Answer
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
Step by step
[tex]y = \frac{2x}{5} + 2[/tex]
Swap roles of x and y
[tex]x = \frac{2}{5} y + 2[/tex]
Then
[tex]5x = 2y + 10[/tex]
So
[tex]2y = 5x - 10[/tex]
Hence
[tex]y = \frac{5}{2} x - 5[/tex]
Therefore
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
What is the complete factorization of x2 + 4x − 45?
Answer:
(x-5) (x+9)
Step-by-step explanation:
what multiplies to -45 but adds to positive 4? -5 and 9. that's how you get (x-5) (x+9)
what are the zeros of the function f(x)=x^2-3x?
What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area
Answer:
29.4 cm^2
Step-by-step explanation:
We can use a proportion to find the height:
120 : 100 = x : 7
x = (120 *7)/100 = 8.4 cm
Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2
Answer:
29.4cm²
Step-by-step explanation:
First we are going to find 120% of 7.
7 × [tex]\frac{120}{100}[/tex] = 8.4 cm
Therefore, 8.4 cm is the height.
Area = [tex]\frac{1}{2}[/tex] Base × Height
= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²
True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false
Answer:
False ..... ....... . . .. ..
If X = 14 units and h = 8 units, then what is the area of the triangle shown above?
Answer:
56 units
Step-by-step explanation:
Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.
In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!
[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]
Therefore, the area of the triangle is 56 units.
I hope this helps! Please let me know if you have any questions :)
if bought 15 caterpillars for $3.00, how much was each caterpillar (find the unit rate for price per caterpillar)
Answer:
20 cents
Step-by-step explanation:
Divide 3 dollars by 15 caterpillars.
3/15 = 0.2
20 cents
What is the surface area and volume of this shape?
Answer:
894.14 mm^2.
Step-by-step explanation:
i did this.
what is the measure of angle dcu
I need more info
Step-by-step explanation:
I can help If i had more info
can anyone help with this? find st and rt
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Help!! Please also explain how you got your answer
Answer:
y = -½x + 4
Step-by-step explanation:
the line passes point of y-intercept (0, 4) ,
and another point (6, 1)
the slope = (1-4)/(6-0) = (-3)/6 = -½
so the Equation is y = -½x + 4
|2x+3|=7;2
help pls
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
help me please and thank you.
Answer:
$127
Step-by-step explanation:
Ur welcome :)
Find the measure of y, round to the nearest tenth
Answer:
y = 8
Step-by-step explanation:
cos = adj/hyp
cos30 = 4√3 / y
y = 4√3 / cos30
y = 6.928203230275509 / 0.866025403784439
y = 8
Which of the following best describes the graph of the polynomial function
below?
Answer:
Step-by-step explanation:
The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros. This parabolic curve opens up and has its vertex (minimum) at (-1, -1).
Answer: The graph has two zeros.
Step-by-step explanation:
The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.
y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.
You can see the height degree of the function is 2.
Therefore, there should be two zeros of the function.
According to the given graph of parabola has two zeros at x = -2 and x = 0.
The graph cross the x-axis at x = -2 and x = 0.
Hence, the graph has two zeros.
Answer is A. The graph has two zeros
Find the area of this figure round your answer to the nearest hundredth. Use 3.14 to approximate
Answer:
Ok from what your saying i would say your talking about a circle the formula to find the area of a circle is PiR^2
so the radius times radius times 3.14
Given 4x2 – 7x = -3, what are the solutions??
Step-by-step explanation:
4*2-7x=-3
8-7x=-3
-7x=-3-8
-7x=-11
x=-11/-7
x=1.5714...
Answer:
x = {3/4, 1}Step-by-step explanation:
4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0 | 4x - 3 = 0x = 1 | x = 3/4X+3y=6 2x+8y=-12 Solve silmatenous equations
Answer:
[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]
In how many year the interest will became equal to the principal is rs.1200 is deposited at the rate of 25% in a bank
Given:
Principal = Rs. 1200
Rate of interest = 25%
To find:
The time in which the interest will became equal to the principal.
Solution:
We have,
[tex]P=1200[/tex]
[tex]r=\dfrac{25}{100}[/tex]
[tex]r=0.25[/tex]
If interest is equal to the principal, then
[tex]Amount=Principal+Interest[/tex]
[tex]Amount=1200+1200[/tex]
[tex]Amount=2400[/tex]
The formula for amount is:
[tex]A=P\left(1+r)^n[/tex]
Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get
[tex]2400=1200(1+0.25)^n[/tex]
[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]
[tex]2=(1.25)^n[/tex]
Taking log on both sides, we get
[tex]\log2=\log(1.25)^n[/tex]
[tex]\log2=n\log(1.25)[/tex] [tex][\because \log a^b=b\log a][/tex]
[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]
[tex]n\approx 3.11[/tex]
Therefore, the interest will became equal to the principal in about 3.11 years.
Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2
Answer:
1.6.7*520=3484
Step-by-step explanation:
( I).67*0.52
convert that 0.52 to proper fraction
67×13/25=871/25
which is=34.84
(III). 3484/5.2
convert 5.2 to improper fraction ❤️
=52/10=26/5
3484/26/5=3484×5/26=670
Write the number 10 000 000 as a power of 10.
Answer:
10⁷
Step-by-step explanation:
Just count the number of zero and raise the counted number of zero.
the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation
Answer:
78 x 160 /100
= 124.8
12 x 325/100
= 39
Step-by-step explanation:
What is the volume of the triangular prism?
Answer:
48 in³
Step-by-step explanation:
the volume = ½×3×4 × 8 = 48 in³
A car goes to point a to b in 3 hours and b to a in 5 hours. A to b are 150 km away what is the speed o car
Answer:
50km/h
Step-by-step explanation:
Given data
A-B
Time taken= 3 hours
Distance= 150km
B-A
Time taken= 5 hours
We know that
Speed= distance/time
Speed= 150/3
Speed= 50km/h
Hence the speed of the car is 50km/h
Write as a single fraction in its simplest form.
how do you do this?
Answer:
(-12x - 25) / (x + 3) (x - 5)
Step-by-step explanation:
1 - 2x/(x+3) + (x+3)/(x - 5)
= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)
= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)
= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)
= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)
= (-12x - 25) / (x + 3) (x - 5)
the top says for the first box : Part A Explain how Mrs. Soto could apply the
following theorem to the problem of restoring
the gate to its original rectangular shape.
Answer:
The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.
Hope this helps!
After how many seconds ,t, will the object be 75 meters above the ground
Answer:
It will be above the ground in C
Step-by-step explanation:
What is the value of x?
Answer:
67.5
Step-by-step explanation:
The sum of the interior angles is 540, therefore
540 = 90 + 4y
540 - 90 = 4y
450 = 4y
450 / 4 = y
112.5 = y
X and Y together equal 180, therefore
180 = x + 112.5
180 - 112.5 = x
67.5 = x
What is the equation of the line
tina works 15 hours a week (monday to friday). last week she worked 3 1/2 hours on monday, 4 hours on tuesday, 2 1/6 hours on wednesday and 1 1/2 on thursday. how many hours did she works on fridays
Answer:
Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.
Step-by-step explanation:
To solve for how many hours Tina worked on Friday you have to add up all the hours worked then subtract that from 15 hours to get the remainder.
Step 1 : Add up all the hours worked so far.
[tex]3\frac{1}{2}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1\frac{1}{2}[/tex] = ?
We need to turn these mixed numbers into improper fractions first so we can add. Let's turn them all into sixths.
[tex]3 \frac{3}{6}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1 \frac{3}{6}[/tex] = [tex]11\frac{1}{6}[/tex]
Allright, so now we know that Tina already worked 11 and 1/6 hours already, so we subtract that from 15 to find how many hours she worked on Friday.
Step 2 : Subtract [tex]11\frac{1}{6}[/tex] from 15.
15 - [tex]11\frac{1}{6}[/tex] = [tex]3 \frac{5}{6}[/tex]
Therefore Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.
Hope this helps, please mark brainliest if possible. Have a great day.
write an equation to represent each graph
equation for first figure=2x+y=2
equation for second figure= 4x-y=8
(use formula x/a+y/b=1)
where, a=x component and b= y component..