Answer:
n = - 6
Step-by-step explanation:
Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0
Here
f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is
f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so
- 27 + 2(9) + 15 + n = 0
- 27 + 18 + 15 + n = 0
6 + n = 0 ( subtract 6 from both sides )
n = - 6
The hypotenuse of a right triangle is 5 meters longer than one of its legs. The other leg is 6 meters. Find the length of the other leg, and round to the nearest tenth of an inch.
Answer:
Use Pythagorean theorm.
a^2 + b^2 = c^2 (c is hypotenuse).
Let c = 5+b (because in the question it says the hypotenuse is one leg plus 5 more meters) ; we will solve for b and say it's the leg we don't know.
We will say A is the "other leg" we know, which is 6.
6^2 + b^2 = (5+b)^2
We get b = 1.1
write a funny statement
Answer:
haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
What is the equation of the line that passes through the point (7,-6)(7,−6) and has a slope of -2−2?
A cube has volume 1331cm3. Calculate the length of one edge of the cube.
Answer:
answer=11 cm.
Step-by-step explanation:
Step-by-step explanation:
V = Volume of cube
a = edge
Formula of volume of cube:
V = a³
[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]
The length of each edge is 11 cm.
A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the purchase price of the house?
If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided in the question,
The selling price of the house = $64,900
Profit percent = 25%
The profit price of the house after selling,
64900 × 25/100
= $16225
Now,
The purchase price of the house,
$64900 - $16225 = $48675.
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ2
7. Find the rate of change from the table.
0
2
4
13
6
-10
20
50
80
Answer:
multiplying 2 then dividing
Step-by-step explanation:
Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.
Answer:
B is twice as far away from point A as it is from point 0
I hope this helps.
y= -8/9 (x+1)+6
convert to standard form
Answer:
mm
kl l
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3
Please need help 100 points
Answer:
(29/37)-(48/37i)
Step-by-step explanation:
Use complex arithmetic rule:
a+bi/c+di = [(c-di)(a+bi)/(c-di)(c+di)] =[(ac+bd)+(bc-ad)i]/c^2+d^2
To get: (29-48i)/37
Then rewrite it in standard complex form to get your answer.
Hope that helps!
Who Is Nathan Drake?
Answer:
he's the guy from uncharted
Answer: Nathan Drake is a fictional character and the protagonist of the Uncharted video game series, developed by Naughty Dog.
3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number.
Answer:
-145/63
Step-by-step explanation:
Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?
Answer:
5 /12
Step-by-step explanation:
Pls can someone pls help me
Please show your work
Answer:
x = 8
I dunno what the question is in the first place, but I assume you are solving for x.
Step-by-step explanation:
The two given angles are equivalent because they are parallel and they have a line that intersects.
The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.
The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.
120 = -8 + 16x
128 = 16x
8 = x
x = 8
The function f(x) = RootIndex 3 StartRoot x EndRoot is reflected over the x-axis to create the graph of g(x) = Negative RootIndex 3 StartRoot x EndRoot. Which is the graph of g(x)? On a coordinate plane, a cube root function goes through (negative 2, negative 8), has an inflection point at (0, 0), and goes through (2, 8). On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8). On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2). On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Answer: On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Step-by-step explanat hope that help
The function is
[tex]\\ \sf\longmapsto f(x)=\sqrt[3]{x}[/tex]
Graph attached
What is four thirds -2/5
Answer:
14/15
Step-by-step explanation:
You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15
3
Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1
Answer:
See Image below for answer:)
Step-by-step explanation:
2x-4>-14 or 2x-4\leq10
Answer:
x>0
Step-by-step explanation:
2x−4>−142x−4
Multiplica −14 y 2 para obtener −28.
2x−4>−28x−4
Agrega 28x a ambos lados.
2x−4+28x>−4
Combina 2x y 28x para obtener 30x.
30x−4>−4
Agrega 4 a ambos lados.
30x>−4+4
Suma −4 y 4 para obtener 0.
30x>0
El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.
x>0
Write a quadratic function in standard form with axis of symmetry x=-5 and y -intercept 3 .
Answer:
follow the statement below
Step-by-step explanation:
The question you presented here has multiple (un-limited) solutions unless you have another condition to solve for a single solution.
Equation: y = ax² + bx + c
y intercept (0 , 3): c = 3
axis of symmetry x=-5, therefore a corresponding point (-10,3) on the curve
3 = a*(-10)² + b*(-10) + 3
100a - 10b = 0
b = 10a .... any pair like a=0.5 b=5; a=1 b=10 0r a=2 b=20 ..... all fit the function
y = 0.5x² + 5x +3
y = x² + 10x + 3
y = 2x² + 20x +3
........................
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles in one hour
Step-by-step explanation:
366/6=
6*6=36
366/6=06
6*1=6
366/6=061 miles per hour
Answer: 61 mph
Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.
What is a limit in calculation.
Answer:
I think this was what you was looking for; The limit is the value of the function approaches as the input approaches mentioned value. Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. Let us understand the limit formula in detail in the following section.
Step-by-step explanation:
The cost of a stove to a store owner was 650$, and she sold the stove for 1040$.
Step 1 of 3: What was her profit?
1040 - 650 = 390
By subtracting the cost from the amount she sold the stove for, we can find the profit of $390.
I hope this helps! :)
What is the line that goes through (2,3) and is perpendicular to the line y = -2x + 9?
ASAP :)
M1=-2
M2=1/2
y-3/x-2=1/2
2y=x+8
If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?
Answer:
The constant is that each 14 t-shirts you need to pay 78.40$
Step-by-step explanation:
If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.
Y=x-6 y=-x-+4
Substitute please.
Answer:
( 5 , − 1 )
Step-by-step explanation:
3) Abhasra and Lisa each improved their yards by planting rose bushes and geraniums. They
bought their supplies from the same store. Abhasra spent $219 on 30 rose bushes and 11
geraniums. Lisa spent $420 on 6 rose bushes and 44 geraniums. Find the cost of one rose bush
and the cost of one geranium.
(EXPLAIN HOW DONE)
Answer:
Step-by-step explanation:
Let R and G stand for the prices of rose bushes and geraniums, respectively.
We are told that:
Abhasra: 30R + 11G = $219
Lisa: 6R + 44G = $420
Two equations and two unknowns. Eliminate one of the variables by substitution:
Let's start with
6R + 44G = $420
and try to eliminate the G. We note that the first equation, 30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:
6R + 44G = $420
4*(30R + 11G = $219) = 120R + 44G = 876
Now subtract this equation from the first:
6R + 44G = $420
-120R - 44G = -$876
-114R = -456
R = 4: Rose bushes are $4 each.
Now use R= $4 in either equation to find G:
6R + 44G = $420
6($4) + 44G = $420
$24 + 44G = $420
44G = $396
G = : Geraniums are $9.00 each.
What is the time difference between usa and england?
Answer:
-5 hours
Step-by-step explanation:
Simplify the expression to a + bi form:
A (-10 – 6i) +(2+i)
What is the answer to this?
Answer: -8 -5i
Step-by-step explanation:
(-10 – 6i) +(2+i)
-10 – 6i +2 + i
(-10 +2) + (i – 6i)
-8 -5i
4x+8=3
help asap
step by step please
[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]
Answer:
x= -5/4
Step-by-step explanation:
4x+8=3
4x=3-8
4x=-5
x= -5/4
A sink can hold 10 gallons of water.how many quarts of water can the sink hold?
Answer:
40 quarts
Step-by-step explanation:
one gallon is 4 quarts, so ten gallons would be 40.
4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)