Value of x when y = 17 for the quadratic function f(x) = x² + 6x + 10 is -7 and 1. That is option E.
Given, y=17 :
17 = x² + 6x + 10
Move 17 to RHS (right-hand side) :
0 = x² + 6x - 7
Using the Middle Splitting method:
0 = x² + (7x - 1x) - 7
0 = x(x + 7) - 1(x+7)
0 = (x - 1) (x + 7)
Now, equate both the equations (x-1) and (x+7) separately with 0.
The first value of x is
(x - 1) = 0
x = 1
The second value of x is
(x + 7) = 0
x = -7
∴ The values of x are -7 and 1. According to the question, that is option E.
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simplify the equation if a=3. b=-1 and c=5
4a+6-ac+b
Answer:
12 + 6 - 15 + (-1) = 2
Step-by-step explanation:
4a = 3 × 4 = 12
ac = 3 × 5 = 15
12 + 6 - 15 + (-1) = 2
Question 5 of 10
What is the inequality for this verbal description?
The value of y is greater than the sum of negative eight times the value of x
and nine.
A. Y>9x-8
B. y<-8x+9
C. y> -8x+9
D. y<9x-8
The inequality for the given statement is y > -8x+9.
What is the inequality?inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given that,
The statement is "The value of y is greater than the sum of negative eight times the value of x and 9".
According the given statement
First taking the sum of negative eight times the value of x and 9.
-8x+9
Then,
y is greater than -8x+9.
y > -8x+9
Hence, The inequality for the given statement is y > -8x+9.
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Answer the photo of the question pls tyy
The polynomial is
[tex]10x + y[/tex]
PLEASE HELP QUICK!!!!!!!!!!!!!!!!!!!!!!!!
The measures of the unknown angles are as follows:
∠DEA = ∠BEC = 60°∠AEB = ∠CED = 120°How to find the measure of angles?The measures of each angles can be found as follows:
Therefore,
∠AEB = ∠CED (vertically opposite angle)
∠DEA = ∠BEC (vertically opposite angle)
Vertically opposite angles are equal.
Therefore,
4x = 75 - x
4x + x = 75
5x = 75
x = 75 / 5
x = 15
Therefore,
∠DEA = ∠BEC = 4(15) = 60°
∠AEB = ∠CED = 360 - 120 / 2 = 240 / 2 = 120°
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help nakaouebenaooaujwbennfnfnd pls
Answer:
Value of x is 22 because there are alternative angles
Step-by-step explanation:
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.
Please help me in your own words I only have 30 minutes please help me
1) given
2) corresponding angle theorem
3) definition of a linear pair
4) definition of a linear pair
5) supplement theorem
simplify the following surd expressions 2 square root 5 * 5 square root 5
Answer:
50
Step-by-step explanation:
Simplify:[tex]\sf 2\sqrt{5}*5*\sqrt{5} = 2*5* \sqrt{5*5}[/tex]
= 10 * 5
= 50
Multiply the rational numbers and multiply the radicals.
. If four players on the twenty-man baseball roster are left-handed, what
percent of the players are left-handed?
Answer:
20%
Step-by-step explanation:
4/20
20 x 5 = 100
4x 5 =20
20/100=20%
please help me on these 2 questions
Answer:
1. x2-2x-24=0
break middle term
= x2-6x+4x-24=0
factorise:
x(x-6)+4(x-6)=0
=(x+4)(x-6)=0
x+4=0
x= -4
x-6=0
x= 6
2. x2-11x+18=0
break middle term
x2-9x-2x+18=0
Factorise
x(x-9)-2(x-9)=0
(x-2)(x-9)=0
x-2=0
x=2
x-9=0
x=9
Ask me if u don't know how to break middle term
3.5²-√8.6
Answer to the 2nd decimal places
Answer:
9.32 if question is [tex]3.5^2-\sqrt{8.6}[/tex]
or
10.55 if question is [tex]3.5^2 - \sqrt{8} \cdot 6[/tex]
(see explanation below)
Step-by-step explanation:
I took the question as
[tex]3.5^2-\sqrt{8.6}[/tex]
since it was not clear if it was [tex]\sqrt{8.6}[/tex] or [tex]\sqrt{8} \cdot 6[/tex]
If it is [tex]3.5^2 - \sqrt{8} \cdot 6[/tex] then the answer would be 10.55
So check out your question and choose
How would the contrustion be different if you changed the compass setting in the next step of the perpendicular bisector construction
When the compass setting is changed in the next step of perpendicular bisector setting the construction line that suppose to be the perpendicular bisector will:
fail to bisect the line that requires bisectionThe line constructed will jus be a perpendicular lineWhat is perpendicular bisection?When a line say AB requires a perpendicular bisection by another line say CD, the following will happen
Line CD will intersect line AB at a point say MThe point of intersection will create an angle which 90 degrees when measuredline AM = line BM, this means that line CD divided line AB into two equal partsRead more on perpendicular bisection here: https://brainly.com/question/11006922
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What’s 4x=8 simplified pls pls need to know
[tex]4x=8\\\frac{4x}{4} =\frac{8}{4} \\x=2[/tex]
simplified it is x=2
Answer:
x = 2
Step-by-step explanation:
4 x 2 = 8
If Devon had a crush on aleyna and decided to bake cookies for her and the entire class that has 90 people in how many people does devon have to make cookies for including a ton for aleyna since she is his boo?
Step-by-step explanation:
soz bro I need the points but that guy too be moving madd
subtract 18 from the product of 7 and 13
Hello!
The product of something is the outcome of ADDITION.
This means we will have to add 7 and 13.
7+13=20.
It says the subtract 18.
20-18=2.
2 is your answer!!
---------------------------------
this is a pretty simple concept so I hope you understood. just remember product=addition. much love!! <3
Find b
A 16
B 23
C 92
D76
Answer:
b 23 is your answer okisussu
What is 12 divided by .5
(help please i’m bad at division)
Answer:
24
Step-by-step explanation:
Think of .5 as 2 and instead of dividing, you're multiplying.
So instead of 12/.5, it would be 12x2, which is 24.
Hope that helps!
math.uh.edu lloyd's cereal company packages cereal in 1 pound boxes (16 ounces). a sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. if the mean for 1 hour is 1 pound and the standard deviation is 0.1 pound, what is the probability that the amount dispensed per box will have to be increased?
The probability that the amount dispensed per box will have to be increased is 0.0062.
Consider the provided information.
Sample of 16 boxes is selected at random.
If the mean for 1 hour is 1 pound and the standard deviation is 0.1
1 Pound = 16 ounces , then 0.1 Pound = 16/10 = 1.6 ounces
Thus: μ = 16 ounces and σ = 1.6 ounces.
Compute the test probability
z= x−μ/σ/[tex]\sqrt{n}[/tex]
z= 15-16/ 1.6/[tex]\sqrt{4}[/tex]
z= -1/ 0.4
z= -2.5
By using the table.
Probability p value = P(Z<-2.50) = 0.0062
Thus, the probability that the amount dispensed per box will have to be increased is 0.0062.
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4. Find “a” so that the parabola y = ax² + 3x + 11 goes through the point (3,2).
Answer:
a = - 2
Step-by-step explanation:
since the point (3, 2 ) lies on the parabola, then it makes the equation true.
substitute x = 3, y = 2 into the equation and solve for a
y = ax² + 3x + 11
2 = a(3)² + 3(3) + 11
2 = 9a + 9 + 11
2 = 9a + 20 ( subtract 20 from both sides )
- 18 = 9a ( divide both sides by 9 )
- 2 = a
Answer:
a = -2
Step-by-step explanation:
Given quadratic equation:
[tex]y=ax^2+3x+11[/tex]
In order to find "a", substitute the given point on the curve (3, 2) into the equation and solve for a:
[tex]\begin{aligned}y&=ax^2+3x+11\\\textsf{Substitute $(3,2)$} \implies 2&=a(3)^2+3(3)+11\\2&=9a+9+11\\2&=9a+20\\2-20&=9a+20-20\\-18&=9a\\9a&=-18\\\dfrac{9a}{9}&=\dfrac{-18}{9}\\\implies a&=-2 \end{aligned}[/tex]
Therefore, the value of "a" so that parabola y = ax² + 3x + 11 goes through the point (3, 2) is:
[tex]\large \boxed{a=-2}[/tex]
I don’t know what I’m doing wrong for this
Answer:
Step-by-step explanation:
I guess you want to draw the graph.
The graph is a straight line
-6x - 20 = 4y
When x = 0:
-6(0) - 20 = 4y
y = -20/4 = -5
So, one point on the graph
= (0, -5)
When y = -2:
Plugging y = -2 into the equation:
-6x - 20 = 4(-2)
-6x = -8 + 20 = -12
x = -2
So, another point is (-2, -2)
Mark these 2 points on the graph paper
and draw a line passing through them.
Which number is located between 11 and 12 on a number line?
A.
√150
B.
√134
C.
√115
D.
√121
√134 is the number which is located between 11 and 12 on a number line.
What is a Number Line?A number line is a horizontal straight line on which real numbers are arranged in equal intervals. This line extends both sides at infinity.
Comparison and operations of numbers can be better explained using number lines.
Taking consecutive perfect squares of integers which lies above and below the given numbers on the number line and taking it's square root, we can find the answer.
The perfect squares below and above 150 are 144 = 12² and 169 = 13². So √150 lies in between 12 and 13.
The perfect squares below and above 134 are 121 = 11² and 144 = 12². So √134 lies in between 11 and 12.
The perfect squares below and above 115 are 100 = 10² and 121 = 11². So √115 lies in between 10 and 11.
The number 121 is itself a perfect square. √121 = 11.
Hence √134 is the number which lies in between 11 and 12.
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Johnny opened a savings account and deposited $95, and then saved $15 per week. Write an equation representing this scenario. Use for her bank account balance and for the number of weeks that have passed since opening her account.
The following linear equation gives Johnny's savings w weeks after her opened the account.
S(w) = $95 + $15*w
Which equation shows Johnny savings?We know that initially, Johnny deposits an amount of $95, and then he saves $15 per week.
So, after w weeks, the amount in that savings account will be:
S(w) = $95 + $15*w
This linear equation gives the bank account balance w weeks after her opened the account.
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A pre-image includes a line segment with the length of z units in a slope of M units the pre-image is dilated by a scale factor of N. The length of a corresponding line segment in the image is blank units
The length of a corresponding line segment in the image is; Nz
How to find the Slope of the Line Segment?We know that;
Slope is the ratio of change in y-value and change in x-value.
Thus, dilation does not change the slope of any line.
Now, after dilation; M---->M
Length of line:
We know that a dilation has the effect of stretching or shrinking the line segment by the factor of N units
We are given
Length of line = z
Thus, the length after dilation will become
= N * z
= Nz which is the length of a corresponding line segment
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is 10,000,000,001 prime? explain your reasoning
Answer:
Answer down below!
Step-by-step explanation:
It is not prime!!
10,000,000,001 is an odd eleven-digits composite number following 10000000000 and preceding 10000000002. In scientific notation, it is written as 1.0000000001 × 10^10. The sum of its digits is 2. It has a total of 3 prime factors and 8 positive divisors. There are 9,897,840,000 positive integers (up to 10000000001) that are relatively prime to 10000000001.
-2.5(2s-5)-3(4.5s-5.2) simplified is
need help please and thank you ahead of time
Answer: −18.5s+28.1
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Solve b over negative 5.6 is less than or equal to negative 4.9 for b.
b ≥ 27.44
b ≤ 0.7
b ≤ −0.7
b ≥ −10.5
The expression of b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7 ( b less than or equal to 0.7 ).
Based on the given conditions,
Negative 5.6 means = -5.6
Negative 4.9 means = -4.9
Negative 5.6 means ≤ Negative 4.9 means
Then,
-5.6 ≤ -4.9
But,
Let the number b is over negative 5.6,
It means,
We can write,
b + (-5.6) (Equation-1)
This equation-1 is write into,
b + (-5.6) ≤ -4.9
b - 5.6 ≤ -4.9
b ≤ (-4.9) + 5.6
We can sum or difference the products,
b ≤ 0.7
Therefore,
The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7
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Answer: The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7
Step-by-step explanation:
A certain plant grows 1 1/6 inches each werk how long will it rake the plant to grow 6 1/6 inches?
A certain plant grows 1 1/6 inches each week. it will rake the plant to grow 6 1/6 inches is 5 weeks 2 days.
What is the definition of time?Time is ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future. It is a quantity that is part of several measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly the things change in the real world or in our conscious experience. Along with the three spatial dimensions, time is frequently referred to as a fourth dimension.
Time has long been an important subject of study in religion, philosophy, and science, but defining it in a manner applicable to all fields without the circularity has consistently eluded scholars. Nevertheless, diverse fields such as the business, industry, sports, sciences, and the performing arts all incorporate some notion of time into their respective measuring systems.
A certain plant grows every week = [tex]1\frac{1}{6}[/tex] = [tex]\frac{7}{6}[/tex] inches
1 week = 7 days
Therefore in 1 day plant grows = [tex]\frac{\frac{7}{6} }{7}[/tex]
= [tex]\frac{1}{6}[/tex] inch
Now we have to calculate the number of days in which the plant grows [tex]6\frac{1}{6}[/tex] inches ≈ [tex]\frac{37}{6}[/tex] inch
Number of days = [tex]\frac{Total growth}{growth in one day}[/tex]
= [tex]\frac{37}{6}[/tex] ÷ [tex]\frac{1}{6}[/tex]
= [tex]\frac{37}{6}[/tex] × 6
= 37 days ≈ 5 weeks and 2 days
It will take plant 5 weeks 2 days to grow [tex]6\frac{1}{6}[/tex] inches.
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Evaluate 4(x - 3) + 5x - x2 for x = 2.
Step-by-step explanation:
4(x - 3) + 5x - x²
If x = 2,
= 4(2 - 3) + 5(2) - (2)²
= 4(-1) + 10 - 4
= -4 + 10 - 4
= 6 - 4
= 2.
Therefore, it is confirmed that x = 2.
12. Write the equation that represents
the values in the table below.
X
8
y
-29
INS MITT
6
-19
2
1
-4
31
Answer: [tex]y=-5x+11[/tex]
Step-by-step explanation:
We can model this with a line.
The slope of the line is [tex]\frac{-29-1}{8-2}=-5[/tex], and so the equation is [tex]y=-5x+11[/tex].
what is 3/12 converted into over 100
The value of 3/12 of 100 is 25 .
In the question ,
a fraction 3/12 is given ,
we have to find the value of 3/12 of 100 .
to find the value , we first convert both the numbers into fraction
So 100 in fraction form can be written as 100/1
So the value 3/12 of 100 means
= [tex]\frac{3}{12} *\frac{100}{1}[/tex]
multiplying the numerator with numerator
and multiplying denominator with denominator .
we get = 300/12
on further simplification ,
we have ,
= 75/3
= 25
So , 3/12 of 100 = 25
Therefore , The value of 3/12 of 100 is 25 .
The given question is incomplete , the complete question is
What is the value of 3/12 of 100 ?
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What is 84,787 in expanded form?
Answer:
Your number written in expanded form is: 80000 + 4000 + 700 + 80 + 7