A gas tank holds 16 1/2 gallons of fuel. If you used 7 1/4 gallons of fuel yesterday and 3 1/2 gallons of fuel today, how many gallons of fuel are left in the tank?
Answer:
5 3/4 gallons of fuel left in the tank
Step-by-step explanation
16 1/2 - 7 1/4 = 9 3/4
9 3/4 - 3 1/2 = 5 3/4
Purchased bed for $119.99 bought it at $71.99 the percent difference was 40% or $48.00. How to I write an equation that relates y discount cost to x original cost.
Answer:How was the question asked I bet I could figure it out if you told me that
Step-by-step explanation:
The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?
Answer:
Option (2). 1
Step-by-step explanation:
Coordinates of point A, B, C and D are,
A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).
Quadrilateral ABCD when rotated 90° clockwise about the origin,
Rule for the rotation of the vertices,
(x, y) → (y, -x)
Following the rule of rotation coordinates of the image points,
A(-4, 4) → A'(4, 4)
B(-2, 4) → B'(4, 2)
C(-2, 1) → C'(1, 2)
D(-4, 3) → D'(3, 4)
Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.
Option (2) is the correct option.
Please Help Asap thank you soo much god bless you
1) x ≤ 30
2) 5x + 2x ≥ 14
3) xy ≤ 4
4) y - 5 < 20
Step-by-step explanation:
please mark me as brainlest
how can patterns help me divide multiples of 10?
What number is 0.001 more than 3.9?
Answer:
3.901
Step-by-step explanation:
Add 0.001 to 3.9.
Answer:
3.901
Step-by-step explanation:
2x+7 the 7 is a what
What do you mean exactly
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s estimate?
A. 2.13%
B. 2.18%
C. 12%
D. 46.83%
Answer:
A
okay? Answer A
569,820 divide by 4
569,820 divide by 5
569,820 divide by 10
569,820 divide by 6
569,820 divide by 9
569,820 divide by 3
569,820 divide by 2
and when your done just tell me which one has no remainders (If u tell me the remainders, u get 1 bonus point and that equals........18 POINTS!!)
Answer:
569820/4=142455
569820/5=113964
569820/10=56982
569820/6=94970
569820/9=63313.33333333333333 (remainder)
569820/3=189940
569820/2=284910
Step-by-step explanation:
how could we graphically visualize the relationshio between the age of a used car and the selling price if a used car
4
Which function family does f(x)=5(x-2)2 + 3 belong to?
Answer:
Quadratic
Step-by-step explanation:
The type of quadratic function in the question is in vertex form.
Given
f(x) = 6x^3 +19x²-29x +c where c is a constant
if (x-1) is a factor of f(x),
find value of c
Hence, solve the equation of f(x) =0.
Answer:
[tex]c=4\\x=1, x=\frac{-25+\sqrt{721}}{12},x=\frac{-25-\sqrt{721}}{12}[/tex]
Step-by-step explanation:
See the picture attached
4(3x + 2) = 4(2x + 3) + 4x
Answer:
x = -4
Step-by-step explanation:
4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)
12x + 8 = 8x + 12 + 4x (collect like terms)
12x + 8 = 13x + 12 (subtract 12x on both sides)
8 = x + 12 (subtract 12 on both sides)
-4 = x
Hope this helps ya!
Solve -2(5x – 3) = 41.
Answer:
Divide both sides by the numeric factor on the left side, then solve.
Exact Form:
x=−7/2
Decimal Form:
x=−3.5
Mixed Number Form:
x=−3 1/2
Step-by-step explanation:
Answer:
- 3.5
Step-by-step explanation:
hope this helps :)
(x-5)²+2y³(x-5)+y[tex]{6}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( {x - 5})^{2} + 2 \times ( x - 5 ) \times ( {y}^{3} ) + ({ {y}^{3} })^{2} = \\ [/tex]
[tex]( \: {(x - 5) + {y}^{3} } \: )^{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Given q(x)=3x and r(x)=x2.
What is (r∘q)(2)?
a. 36
b. 10
c. 12
d. 24
Answer:
36
Step-by-step explanation:
(r∘q)(2)=
= ((3x)^2(2)
=(3*2)^2
=6^2
=36
The plumber added an extra $35 to her bill
Answer:
you just add 35 to her bill
Find the next three terms of each arithmetic sequence.
4. 9, 13, 17, 21, 25, ...
6. 29, 35, 41, 47, ...
5. 4, 0, -4, -8, -12,...
Answer:
(4) 29, 33, 37
(6) 53, 59, 65
(5) -16, -20, -24
Step-by-step explanation:
If angle M is represented by x + 16 and angle G is represented by
X – 40, and angles M and G are complementary, what is the
measure of angle M?
Answer:
the measure of angle M is 73 degrees
Step-by-step explanation:
the sum of complementary angles is 90 degrees. so set up the equation as:
x+16+x-40=90
combine like terms and you get:
2x-24=90
add 24 on both sides and you get:
2x=114
divide by 2 on both sides to isolate x and you get:
x=57
since the equation for angle M is x+16, you substitute 57 for x and you get:
M=57+16
M=73
An airplane flew 2400 miles in 4 hours if the plane for the same number of miles each hour how many miles it fly in 1 hour
Answer:
600?
Step-by-step explanation:
you do 2400÷4 which would be 600 for each hour
Is h = 11 a solution to the inequality below? 22 over h > 11
Answer:
no because if you insert 11 as h you get the inequality 2>11 wich isnt true
Step-by-step explanation:
10. How many linear feet of cove molding are needed to trim the ceiling of a
12-foot by 16-foot family room?
Answer:
24 look it up on Google and your welcome I hope I'm right good day
Find the value of the variable
[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]
The above quadrilateral is a square because of the marking shown for the equilaterality of sides.
We have,
Side of the square = 13We need to find:
Variable x and y?Solution:
x is the side of the square and y is the diagonal. Hence,
[tex] \large{ \boxed{ \sf{x = 13}}}[/tex]
And for finding the diagonal which can use the Pythagoras theoram where the leg sides (p and b) are the sides of the triangle. Hence,
➝ y = √13² + 13²
➝ y = √338.
[tex] \large{ \boxed{ \sf{y = 13 \sqrt{2} }}}[/tex]
The correct option is Option (D)
☃️[tex] \large{ \purple{ \bf{FadedElla}}}[/tex]
3. Use the given information about the polynomial graph to write out the equation.
Degree 5, Roots of multiplicity 2 at x = 3 and x = -2 and a root of multiplicity 1 at x = 4,
y-intercept at (0,12).
Answer:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Step-by-step explanation:
The standard form for a polynomial equation in its factored form is:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros and a is the leading coefficient.
We know that the degree of the polynomial is 5.
We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).
These have a multiplicity of two, so we will square them.
We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.
Therefore, our polynomial is now:
[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]
We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:
[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]
Evaluate:
[tex]12=a(9)(4)(-4)[/tex]
Evaluate:
[tex]-144a=12[/tex]
Divide both sides by -144:
[tex]a=-1/12[/tex]
Hence, our entire polynomial is:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5
games and paid $32. Write and solve a linear equation to find the cost to rent the shoes.
PLZ HELP!!!! Explain 72. Determine the value of r so that a line through the points with the coordinates (r, 4) and (-2,3) has
slope 1/4
a. 4.5
b. 6
c. -2
d. 2
9514 1404 393
Answer:
d. 2
Step-by-step explanation:
The point-slope form of the equation for the line can make use of the given slope and point:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -3 = 1/4(x +2) . . . . line with slope 1/4 through point (-2, 3)
Filling in the unknown point values, we have ...
4 -3 = 1/4(r +2)
4 = r + 2
2 = r
_____
Alternate solution
The way the question is worded, you seem to be expected to use the slope formula.
m = (y2 -y1)/(x2 -x1)
For the given points and slope, you have ...
1/4 = (3 -4)/(-2 -r)
-2 -r = 4(-1) . . . cross multiply
2 = r . . . . . . . . add r+4 to both sides
Which of the following pairs of functions are inverses of each other?
Answer:
The answer is (B).
Step-by-step explanation:
A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]
g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3
B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]
g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)
44. Time to Complete a Task Two machines can complete a task in t hours, where t must satisfy the
equation t/8+t/12 = 1. How long will it take for the two machines to complete the task?
Answer:5 h 48 min
Step-by-step explanation:
t/8+t/12=1
=> 3t+2t =24
5t=24
t=24/5
t=5 and 4/5 h
That equal to 5 h and 8/10 h or 5h and 8*6 min
So the answer is 5 h 48 min
Help please! Due today
Solve: |x|-7<15
Answer:
No Solution
Step-by-step explanation:
Answer:
pretty sure its
0.466666
Step-by-step explanation:
I gotchu all. Download the file and read what's inside I hope it makes you feel better if you're having a bad day :>