Answer:
B
Step-by-step explanation:
f(x) = g(x) at the intersection points of the two graphs.
The graphs intersect at x = -4 and x = 0.
At x = -4, f(-4) = g(-4).
At x = 0, f(0) = g(0)
Answer: B
PLEASE HELP ME
Which equation represents this sentence
“Mark is five years older than Jeffrey. The sum of Mark’s age and triple Jeffrey’s age is 73”
Answer:
C
Step-by-step explanation:
Let m represent Mark's age and j represent Jeffrey's age.
Mark is five years older than Jeffrey. Hence:
[tex]m=j+5[/tex]
The sum of Mark's age and triple Jeffrey's age is 73. In other words:
[tex]m+3j=73[/tex]
We can substitute:
[tex](j+5)+3j=73[/tex]
Therefore, our answer is C.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
25.5402665394
Step-by-step explanation:
x=24/cos(20) = 25.54026653942
What is (f.g)(x)?
f(x)=x^3 - 4x + 2
g(x)=x^2 + 2
Answer:
f(g(x)) =
[tex] {x}^{6} + 6 {x}^{4} + 8x^{2} + 2[/tex]
Step-by-step explanation:
put g(x) instead of any x in f(x)
[tex] {(x ^{2} + 2) }^{3} - 4( {x}^{2} + 2) + 2[/tex]
a trio and a quartet got together and played a song how many musicians were there?
Answer:
7
Step-by-step explanation:
trio meaning 3 quartet (quart) 4
large pies cost £3.25 each
small pies cost £1.80 each
five children together buy 2 large pies and 1 small pie. they share the cost equally - how much does each child pay
Answer:
1.66 £
Step-by-step explanation:
(2 * 3.25 + 1.80) : 5 =
8.3 : 5
1.66 £
plz answer!!!!!!!!!!!!!
Answer:
That's cheating my guy...................
help me out please, thank you
Answer:
Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinitely.
Step-by-step explanation:
A car and a bus were travelling towards each other at uniform speeds. They were 250 km apart at noon and passed each other at 2 p.m. If the speed of the car was 75 km/h, find the speed of the bus.
Answer:
50 km/hr
Step-by-step explanation:
speed = x + 75
distance = 250km
time = 2
250 = (x + 75) * 2
125 = x + 75
x = 50
find the compound interest on rs 800 for 2 years at 8% per annum interest being payable annually
Answer:
Rs 968
Step-by-step explanation:
Given :-
P = Rs 800 Rate = 8% Time = 2 yrs .To Find :-
Compound Interest .Solution :-
We know CI as ,
> CI = P ( 1 + R/100)ⁿ
> CI = Rs 800 ( 1 + 10/100)²
> CI = Rs 800 × 11/10 × 11/10
> CI = Rs 968 .
To maintain a balanced diet, ensure that your food contains minimal amounts of certain ingredients. Which ingredient is missing in the sentence below?
One’s diet should include small amounts of fat, , and sugar.
Step-by-step explanation:
i think minerals and vitamins since they are micro nutrients
Polynomial: 2x3 – x2 – 3x + 5; Divisor: x + 3
Answer:
x= 5/2= 2.500
x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)
x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((2 • (x3)) - 3x2) - 3x) - 5 = 0
STEP
2
:
Equation at the end of step
2
:
((2x3 - 3x2) - 3x) - 5 = 0
STEP
3
:
Checking for a perfect cube
3.1 2x3-3x2-3x-5 is not a perfect cube
Trying to factor by pulling out : 3.2 Factoring: 2x3-3x2-3x-5
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -3x-5
Group 2: -3x2+2x3
Pull out from each group separately :
Group 1: (3x+5) • (-1)
Group 2: (2x-3) • (x2)
Bad news !! Factoring by pulling out fails :
Answer:
2x² + 5x – 18 Remainder 59
Step-by-step explanation:
2x³ – x² – 3x + 5 ÷ x + 3
2x² + 5x – 18
x + 3 √ 2x³ – x² – 3x + 5
– 2x³ – 6x²
0 + 5x² – 3x + 5
– 5x² + 15x
0 – 18x + 5
– –18x –54
0 + 59
2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59
use the graph to find the value of y=sin q for the value of q 330
Answer: A) -0.5
Explanation:
Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.
Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)
So q = 330 pairs up with y = -0.5
When principal = Rs x, Time = y years and Rate = z% per year, calculate the simple interest.
Answer:
X×Y×Z%/100
Step-by-step explanation:
using formula
si=p×t×r%/100
Can someone help me with this math homework please!
Answer:
3. The number of students that rode on each bus
Step-by-step explanation:
The equation they give us is:
2b + 6 = 70
The question already tells us that in this equation:
2 is the 2 buses that the school hired
6 is the 6 leftover kids who couldn't fit on the 2 buses
The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).
So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.
Hope it helps (●'◡'●)
which of the following points are in the first quadrant of the xy-plabe? check all that apply
Answer: B and D because for the 1st quadrant both x and y need to be positive
Step-by-step explanation:
B. (2,2)
D. (4,8)
The format for 1st quadrant is: (+,+).
Which equation represents a line which is parallel to the line y=3x–8
Answer:
The equation of line which is parallel to the given line is y = 3 x + k.
Step-by-step explanation:
The equation of the line is
y = 3 x - 8
Compare with the standard equation
y = mx + c
The slope of line is
m = 3
So, the line parallel to the given line is
y = 3 x + k
where, k is any real number.
How much will it cost for a customer to travel:
2 miles
6 miles
How far did a customer travel if they paid £3.50
Answer:
2miles = $3
6 miles = $5
3 miles
Step-by-step explanation:
By observation of the graph, the lines match up from 2 miles to $3
Answer:
offcourse it will be 2 miles .
Need help with these 3 problems!
Answer:
1. 25
2. 44
3. 9
Step-by-step explanation:
Answer:
25 students44 cents9 eggsStep-by-step explanation:
If there are 3 cookies for each student and 75 cookies in total, then the equation would be 75 ÷ 3. that equals 2588 total for 2 cans. Divide 88 by 2 for the unit price. That makes 44 cents. 45 eggs total, 5 layers. Divide 45 by 5. That makes 9 eggs per layer.In 2017, the population of a village was 7500. In 2019, the population of the village was 8265. Work out the percentage increase in the population of the village from 2017 to 2019.
Answer:
10.2%
Step-by-step explanation:
The given population of the village in 2017 = 7,500
The given population of the village in 2019 = 8,265
The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;
[tex]Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}[/tex]
The final value of the population in 2019 = 8,265
The initial value of the population in 2017 = 7.500
Therefore;
[tex]Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%[/tex]
The percentage increase in the population = 10.2%
two significant figures, 18.96 x 2.03 is
Hey is there any chance anyone could help me with this question ASAP?? Tysm :)
Answer:
6
Step-by-step explanation:
A = π. r²
36π = π. r²
eliminate π, we get:
36=r²
r=√36
r = 6
Answer:
r = 6
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Given A = 36π , then
πr² = 36π ( divide both sides by π )
r² = 36 ( take the square root of both sides )
r = [tex]\sqrt{36}[/tex] = 6
What is the equation of the line??
I NEED ANSWERS NOW PLEASEEEEE
for 20 points pls people help me out
Answer:
x = 0
Step-by-step explanation:
This is a vertical line, in fact the y- axis
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line passes through
All of the x- coordinates on the y- axis are zero, then
x = 0 ← equation of line
Someone be generous & help me please I’ll return the favor
Answer:
Step-by-step explanation:
In the image m || n || p.
Given ∠10 = 2x + 70
∠7 = 5x – 20
Find m∠3.
Given:
In the given figure [tex]m\parallel n\parallel p[/tex].
[tex]m\angle 10=2x+70[/tex]
[tex]m\angle 7=5x-20[/tex]
To find:
The [tex]m\angle 3[/tex].
Solution:
If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.
[tex]m\angle 7=m\angle 10[/tex] (Alternate exterior angle)
[tex]2x+70=5x-20[/tex]
[tex]70+20=5x-2x[/tex]
[tex]90=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{90}{3}=\dfrac{3x}{3}[/tex]
[tex]30=x[/tex]
Now,
[tex]m\angle 3=m\angle 7[/tex] (Corresponding angles)
[tex]m\angle 3=5x-20[/tex]
[tex]m\angle 3=5(30)-20[/tex]
[tex]m\angle 3=150-20[/tex]
[tex]m\angle 3=130[/tex]
Therefore, the measure of angle 3 is 130 degrees.
Someone tell me where everyone is going right please !!
Answer:
hello dude
equation;
7.8x - 100 > 79.86 + 5.8x
and answers are at the photo
HAVE A NİCE DAY
Step-by-step explanation:
greeetings from Turkey ツ
Answer:
1st drop box: (1) 7.5x - 100 > 79.86 + 5.8x
2nd drop box: (4) x > 105.8
3rd drop box: (4) 106
Step-by-step explanation:
1st drop box:
Revenue (the money you receive) must be greater than the costs (money you spend) to make a profit.
2nd drop box:
Use basic algebra to solve for x:
7.5x - 100 > 79.86 + 5.8x
(subtract 5.8x from both sides)
1.7x - 100 > 79.86
(add 100 to both sides)
1.7x > 179.86
(divide both sides by 1.7)
x > 105.8
3rd drop box:
We already know the solution to the inequality is x > 105.8
Notice how all the answer choices are whole numbers and the inequality sign is "greater than" and not "greater than or equal to".
That means it doesn't include 105.8
And it can't be 105 because 105 is NOT greater than 105.8
So the answer is 106
Hope it helps (●'◡'●)
This graph shows a proportional relationship.
What is the constant of proportionality?
Answer:
[tex]m = \frac{3}{4}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The constant of proportionality
Select two points on the graph
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (4,3)[/tex]
So, the constant of proportionality (k) is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-0}{4-0}[/tex]
[tex]m = \frac{3}{4}[/tex]
answer and or help would be much appreciated work is due and needs to be submitted
Answer:
1. D
2. C
3. B
4. A
Step-by-step explanation:
just match up the number y is on the right side and x on the left side like this (x,y)
Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter.
Complete question is;
Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter. Write the equation of the circle.
Answer:
x² + y² - 6x + 2y + 5 = 0
Step-by-step explanation:
The end points of the diameter are;
(4. -3) and (2, 1).
Thus, the centre coordinates will be the midpoint of the diameter endpoints.
Thus;
Centre coordinates = ((4 + 2)/2), ((-3 + 1)/2) = (3, -1)
Diameter;
d = √(1 - (-3))² + (2 - 4)²)
d = √20
d = 2√5
Radius = ½ × diameter
Thus;
r = ½ × 2√5
r = √5
Equation of a circle is;
(x - a)² + (y - b)² = r²
Where;
(a, b) are coordinates of the centre of the circle
r is radius.
Thus;
(x - 3)² + (y - (-1))² = (√5)²
x² - 6x + 9 + y² + 2y + 1 = 5
x² + y² - 6x + 2y + 10 = 5
x² + y² - 6x + 2y + 10 - 5 = 0
x² + y² - 6x + 2y + 5 = 0
1. What is the perimeter of the figure below. Simplify.
4x^3-5x 2x^3+6x 6x^3+x
Answer:
[tex]12x^3+2x[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of its sides.
The sides in the triangle shown have lengths [tex]2x^3+6x[/tex], [tex]4x^3-5x[/tex], and [tex]6x^3+x[/tex] in no specific order.
Since its perimeter is given by the sum of its sides, the perimeter is equal to:
[tex]2x^3+6x+4x^3-5x+6x^3+x[/tex]
Combine like terms:
[tex]\boxed{12x^3+2x}[/tex]
Find the vertex of the function y = (1/5)x^2 + (4/5)X + 1/5
A. (-2, 1)
B. (2, 1)
C. (2, -1)
D. 12/5, 1)
Answer:
(-2, -3/5) IS THE CORRECT ANSWER
Step-by-step explanation:
The vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).
To find the vertex of the quadratic function in the form y = ax² + bx + c, we can use the formula:
x = -b / (2a)
y = f(x) = ax² + bx + c
For the given function y = (1/5)x² + (4/5)x + 1/5,
a = 1/5
b = 4/5
c = 1/5
Now we can find the x-coordinate of the vertex:
x = -b / (2a)
= -(4/5) / (2 x (1/5))
= -4/5 / (2/5)
= -4/5 x 5/2
= -4/2
= -2
To find the y-coordinate, substitute the value of x
y = (1/5)(-2)² + (4/5)(-2) + 1/5
= (1/5)(4) + (-8/5) + 1/5
= 4/5 - 8/5 + 1/5
= -3/5
Therefore, the vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).
Learn more about Vertex of function here:
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