divided by 2/5
Answer:
[tex]{ \tt{ = 3 \div \frac{2}{5} }} \\ = { \tt{3 \times \frac{5}{2} }} \\ = \frac{15}{2} [/tex]
I need the answer ASAP anyone could help me please
Answer:
Is it the answer is C?
2+4+3+5+1=15
Pls help ASAP!!!!!
Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.
Answer:
0. 116
Step-by-step explanation:
The function is given as :-
[tex]\boxed{f(d) = 5(1.02)^d }[/tex]
and we have to find the rate of change from d = 4 to d = 11
[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]
The final input value is 11 whereas the initial input value is 4.
The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).
[tex]{\underline{Initial\:Output}}[/tex]f(4) = [tex]5(1.02)^4[/tex]
f(4) = 5 × 1. 08
f(4) = 5. 41
[tex]{\underline{Final\:Output}}[/tex]f(11) = [tex]5(1.02)^11[/tex]
f(11) = 5 × 1. 24
f(11) = 6. 22
[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]
[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]
Find the area of the triangle bounded by the lines y=x y=-x and y=6.
The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.
What is area of triangle?The formula for finding area could be represented in the form of determinants as given below.
[tex]A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right][/tex]
First, we need to find the coordinates of the point of intersection of these lines.
y = x
y = -x
Adding the two equations,
2y = 0
y = 0
x = 0
coordinate: (0, 0)
y = x
y = 6
Subtracting the two equations,
0 = x - 6
x = 6
coordinate: (6, 6)
y = -x
y = 6
Subtracting the two equations,
- x - 6 = 0
x = -6
coordinate: (-6, 6)
Calculating area of triangle bounded by the given line:
Area of triangle =
[tex]\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right][/tex] = [tex]\frac{1}{2} (36 + 36) = \frac{72}{2} = 36[/tex]
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Stephanie found a sweater on sale for $12.88. The original price of the sweater was $44.95. About how much did she save on the sweater?
rounding
Answer:
$32.07
ROUNDING ANSWER : $32
Step-by-step explanation:
you would subtract $44.95 -$12.88 which would give you $32.07
since you are rounding your answer would be $32
Hope this helps
Answer:
Stephanie saved about $32 on her new sweater.
$44.95 - $12.88 = $32.07
$32.07 rounds down to $32
Step-by-step explanation:
Have the same assignment. Hope this helps!
SOMEONE PLEASE HELP ME OUT!!!!
Answer:
40/30
Step-by-step explanation:
Since tan∅= o/a, 40 is opposite, and 30 is adjacent to angle A, 40/30 is the ratio for tanA.
Answer:40/30
Step-by-step explanation:
....
jayce travels 30 miles per hour in her car.how many miles does she travel in 4 hours
Answer:
120 miles
Step-by-step explanation:
30 miles per hour * 4 hours
120 miles
Answer:
She travels 120 miles in 4 hours.
Step-by-step explanation:
She travel in 4 hours = 30 miles × 4 = 120 milesShe travels 120 miles in 4 hours