Answer:
The two possible outcomes are 4 and -12, so 4
Step-by-step explanation:
The greatest value of x is 4.
What is factorization?
Factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization.
Given equation
⇒ [tex]x^{2} +8x-30 = 18[/tex]
⇒ [tex]x^{2} +8x-30-18=0[/tex]
⇒ [tex]x^{2} +8x-48=0[/tex]
⇒ [tex]x^{2} +12x-4x-48=0[/tex]
⇒ [tex]x(x+12)-4(x+12)=0[/tex]
⇒ [tex](x+12)(x-4)=0[/tex]
x = -12 and x = 4
Hence, the greatest value of x is 4.
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H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5
Answer:
[tex]h(-6) = -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]
Required
Determine h(-6)
To do this, we make use of:
[tex]h(x) = \frac{x + 4}{10}[/tex]
Because [tex]-7 \le -6 <-5[/tex]
So, we have:
[tex]h(x) = \frac{x + 4}{10}[/tex]
[tex]h(-6) = \frac{-6 + 4}{10}[/tex]
[tex]h(-6) = \frac{-2}{10}[/tex]
Simplify
[tex]h(-6) = -\frac{1}{5}[/tex]
Find the measure of the exterior angle.
[tex] \huge{ \mathfrak{ Answer }}[/tex]
Exterior angle = sum of opposite interior angles,
so,
[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]
[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]value of t = 50°
[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]
[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]measure of exterior angle is 110°
[tex] \normalsize{ \#TeeNForeveR}[/tex]
For each pair of equations draw the lines for each the point of intersection represents the sol y=3x-1 y=2x
Answer:
Point of intersection is - (x, y) = (1, 2)
Step-by-step explanation:
Given - y=3x-1 y=2x
To find - For each pair of equations draw the lines for each the point of intersection represents the sol.
Proof -
Given that, the two lines are
y = 3x - 1 .........(1)
y = 2x .........(2)
For the intersection point, Compare the two equations (1) and (2)
By comparing, we get
3x - 1 = 2x
⇒3x - 2x - 1 = 0
⇒x - 1 = 0
⇒x = 1
Now,
Put the value of x in equation (1), we get
y = 3(1) - 1
= 3 - 1
= 2
⇒y = 2
∴ we get
Point of intersection is - (x, y) = (1, 2)
The graph is as follows :
I forgot how to solve multistep equations. Let me explain, I forgot how to solve the equations that are like x + 36 = 4x, I don't understand it, Help?
What is the equation for -19 = b - 6
Answer:-13=b, b=-13
Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13
Answer:
[tex]b=-13[/tex]
Step-by-step explanation:
[tex]-19 = b - 6[/tex]
Switch sides
[tex]b-6=-19[/tex]
Add 6 to both sides
[tex]b-6+6=-19+6[/tex]
Simplify
[tex]b=-13[/tex]
The number (6) is what type
of number?
Answer:
even?
Step-by-step explanation:
I dont really get it
Answer:
Natural number, Composite number, Smallest perfect number
Step-by-step explanation:
Hope this helps!
Look at this shape:which image shows a reflection?
Answer: C
You are looking for a shape that mirrors the question. If you mirror the question, your answer will be option C.
I hope you have a great day and take mental health breaks!
The correct reflection of the given shape is shown in option (c).
What is reflection?Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.
The given image shows the shape which is faced toward east direction, when we place a mirror in front of the shape, the reflection of the image changes in west direction.
Option (c) shows the exact reflection of the given shape.
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The standard diameter of a golf ball is 42.67 mm.
A golf ball factory does quality control on the golf balls it manufactures. Golf balls are randomly measured to ensure the correct size. If the discrepancy in diameter is more than 0.004 mm, the production is stopped.
Which function could represent this situation
Answer:
The first one is the second option
The second one is the 2 and 4 options
Step-by-step explanation:
It’s right on ed
Answers:
B. (f(x) = |42.67 – x|)
B and D (42.6668 mm and 42.673 mm)
the next slide-
The parent function has a slope of 1 or -1 from any point to the vertex. In the problem, we are given the points
(–2, 3) and (–1, 0)
The slope between the two points is
m = 0 - 3 / (-1 - (-2))
m = 3
The slope is greater than 1. Therefore, the graph has been dilated by a scale factor other than 1.
Solve for a
3x - 2 = 4x + 5
Answer:
X = -7
Step-by-step explanation:
PLEASE HELPPPP ILL GIVE BRAINLIEST!!!
Dan, Anna, and Todd are walking in a city park. Each time Dan takes 3 steps, Anna takes 5 steps. Each time Anna takes 3 steps, Todd takes 5 steps. If Anna and Todd take a combined total of 400 steps, how many steps does Dan take?
Answer:
1200
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Giving brainlist to whoever answers
Answer:
b
Step-by-step explanation:
Answer:
it should be a
Step-by-step explanation:
the symbol means less than or equal to so she will have more then 120 buttions
1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?
Answer:
$400
Step-by-step explanation:
Please help-
Sam has 3 shirts, 3 pairs of shorts, and 2 pairs of shoes. How many possible combinations does Sam have if she wears 1 shirt, 1 pair of shorts and 1 pair of shoes at a time?
Answer:
The answer should be 18: 3 x 3 x 2
Evaluate the expression shown below and write the answer as a fraction in simplert form.
Answer:
-8/19
Step-by-step explanation:
-11/19 + 3/19
Since the denominators are the same, we add the numerators
(-11+3) /19
-8/19
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=2x-5
Step-by-step explanation:
i took algebra
Directions: Find the odds and the probability of the event(s) occuring.
You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a two.
Plone and then two) =
Odds =
Answer:
1/36
Step-by-step explanation:
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
The answer is D
Step-by-step explanation:
when you are dividing two numbers with an exponent you want to subtract the exponents.
7-4 =3
Write an equation of the line that contains the given points.
(-1,9), (0, -8)
Answer:
y = -17x + 10
Step-by-step explanation:
to find slope use m= y2-y1/x2-x1
m= -8-9/0-(-1)
m= -17/1
m=-17
then use point slope formula (y-y1) =m(x-x1)
(y-9) = -17(x-(-1))
simplify
y-9 = -17x + 1
turn into slope intercept form
y = -17x + 10
Which would NOT be included on an income statement for the Best Brand Company? A. Projected Profit b. Net Sales c. Cost of Goods d. Operating Expenses Please select the best answer from the choices provided A B C D
Answer:
Option A
Step-by-step explanation:
The income statement comprises of income made in a given year.
It never gives details of the target income or the income projected.
Hence, projected profit will not be included in the income statement. Rest all other options i,e Net Sales c. Cost of Goods d. Operating Expenses are the actual income and expenditure components that are included in a income statement
Option A is correct
Answer:A
Step-by-step explanation:I just took the test
Need answer ASAP, don't need explanation. Find the area of the shaded region. Those are the four options.
Answer:
All you have to do is multiply 14 by 8.
14 x 8 = 112
Step-by-step explanation:
Help me and show work plz <3
HRLPPPPP IM FAILING MATHH
If you get $0.75 everyday for 7 years and already have $4.35 (not counting leap years) how much money would you have at the end of it all?
Step-by-step explanation:
7 years
leap years in 7 years:- 1
7 minus 1 equals to 6
6 calendar years to days:- 2190 days
so, $0.75 times 2190 = $1642.5
1642.5 plus $4.35 equals to 1646.85
Quick question if I had a problem that was sin x = 18.9/20 =.945 how would I inverse sin of both sides ?
Answer:
The result is about 70.9 degrees
Step-by-step explanation:
Easy for a calculator. If you're not using a calculator, it's much more tedious!
There is an inverse sine key on your calculator, but you may have to press a key (likely labeled 2nd or INV) first. The attached image shows a TI-83 display. To get the inverse sine, I first pressed the yellow 2nd key, then the sin key.
Check MODE first to make sure you're measuring angles in degrees (if that's what you want!). Some calculators display angle mode with a small letter at the top of the display, D, R, or G usually.
The left side of the equation produces just x.
[tex]\sin{x}=.945\\\\\sin^{-1}(\sin{x})=\sin^{-1}(.945)\\x=\sin^{-1}(.945) \approx 70.9^\circ[/tex]
Sydney currently earns 11.50 an hour working part time. What is the minimum increase per hour she needs to at least match the average annual rate of inflation at three percent
Answer:
The salary of Sydney to meet the loss due to inflation should be 11.85 per hour
Step-by-step explanation:
The inflation rate is 3%
This means that the alary amount will reduce by 3%.
3% of Sydney's hourly salary is
[tex]\frac{3}{100} *11.50[/tex] = 0.345
Hence, the new salary must increase by 0.345 dollar per hour
The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85
2x + y - z = -8
2y + 3z = -6
-1/2x + y + z = -4
For the following matrix, which of the following matrix operations would result in a11 = 1?
Multiply row 2 by -1 and add it to row 1.
Multiply row 1 by - 1/2.
Multiply row 1 by 1/2.
Multiply row 3 by -4 and add it to row 1.
(please show your solution if possible & pls just type in the comments if unsure abt your answer.. thank you)
Answer:
Multiply row 1 by [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
The augmented matrix of the system of linear equation is described below:
[tex]\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]
Where [tex]a_{11} = 2[/tex], if we need to create [tex]a_{11} = 1[/tex], we need to multiply row 1 by [tex]\frac{1}{2}[/tex], that is to say:
[tex]\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]
Hence, the correct answer is: Multiply row 1 by [tex]\frac{1}{2}[/tex].
state study on labor reported that one-third of full-time teachers in the state also worked part-time at another job. For those teachers, the average number of hours worked per week at the part-time job was 13. After an increase in state teacher salaries, a random sample of 400 teachers who worked part-time at another job was selected. The average number of hours worked per week at the part-time job for the teachers in the sample was 12.5 with a standard deviation of 6.5 hours. Is there convincing statistical evidence, at the level of α=0.05, that the average number of hours worked per week at part-time jobs decreased after the salary increase?
(A) No. The p-value of the appropriate test is greater than 0.05.
(B) No. The p-value of the appropriate test is less than 0.05.
(C) Yes. The p-value of the appropriate test is greater than 0.05.
(D) Yes. The p-value of the appropriate test is less than 0.05.
(E) Not enough information is given to determine whether there is convincing statistical evidence
answer a show work, please
Answer: a) no. The p value of the appropriate test is greater than 0.05
Step-by-step explanation:
The statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have:
Sample size n = 400 teachers
Sample mean X = 12.5 hours
Standard deviation S = 6.5 hours
Population mean u = 13 hours
Null hypothesis H0: u = 13
Alternativ hypothesis u <13
T-test:
[tex]\rm t = \frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]
[tex]\rm t = \frac{12.5-13}{\frac{6.5}{\sqrt{400} } }[/tex]
t = -1.5385
Now degree freedom df = n -1 = 400 - 1
df = 399, α = 0.05
P-value = p[1+t<-1.5385]
P-value = 0.0624
∴ P-value is greater than α because of this the null hypothesis failed.
Thus, the statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.
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1.x3 + 2x
Name the polynomial by number of terms. select the correct response
4 term polynomial
monomial
binomial
trinomial
(NO LINKS) I BEG U HALP FELLOW SMART PPL
Answer: See the image below for the filled out table.
The other root is x = -2
===========================================================
Explanation:
The turning point is at (1, -45) which is the vertex. This is where the graph goes downhill, and then turns around to go uphill, or vice versa. Depending on the direction, the vertex is the lowest point or the highest point on the parabola.
We have (h,k) = (1,-45) as the vertex, so h = 1 and k = -45
y = a(x-h)^2 + k
y = a(x-1)^2 + (-45)
y = a(x-1)^2 - 45
Now plug in any other point from the table. You cannot pick (1,-45) or else you won't be able to solve for the variable 'a'. Let's go for (0,-40)
We'll plug x = 0 and y = -40 into the equation above to solve for 'a'
y = a(x-1)^2 - 45
-40 = a(0-1)^2 - 45
-40 = a(-1)^2 - 45
-40 = a - 45
a-45 = -40
a = -40+45
a = 5
Therefore, the equation for this parabola is
y = 5(x-1)^2 - 45
As a way to check, we can plug in something like x = -3 to find that...
y = 5(x-1)^2 - 45
y = 5(-3-1)^2 - 45
y = 5(-4)^2 - 45
y = 5(16) - 45
y = 80 - 45
y = 35
Which matches what the table shows in the first column. I'll let you verify the other columns. As you can probably guess at this point, we'll plug in the x values to get the corresponding y values.
So for x = -2, we get...
y = 5(x-1)^2 - 45
y = 5(-2-1)^2 - 45
y = 5(-3)^2 - 45
y = 5(9) - 45
y = 45 - 45
y = 0
The result of 0 here indicates we have a root at x = -2. This is the other x intercept. The x intercept already given to us was x = 4.
The rest of the table is filled out using the same idea. You should get what you see below.
Find the Value of x.