Answer:
2y2+2y+6
Step-by-step explanation:
Answer:
y=7/3= -3.500
y=1
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2". 1 more similar replacement(s).
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*y^2-5*y+2-(6*y^2-5)=0
Step by step solution :
STEP
1
:
Equation at the end of step
1
:
(((4•(y2))-5y)+2)-((2•3y2)-5) = 0
STEP
2
:
Equation at the end of step
2
:
((22y2 - 5y) + 2) - (6y2 - 5) = 0
STEP
3
:
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
-2y2 - 5y + 7 = -1 • (2y2 + 5y - 7)
Trying to factor by splitting the middle term
4.2 Factoring 2y2 + 5y - 7
The first term is, 2y2 its coefficient is 2 .
The middle term is, +5y its coefficient is 5 .
The last term, "the constant", is -7
Step-1 : Multiply the coefficient of the first term by the constant 2 • -7 = -14
Step-2 : Find two factors of -14 whose sum equals the coefficient of the middle term, which is 5 .
-14 + 1 = -13
-7 + 2 = -5
-2 + 7 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 7
2y2 - 2y + 7y - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
2y • (y-1)
Add up the last 2 terms, pulling out common factors :
7 • (y-1)
Step-5 : Add up the four terms of step 4 :
(2y+7) • (y-1)
Which is the desired factorization
Equation at the end of step
4
:
(1 - y) • (2y + 7) = 0
STEP
5
:
Theory - Roots of a product :
5.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
5.2 Solve : -y+1 = 0
Subtract 1 from both sides of the equation :
-y = -1
Multiply both sides of the equation by (-1) : y = 1
Solving a Single Variable Equation :
5.3 Solve : 2y+7 = 0
Subtract 7 from both sides of the equation :
2y = -7
Divide both sides of the equation by 2:
y = -7/2 = -3.500
Supplement : Solving Quadratic Equation Directly
Solving 2y2+5y-7 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex :
6.1 Find the Vertex of t = 2y2+5y-7
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "t" because the coefficient of the first term, 2 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ay2+By+C,the y -coordinate of the vertex is given by -B/(2A) . In our case the y coordinate is -1.2500
Plugging into the parabola formula -1.2500 for y we can calculate the t -coordinate :
t = 2.0 * -1.25 * -1.25 + 5.0 * -1.25 - 7.0
or t = -10.125
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : t = 2y2+5y-7
Axis of Symmetry (dashed) {y}={-1.25}
Vertex at {y,t} = {-1.25,-10.12}
y -Intercepts (Roots) :
Root 1 at {y,t} = {-3.50, 0.00}
Root 2 at {y,t} = { 1.00, 0.00}
I hope this can help you
5(21+4) - i = 38
distributive property
Answer:
i = 87
Step-by-step explanation:
First, you would distribute 5 through the parenthesis by multiplying everything inside by 5. So 5*21=105 and 5*4=20. Next, you would add them together and simplify the equation to 125 - i = 38. Then you would subtract 38 from 125 to receive the equation 87 - i = 0. Finally, you would add i to both sides and get i = 87.
MC
Graw
Hill
Education
Sample Spaces . Practice Item Bank
>
a
Question 7 of 12 V
Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
8 1
7
2
6
3
5
4
A numbered spinner with esht equal parts is spun until it lands on 2.
Select Choice
Select Choice
© Need help with this question?
Done an
Next Question
Check Answer
Answer:81
Step-by-step explanation:
The equation g(120) = 4 can be interpreted to mean: "On Day 2, 120 seconds after the
dog owner left, the dog was 4 feet from the post."
What does each equation mean in this situation?
A . H(40) =4.6
B . f(t) = 5
C . g(t)=d
Answer:
hole bola gola dhola sola
ur answer is c. g(t) = d
A jacket with an original price of $160 is on sale for 15% off what is the sale price
Answer:
$137.50
Step-by-step explanation:
Multiply 160 by 0.15 to find what 15% of 160. The answer is 22.5. Then subtract 22.5 from 160 to find the answer (137.50)
Answer:
$136
Step-by-step explanation:
To solve percent problems, you can use the formula part %
------- = -----
whole 100
The % would be 15, the whole would be 160, and the part would be x. Cross multiply to get 100x = 2400. Divide 2400 by 100 to get x = 24. Then, subtract 24 from $160 to get $136. The sale price is $136.
Can someone PLEASE HELP!!!!!!
Answer:
Pretty sure it's 8 units long
1/2(x-106)=12+7x
solve for x
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
1/2(x - 106) = 12 + 7x
Step 2: Solve for x
[Multiplication Property of Equality] Multiply 2 on both sides: x - 106 = 2(12 + 7x)[Distributive Property] Distribute 2: x - 106 = 24 + 14x[Subtraction Property of Equality] Subtract x on both sides: -106 = 24 + 13x[Subtraction Property of Equality] Subtract 24 on both sides: -130 = 13x[Division Property of Equality] Divide 13 on both sides: -10 = xRewrite: x = -10Please help I’ll mark you as brainliest if correct
Answer:
The answer to this is C. The dinosaur is about 5 feet taller than the person.
Step-by-step explanation:
The reason why is because the human is 4 feet since it says that 1/2 inch on the scale is 2 feet and the human is 1 inch on the scale so the human is 4 feet.
The dino is 8 feet since it goes to 2 inches on the scale which means 8 feet. The difference between 4 and 8 is 4, so 5 feet is the approximate for this problem.
I WILL GIVE 75 POINTS HELP!!!!
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Answer: I would help but im on a phone and the files wont work for me it says "cannot open file try again later"
Step-by-step explanation:
if you share 7 apples equally with three people then there are two and one thirds
Answer:
1.55555555
Step-by-step explanation:
7 - 2 1/3
4 2/3
4 2/3 /3
=1.5555555
Joe needs to advertise his company. He considers
several different brochures of different side lengths
and areas. He presents the data as ordered pairs
(side lengths, area).
(4, 24), (5, 35), (8, 24), (2, 20), (9, 27)
Complete the arrow diagram. Is the area of a
brochure a function of the side length? Explain.
Convince Me! There are two outputs of 24. Does this
help you determine whether the relation is a function?
Explain.
Answer:
For the first question, No, because there is 2 inputs and only 1 output so it is not a function.
Convince me: This does help you find whether it is a function or not. Since 24 has two outputs, it is not a function.
Step-by-step explanation:
Convice me explain: The reason is that is for a function to be a function, there must be one input for one output, it can't have two different outputs.
Hence, it is not a function because one input should have one output not more than you.
What is the ordered pairs?
An ordered pair [tex](a, b)[/tex] is a pair of objects. The order in which the objects appear in the pair is significant: the ordered pair [tex](a, b)[/tex] is different from the ordered pair [tex](b, a)[/tex] unless [tex]a = b[/tex].
(A) No, because there is only two inputs and which have only one output so it is not a function.
Convince me: It does help to you find whether it is a function or not. Since [tex]24[/tex] has two outputs,so it is not a function. So, one input have only one ouput not more than one.
Here given that,
Joe needs to advertise his company. He considers several different brochures of different side lengths and areas. He presents the data as ordered pairs (side lengths, area).
[tex](4, 24), (5, 35), (8, 24), (2, 20), (9, 27)[/tex]
(A) No, because there is only two inputs and which have only one output so it is not a function.
Convince me: It does help to you find whether it is a function or not. Since [tex]24[/tex] has two outputs,so it is not a function. So, one input have only one ouput not more than one.
Hence, it is not a function because one input should have one output not more than you.
To know more about the ordered pairs
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Write an equation for line m
Answer: i think it is (5,6) if it is wrong sorry
Don't for get to drop a heart
Step-by-step explanation:
The attachment im confused?
Answer:
? confused
Step-by-step explanation:
Answer:
Me too
Step-by-step explanation:
help me please!!!!!!!1111
The formula to convert degrees Fahrenheit degrees Celsius is C = (F - 32) Which formula can be used to convert degrees Celsius to degrees Fahrenheit?
Answer:
(°C×9/5)+32= 32°F is the answer
THINK SMARTER
Julie wants to make a drawing that is the size of
the original drawing. Sahil makes a drawing that is the size of the
original. A tree in the original drawing is 12 inches tall. What will be the
difference between the height of the tree in Julie's and Sahil's drawings?
Please help
Answer:
1 in
Step-by-step explanation:
We are given that
Height of tree in original drawing=12 in
Julie's drawing tree height=1/4 of original size
Sahil's drawing tree height=1/3 of original size
We have to find the difference between the height of the tree in Julie's and Sahil's drawings.
Height of tree in Julie's drawing=[tex]\frac{1}{4}\times 12[/tex]in
Height of tree in Julie's drawing=3 in
Height of tree in Sahil's drawing=[tex]\frac{1}{3}\times 12[/tex]in
Height of tree in Sahil's drawing=4 in
Difference between the height of the tree in Julie's and Sahil's drawings=4 in-3in
Difference between the height of the tree in Julie's and Sahil's drawings=1 in
The surface area of a right circular cone is 20 cm. The radius of the base and the slant height are each multiplied by 5, enlarging the cone. What is the surface area of the new cone?
Answer: The answer is B. 50
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
i took the test
HELP!!! Problem solving with Angles! <3
Answer:
x= 41 degrees
Step-by-step explanation:
We know that 76+63+x= 180 degrees, so 139+x= 180
If you rearrange it, it becomes x= 180-139 or x= 41 degrees
Answer:
The answer is 41
Step-by-step explanation:
This a a supplementary angles that add up to 180°. Therefore, if we had this in the equation we get 180° ---> 76 + 63 + 41 =180
Brainliest?
Which digit in the following number is the one that determines its precision?
10.846
Answer:
The precision is determined by the POSITION of the number 6 - NOT its value.
Reflection across the line x=-4
I’m confused pls help me some one
your equation
4
the solution
2
2
evaluate
4
I WILL GIVE BRAINLIEST PLS PLS PLS HELP ITS DUE TOMORROW PLS DO ALL FOR BRAINLIEST
Answer: Sorry but I don't know which one to do and can you move it too the left a little bit so I may see the whole sentence?
Step-by-step explanation:
What is the least common multiple of 9 , 12, 15
Answer:
3
Step-by-step explanation:
9÷3 , 12÷3 , 15÷3
= 3
done
Describe the range of y=3(1/2)^x
Answer:
(0,inf)
Step-by-step explanation:
The range is the y-values included in the graph. This function is exponential decay, which means it has a horizontal asymptote. A function will never cross or touch the horizontal asymptote. Since the asymptote for this graph is y=0, the lowest y-value will be 0, however it is not an included value. Then, the graph will reach every y-value above 0, so the highest range will be infinity.
Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 27 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Rebecca, and John are chosen
Answer:
1/2925 = 0.0003 = 0.03% probability that you, Rebecca, and John are chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the people are chosen is not important, so the combinations formula is used to solve the question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
Only 1 outcome in which these 3 people are selected, so [tex]D = 1[/tex]
Total outcomes:
3 people from a set of 27, so
[tex]T = C_{27,3} = \frac{27!}{3!(27-3)!} = 2925[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{2925} = 0.0003[/tex]
1/2925 = 0.0003 = 0.03% probability that you, Rebecca, and John are chosen.
A factory received a shipment of 19 bolts, and the vendor who sold the items knows there are 7 bolts in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the bolts in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 7 bolts is selected, find the probability that all in the sample are defective. If a sample of 7 bolts is selected, find the probability that none in the sample are defective.
Answer:18
Step-by-step explanation: 19-7=12 bolts and 7+7=14 so 12-14=18
If a sample of 7 bolts is selected, then the probability that all in the sample are defective = [tex]\frac{7}{50388}[/tex]
If a sample of 7 bolts is selected, then the probability that none in the sample are defective = [tex]\frac{66}{4199}[/tex]
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
What is the formula for combination?[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
For given question,
Out of 19 bolts, 7 bolts are defective.
So 19 - 7 = 12 bolts are non-defective.
If sample of 7 bolts is selected.
The total number of ways of selecting 7 bolts from the 19 bolts.
Using combination formula,
[tex]^{19}C_7\\\\=\frac{19!}{7!(19-7)!} \\\\=50388[/tex]
Let event A: all bolts in the sample are defective
n(A) = 7
So the probability that all in the sample are defective would be,
[tex]P(A)=\frac{7}{50388}[/tex]
Let event B: no bolt in the sample are defective
This means the sample of 7 bolts has non-defective.
The total number of ways of selecting 7 bolts from the 12 non-defective bolts.
Using combination formula,
[tex]^{12}C_7\\=\frac{12!}{7!(12-7)!}\\\\ =792[/tex]
son n(B) = 792
So, the probability that none in the sample are defective would be,
[tex]P(B)=\frac{792}{50388} \\\\P(B)=\frac{66}{4199}[/tex]
Therefore, If a sample of 7 bolts is selected, then the probability that all bolts in the sample are defective = [tex]\frac{7}{50388}[/tex]
If a sample of 7 bolts is selected, then the probability that none in the sample are defective = [tex]\frac{66}{4199}[/tex]
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What is the distance between the
plane?
points (2, 1) and (14, 6) on a coordinate
Answer:
13
Step-by-step explanation:
sing the distence formula root (12 squared+ 5 squared)= root (144+25)= root 169 which is 13
if this helps please mark as brainliest.
Help ASAPP LIKE PLSSS SO FAST PLS
Answer:
0.44 and 44/100
Step-by-step explanation:
ANSWER THIS PLEASE WILL GIVE BRAINLEST
Answer:
i think it is 11%
Step-by-step explanation:
cause there is 11 of 20
In the figure shown, determine the measures of the marked angles
Step-by-step explanation:
9x+4+2x=180
= 11x=176
= x=176/11
=x=16
2x=32°
9x+4=148°
The measure of two angles are 2x=31.6° and (9x+4)°=146.4°.
From the given figure, there are two angles 2x° and (9x+4)°.
What are adjacent angles?Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.
Here,
2x°+(9x+4)°=180° (Sum of two adjacent angles is 180°)
⇒ 11x+4=180
⇒ 11x=174
⇒ x=174/11
⇒ x=15.8°
So, 2x=31.6° and (9x+4)°=146.4°
Therefore, the measure of two angles are 2x=31.6° and (9x+4)°=146.4°.
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Which of the following describes the transformation of p(x)=x3 to the function q(x)=−(x−6)3−4 ?
A.)p is reflected over the y-axis and then tranlated 6 units right and 4 units up.
B.)p is reflected over the x-axis and then translated 6 units left and 4 units up
C.)p is reflected over the y-axis and then translated 6 units left and 4 units down.
D.)p is reflected over the x-axis and then translated 6 units right and 4 units down.
Answer:
A
Step-by-step explanation:
(X) =x3 to the function q(x-6)3-4
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES I ADD EXTRA POINTS
Answer:
2/1
Step-by-step explanation:
The left triangle is twice as large as the one on the right, so it would be 2/1.