Answer:The answer is y = 2x3 + 4x2 – x + 5 and y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1
Proof:
Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9
Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0
Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1
Divide both sides by 2:
Answer: x = 1 or x = -4 or x = -1/2
Step-by-step explanation:
The answer is y = 2x3 + 4x2 – x + 5 and y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1
Explanation:
Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9
Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0
Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1
Divide both sides by 2:
Answer: x = 1 or x = -4 or x = -1/2
6 Find the mistakel Circle the mistake below and explain why it is wrong: Label all consecutive Interior angles below then give its Explanation: characteristics. Consecutive interior angles are equal.
PLEASE HELP!!!!
Answer:
Step-by-step explanation:
I can't help u
Please please help hope you have a great day
If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?
On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0).
On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2)
On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5).
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Answer:On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Step-by-step explanation:
(f + g)(x) = -x² + 3x + 5 + x² + 2x = 5x + 5
=> y = 5x + 5
=> the slope is positive
the line crosses the x-axis at (-1;0) and the y-axis at (0;5)
Answer:
I think it is the last graph on Edge
Step-by-step explanation:
Sorry if I'm wrong ;-;
x –12 = -8x + 6 a.x = 2 b.x = -2 c.x = 3 d.x = -3
Answer:
(a) x = 2
Step-by-step explanation:
x - 12 = -8x + 6
First, move all the like terms to one side of the equation. We will move all the x's to the left, and the rest to the right in this equation. (Don't forget to pay attention to the signs of the numbers as you move them over the equal sign.)
x - 12 + 8x = 6
x + 8x = 6 + 12
9x = 18
Next, solve for x by isolating it to one side of the equation. Here, we'll have to divide 18 by 9 (do the opposite of what 9 is doing with x; instead of multiplying it with 18 like it currently is with x, divide 18 by it.)
x = [tex]\frac{18}{9}[/tex]
x = 2
Therefore, your answer is (a), since x = 2.
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
What is the equation of a line in slope-intercept form if the slope is -8 and the y-intercept is 5
Answer:
y = -8x + 5
Step-by-step explanation:
2 variable inequalities from their graphs . Please answer. Ty!
Answer:
y≤[tex]\frac{1}{3} x+1[/tex]
Step-by-step explanation:
Since the graph is facing down, We know the equation is y<mx+b
Since slope is rise/run the slope is 1/3.
Since the y intercept (The point where the line hits y) is 1, the equation is
y<1/3x+1
BUT WAIT!
The line is solid meaning that we have to include the line as part of the values. This will make the new equation
y≤[tex]\frac{1}{3} x+1[/tex]
The two lines
graphed on the
coordinate plane each
represent a linear
equation. Which one of
the following ordered
palrs simultaneously
satisfies both linear
equations?
A.(-7,2)
B.(7,1)
C.(2,-7)
D.(5,5)
Answer:
yewhuh
Step-by-step explanation:
The mean cholesterol level in children is 175 mg/dl with standard deviation 35 mg/dl. Assume this level varies from child to child according to an approximate normal distribution. How high are the levels for the highest 2% of all children?
Answer: Read the following,
Step-by-step explanation:
1
The mean cholesterol level in children is 175 mg/dl with standard deviation 35 mg/dl. Assume this level varies from child to child according to an approximate normal distribution. What percentage of children have a cholesterol level above 200 mg/dl?Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. In healthy Alaskan brown bears, the amount of porphyrin in the bloodstream (in mg/dl) has approximate normal distribution with a mean of 38 mg/dland a standard deviation of 12. What proportion of these bears have between 27.5 and 67.5 mg/dl porphyrin in their bloodstream?A forest products company claims that the amount of usable lumber in its harvested trees averages 172 cubic feet and has standard deviation of 12.4 cubic feet. Assume that these amounts have approximately a normal distribution. What proportion of trees contains more than 150 cubic feet?GPAs of freshman biology majors at a certain university have approximately the normal distribution with the mean 2.87 and the standard deviation is 0.34. What proportion of freshman biology majors have GPA above 3.50?Mensa is an organization whose members possess IQs in the top 2% of the population. If the IQs are normally distributed with a mean of 100 and a standard deviation of 15, what is the minimum IQ necessary for admission?Healthy 10-week-old domestic kittens have average weight 24.5 oz. with a standard deviation of 5.25 oz. The distribution is approximately normal. A kitten isdesignated as dangerously underweight when, at 10 weeks, it weighs less than 10.0 oz. What proportion of healthy kittens will designated as dangerously underweight?
what are two numbers that multiply to the value of 27and add to the value of -12
Answer:
[tex]-9[/tex] and [tex]-3[/tex]
HELP PLEASE ITS DUE TOMMOROW AND I HAVE 2 TESTS TO TAKE TODAY D:
Directions: Find the value of each variable (x and/or y)
Answer:
x=25
x=47
y=25 x=10
y=20
Step-by-step explanation:
2x+10=60
-10 -10
2x=50
2x/2=50/2
x=25
2x+6=100
-6 -6
2x=94
2x/2=94/2
x=47
5y-25=100
+25 +25
5y=125
5y/5=125/5
y=25
11x-30+100=180
11x+70=180
-70 -70
11x=110
11x/11=110/11
x=10
7y-10=3y+70
+10 +10
7y=3y+80
-3y-3y
4y=80
4y/4=80/4
y=20
hopefully this helps :)
5x+2y=29
x+4y =13
i don’t know that answer
Answer:
x=71/9, y= -47/9
Step-by-step explanation:
5x+2y=29
x+4y=13 subtract 4y from both sides
x= -4y+13 substitute on the first one
5( -4y+13) + 2y = 29 distribute in parenthesis
-20y - 65 +2y =29 add 65 to both sides
-20y +2y = 29+65 combine like terms
-18y = 94 divide by -18 both sides
y= 94/-18= -47/9
substitute y =-47/9 in x=-4y+13
x=-4(-47/9)+13=(188/9)+13=188+117/9=71/9
Hector has 10 cups of flour which equation shows how to determine the number of 2/5 of a cup serving where there are in the 10 cups of flour
A. 10 divide by 2/5 equals 25
B. 10x 2/5 equals 4
C. 2/5 divide by 10 equals 1/25
D. 5/2 divide by 10 equals 1/4
HELP!!!!!!!!
Answer:
10/(2/5)
Step-by-step explanation:
Which statement is true for this linear equation?
5x + 6 = 26
It has 2 constants, 1 coefficient, and 1 variable.
It has 2 constants, 1 coefficient, and 2 variables.
It has 1 constant, 2 coefficients, and 1 variable.
It has 3 constants, no coefficients, and no variables.
Answer:
It has 2 constants, 1 coefficient, and 1 variable.
The given linear equation 5x + 6 = 26 has 2 constants, 1 coefficient, and 1 variable.
What is a variable?A quantity that may assume any one of a set of values.
What is a constant?A value or number that never changes in expression
What is a coefficient?A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Given equation is 5x + 6 = 26
variables is "x" i.e. 1
constants are 6, 26 i.e. 2
coefficient is 5 i.e. 1
Thus the given linear equation 5x + 6 = 26 has 2 constants, 1 coefficient, and 1 variable.
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How many teaspoons are in 200 milliliters? 1 tsp = 5 ml 200 mL = [?] tsp
Answer: 40
Step-by-step explanation:
using dimensional analysis ( you might not have learned this yet, but it's basically multiplying things to cancel out units)...
200 ml * (1 tsp/ 5 ml) = 40 tsp
200 milliliters is equal to 40 teaspoons.
Here, we have,
given that,
1 tsp = 5 ml
so, we get,
If 1 teaspoon (tsp) is equal to 5 milliliters (ml),
then to find how many teaspoons are in 200 milliliters (mL),
we have to divide 200 by 5:
so, we get,
200 mL / 5 mL/tsp
= 40 teaspoons (tsp)
i.e. 200 ml * (1 tsp/ 5 ml) = 40 tsp
So, 200 milliliters is equal to 40 teaspoons.
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one large papaya weighed 5 kg if 20 children shared it by cutting into pieces , how much would each piece weight?
Answer:
0.25 kg
Step-by-step explanation:
This is a division problem, assuming the papaya is cut evenly.
[Divide]
5 kg / 20 children = 0.25 kg
A 3-column table with 4 rows. Column 1 is labeled Rectangle with entries A, B, C, D. Column 2 is labeled Width with entries 3 feet, 6 feet, 15 feet, 60 feet. Column 3 is labeled Length with entries 5 feet, 10 feet, 25 feet, 90 feet. Which rectangle is not an enlargement of rectangle A? A B C D
Answer:
The answer is d
Step-by-step explanation:
Answer:
it D
Step-by-step explanation:
hope it helps
7. If a hardboiled egg is cracked, the cracked egg shells could be an
example of *
-the core
-tectonic plates
-the mantle
-the atmopshere
Answer:
The tectonic plates.
Step-by-step explanation:
If you look at a diagram of Earth on Google, you'll see there's the crust, the mantle, the core...etc. If the tectonic plates are apart of the crust- which is the Earth's surface, then it's safe to assume the shell of the egg is the tectonic plates.
Which point will correspond to the rightmost point of the reflected figure?
Answer:
i need help with this question tooo
Step-by-step explanation:
At what point does the graph of the line y=2x−6 cross the y-axis?
a.(2, −6)
b.(0, 2)
c. (0, −6)
d. I don't know.
12 is 90% of what number?
with steps
Answer:
Let's understand the concept:-Here 12 is 90% of a number. So we can say that 90% of That number is 12 .In this way we can get the the number Solution:-Let,
the number=x
According to the question ,[tex]{:}\longrightarrow[/tex][tex]\sf 90\% \:of \;x=12 [/tex]
We know 90%=90/100so add it[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {90}{100}}\times x=12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {90x}{100}}=12 [/tex]
Now use cross multiplication method[tex]{:}\longrightarrow[/tex][tex]\sf 90x=12\times 100 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 90x=1200 [/tex]
Now interchange sides .[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {1200}{90}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {200}{15}}[/tex]
Answer will come in decimals so we take approximate value.[tex]{:}\longrightarrow[/tex][tex]\sf x=13.3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=approximately \:13[/tex]
[tex]\therefore[/tex]The number is 13.
The perimeter of a triangle is 51 cm. The lengths of its sides are x cm, x + 2 cm,
and x + 4 cm. What is the length, in cm, of the longest side of the triangle?
Step-by-step explanation:
16, 17 and 18
Explanation:
a
+
b
+
c
=
51
a
+
a
+
1
+
a
+
2
=
51
3
a
=
48
a
=
16
b
=
17
c
=
18
Explanation:
a
+
bAnswer:
+
c
=
51
a
+
a
+
1
+
a
+
2
=
51
3
a
=
48
a
=
16
b
=
17
c
=
18
Can anyone help me on questions 1-6 and 7-9? If it helps, the blocked document lesson name is lesson 1-6
16r - 8 factored if it can not be factored write prime
Answer:
Algebra 1 questions and answers - Get algebra 1 help with questions involving ratios, proportions, equations with 2 variables, monomials, polynomials, factoring, inequalities, absolute value, graphing, lines, x-intercept, y-intercept, slope, parabolas, functions, roots, radicals, quadratic equations, the quadratic formula and more.
Step-by-step explanation:
A turkey costs $1.05 per pound. They're going to be 15 people at Thanksgiving dinner. Plan for each person to eat two, 3 / 8 lb servings of turkey. How many pounds of turkey will you need to buy?
Answer:
11.25 pounds of chicken need to be bought
Step-by-step explanation:
Per person will eat:
3/8 * 2 = 3/4 = 0.75 pound
So if one person will eat 0.75 pound.
15 people will eat 15 * 0.75 = 11.25 pounds
Prove that Triangle abc and Triangle edc are similar
The corresponding sides have equal ratios, so the triangles are similar triangles.
From the question, we have:
In triangle ABC, AB = 3, BC = 5 and AC = 4
In triangle EDC, ED = 9, DC = 15 and EC = 12
For the triangles to be similar, then the corresponding sides must have an equivalent ratio.
This is calculated as:
[tex]\mathbf{Ratio = \frac{ED}{AB} = \frac{DC}{BC} = \frac{EC}{AC}}[/tex]
So, we have:
[tex]\mathbf{Ratio = \frac{9}{3} = \frac{15}{5} = \frac{12}{4}}[/tex]
[tex]\mathbf{Ratio =3 = 3 = 3}[/tex]
[tex]\mathbf{Ratio =3}[/tex]
Because the corresponding sides have equal ratios, then the triangles are similar.
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Every workday, Zoe bikes 2.6 miles to work along city streets. On the way back, she likes to take a shortcut through a park, so she only bikes 0.9 times that far. How many miles does Zoe bike to work and back in a 5-day workweek?
Answer:
24.7
Step-by-step explanation:
PLEASEEEE HELPPP!!
Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure
Answer:
3. Distributive
Step-by-step explanation:
In the equation 3(x - 2y) if you distribute the 3 to the x and the -2 you would get 3x-6y.
The property illustrated in the equation is 3)Distributive
What is the Distributive property?Distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.
Given here, 3x-6y=3(x-2y)
Thus clearly 3 is distributed over x and 2y
Hence, The property illustrated in the equation is 3)Distributive
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Someone please help me, please
Help me with this please
Answer:
x = 14
I am sure of the answer :)
I don’t know this, solve for x
Answer:
x = 62/61Step-by-step explanation:
120 + 61x -2 = 180 ( sum of opposite angles)
118 + 61x =180
61x= 62
x = 62/61