Answer:
The quotient is 4x+5 and the remainder is -13
Step-by-step explanation:
Using synthetic division
-5 4 25 12
Bringing down the 4 and multiplying
-5 4 25 12
↓ -20 -25
----------------------
4 5 -13
The quotient is 4x+5 and the remainder is -13
Answer:
4x +5 [tex]\frac{-13}{x+5}[/tex]
Step-by-step explanation:
. 4x +5 [tex]\frac{-13}{x+5}[/tex]
x + 5 | 4x^2 + 25x + 12
- 4x^2 + 20x
5x + 12
5x + 25
-13
Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?
Answer:
C=125°
Step-by-step explanation:
Hi there!
To find angle C, we can use the cosine law:
[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]
Plug in the given information
[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]
[tex]cosC=\frac{-31}{54}[/tex]
[tex]C=cos^-^1(\frac{-31}{54})[/tex]
[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]
Therefore, angle C is approximately 125 degrees.
I hope this helps!
evaluate and solve: y + 3 = –y + 9
The value of y is 3.
Answer:
Solution given;
: y + 3 = –y + 9
add +y on both term
y+y+3=-y+y+9
subtract both side by 3
2y+3-3=9-3
2y=6
divide both side by 2
2y/2=6/2
y=3
Answer:
y = 3
Step-by-step explanation:
y + 3 = –y + 9
Add y to each side
y+y + 3 = –y +y+ 9
2y +3 = 9
Subtract 3 from each side
2y+3-3 = 9-3
2y = 6
Divide by 2
2y/2 = 6/2
y = 3
plsssss helpp in the next 2 min gives 10 points
Answer:
The answer is 144,5
Step-by-step explanation:
144,5/170×100 =85%
please answer the question below! first to answer correctly, I will mark as brainliest.
The probability of not winning would be :
1 - probability of winning
This is written as:
1 - n/n+3
Now to simplify as a single fraction rewrite as:
N+3/n+3 - n/n+3
Simplify to get : 3/n+3
half past 9:00p.m. what is half past of 9:00p.m.
Answer:
The answer is 9:30 pm :D.
How many solutions does it have? Pls help
Answer:
2 solutions
i hope this will help you
Problem 7:
show that 4^n + 4^n+1 + 4^n+2 + 4^n+3 + 4^n+4 is divisible by 11 for any positive integer
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)
= 4ⁿ × 341
= 4ⁿ × 11 × 31
please help me out really need help
Answer:
B
add the two together.... 5x^3 is the only cube A or B only x is 6x and only B has that
Step-by-step explanation:
Answer:
your answer is B
[tex]f(x)=2x^{2} +6x-4[/tex]
[tex]g(x)=5x^{3} -6x^{2} -3[/tex]
[tex](f+g)x=2x^{2} +6x-4+5x^{3} -6x^{2} -3[/tex]
[tex]=5x^{3} -4x^{2} +6x-7[/tex]
OAmalOHopeO
AYUDAAA!!
Compara 3/15 y 0.92
Step-by-step explanation:
[tex] \frac{3}{15} = \frac{1}{5} = 0.2 \\ 0.92 = \frac{23}{25} \\ 0.92 > 0.2[/tex]
The equation of line u is y = 9/2x+1. Line v is perpendicular to u. What is the slope of line v
Answer:
Step-by-step explanation:
The slope of line u is 9/2; the line perpendicular to that is the opposite reciprocal...opposite sign and the flip of the fraction. The perpendicular slope is -2/9
Find the equation of the line through the points (-5,11) and (2,-3)
y=
Answer:
Y= -1/2X- 2
Step-by-step explanation:
-3 - 11 = -14
2-(-5) = 7
7/-14 = -1/2
-3 = 2(-1/2) + b
-3 = -1 + b
-2 = b
Y= -1/2X-2
Does anyone know this?
Answer:
functions are expressions that involve 2 variables, a dependent and an independant variable
example: x=3 isn't a function, but 2y=6-x is
Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?
A.0
B.1
1
OC. 2
OD
4
OE
Infinitely many
What is the value of x? PLEASE HELP
Answer:
4
Step-by-step explanation:
Which of the following is in standard form of quadratic? f(x)=-5x^(2)-3x+9 f(x)=-5(x+4)(x-2) f(x)=-5(x-1)^(2)+6 f(x)=2x-8
Step-by-step explanation:
Answer:f(x)=-5x^(2)-3x+9 this is the standard form
Step-by-step explanation: Standard form of quadratic equation is a[tex]x^{2}[/tex]+b[tex]x[/tex]+c.so the first was in standard form.ABC is a straight line and angle CBD = 116°
a) Work out the value of x.
С
B.
169
b) Pis a point on the minor arc AD.
Explain why angle APD = 116'
+
D
Answer:
a) 128°
b) Opposite angles of a cyclic quadrilateral add up 180°
Step-by-step explanation:
→ Work out ABD
180 - 116 = 64°
→ Use the theorem 'The angle at the centre is twice the angle at the centre'
2 × 64 = 128°
→ Use the cyclic quadrilateral theorem
Opposite angles of a cyclic quadrilateral add up 180°
The value of x is 128 degree when the angle CBD is of 116 degree.
What is a quadrilateral?It is a four sided polygon having four angles and four corners.
How to determine angles in a circle?Firstly we find angle ABD which is 180-116=64 Degrees because the angle at the center is twice the angle on the any point of circle.
So the value of x becomes 2*64=128 degrees.
By using the cyclic quadrilateral theorem opposite angles of a cyclic quadrilateral has a sum of 180 degrees.
Learn more about cyclic quadrilateral theorem at https://brainly.com/question/27420229
#SPJ2
A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. By how much % more is the marked price above the cost price?
Give full explanation
Answer:
Let the MP of 1 article = Rs 1
MP of 15 article = Rs 15
SP of (15+1) articles = 15 x 96/100
= Rs 14.40
CP of 16 article = 14.40/135 x 100
= Rs 32/3
CP of 1 article = 32/3x16
= Rs 2/3
Required % = 1/3 x 3/2 x 100
= 50
Diego's family truck holds 21 gallons of fuel. Each day the car uses 1.5 gallons of fuel. A warning light comes on when the remaining fuel is 2.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 10 days without the warning light coming on? Explain or show your reasoning. Starting from a full tank, can Diego's family drive the car for 15 days without the warning light coming on? Explain or show your reasoning. Diego says the expression 21 - 1.5t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for? Write and solve an equation to determine the number of days Diego's father can drive the car without the warning light coming on. Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly what the solution to the inequality means in the context of this situation
Answer:
The inequality is 0.6x < 12.5
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Step-by-step explanation:
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
0.6x < 12.5 inequality that represent the situation
Solve for x
x < 12.5/0.6
x < 20.8 days
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
A house has increased in value by 28% since it was purchased. If the current value is $288,000, what was the value when it
was purchased?
Answer:
$368,640
Step-by-step explanation:
288,000 * .28 = 80640
288,000 + 80640 = 368640
4. (03.05)
The graph shows the production of cars per day at a factory during a certain period of time. What is the domain of this function during this period? (1 point)
The domain is all real numbers o through 9.
The domain is all integers o through 9.
The domain is positive real numbers.
The domain is all positive integers.
Answer:
B. domain is all integers 0 through 9
Step-by-step explanation:
Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.
The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.
1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."
Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?
Answer:
8 1/4 kg
Step-by-step explanation:
Add the weight of the fruits together
3 1/2 + 4 3/4
Get a common denominator of 4
3 2/4 + 4 3/4
7 5/4
7 4/4 + 1/4
8 1/4 kg
PLEASE HELP URGENTLY!!
Answer:
x = 69
Step-by-step explanation:
since AB is parallel to CD we can find the value of y with the following equation :
2y - 40 = 66 add 40 to both sides
2y = 110 divide both sides by 2
y = 55
from supplementary angles, we know that the exterior angle's measure is 124
since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y + x = 124 we found value of y earlier
55 + x = 124 subtract 55 from both sides
x = 69
Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..
Answer:
648
Step-by-step explanation:
18√2×18√2= (18√2)²
= (18)²×(√2)²
= 324×2
= 648
Work out the circumference of this circle 7.5
Answer:
47.12
Step-by-step explanation:
C=2πr=2·π·7.5≈47.12389
Solve 7x + 1 < 4(x - 2).
A. {x | x > 3}
B. {x | x > -3}
C. {x | x < -3}
D. {x | x < 3}
Given:- 7x + 1 < 4(x - 2)
Solving It:-7x + 1 < 4(x - 2)
7x + 1 < 4x - 8
7x - 4x < -8 -1
3x < -9
x < -9/3
x < -3
So Correct Solution Set Will BeC. {x | x < -3}Hope This Helps YouPlease help, explain too and I will give brainliest :)
Answer:
c
Step-by-step explanation:
Answer:
C. 37 degrees
Step-by-step explanation:
27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.
I'm sure you can do it with an actual formula, but i can't recall. Cheers
what would be the u to usub and what would be the steps to solving this integral?
Presumably, ln⁵(x) is the same as (ln(x))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(x)))))).
Then substituting u = ln(x) and du = dx/x gives
[tex]\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}[/tex]
pls help me solve this multiplication fractions. (show work)
Answer:
32:3/4
33:4/3
34:40
35:48
Does this graph show a function? Explain how you know.
Answer:
A is the correct one
cause according to function rule the vertical line should cut only on a one point to be function
as here we can see that vertical line cuts here at two point
The slope of a line is 5/9 and the slope of another line is -975. The two lines
are
Answer:
the third option - they are perpendicular to each other.
Step-by-step explanation:
for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.
and that is exactly what happened here.
