Answer:
the solutions are (1,-3) and (4,-6)
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
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]
کرا
1
A ball is rolling on a flat surface. It is slowing down until it comes to a stop which graph model this situation
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.
To learn more about Reflection on:
https://brainly.com/question/15487308
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Anita and Brad are each riding on the same bicycle path. Anita began riding at the start of the park and is riding at a rate of 18 miles per hour. Brad began from a spot 10 minutes ahead of her and us riding at a rate of 13 miles per hour. Part A write a system of equations to represent x, the number of hours it takes Anita and abroad to travel y miles along the path. Part B after how many hours do Anita and Brad meet on the path
Answer:
Part A
The system of equations are;
x = y/18
x + 1/6 = y/13
Part B
13/30 hours
Step-by-step explanation:
The path on which Anita is riding = The path on which Brad is riding
The point at which Anita starts riding = The start of the park
The rate at which Anita is riding = 18 miles per hour
The time at which Bras began = 10 minutes ahead of Anita
The rate at which Brad is riding = 13 miles per hour
Part A
Let 'x' represent the number of hours it takes Anita and Brad to travel 'y' miles along the path, we have;
The 'x' number of hours it takes Anita to travel 'y' miles is given as follows;
x = y/18
For Brad, we have;
10 minutes = 1/6 of an hour
The 'x'' number of hours it takes Brad to travel 'y' miles is given as follows;
x' = y/13
The duration Brad has traveled, when Anita has traveled for 'x'' hours = x + 1/6 hour
x' = x + 1/6
∴ x + 1/6 = y/13
Part B
Therefore, to travel the same 'y' mile as Anita , we have;
x + 1/6 = y/13
y = 13 × (x + 1/6) = 13·x + 13/6
y = 13·x + 13/6
For Anita, we had; x = y/18
∴ y = x × 18 = 18·x
Equating both y-values gives;
y = y
∴ 13·x + 13/6 = 18·x
18·x - 13·x = 5·x = 13/6
x = 13/(5 × 6) = 13/30 hours
The number of hours it will take Anita and Brad to meet on the path = 13/30 hours (equivalent to 13/30 hour × 60 minutes/hour = 26 minutes)
a * b = 3a - 2b
2*(6*4)=
working please!!!
Answer:
A = 4
B = 2
2* (6 * 4) = 48
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Solve for a
3x - 2 = 4x + 5
Answer:
X = -7
Step-by-step explanation:
Hey do any of you guys know the answer to this? I’m struggling and I need help. Thanks!
Answer and Step-by-step explanation:
1.
We are told to give the transformations needed to map the triangle ABC onto the triangle XYZ.
First off, we should move the triangle to the right. We need to have point B of triangle ABC to overlap point Y of triangle XYZ.
Once that is done, we need to do a dilation by scale 1.5. This would perfectly align triangle ABC onto triangle XYZ.
2.
To find the length of XZ, we need to find the dilation factor. Since we know that the triangles are similar, we can divide the bigger side by the little side (though only the sides that correspond).
We will divide side CB by ZY to get the dilation scale factor.
6 divided by 4 equals 1.5.
Now, to find the length, we will divide side CA by 1.5.
21 divided by 1.5 equals 14.
The length of ZY is 14.
#teamtrees #PAW (Plant And Water)
Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan for 5 years, how much interest will she pay?
Answer:
$2400
Step-by-step explanation:
Given data
Principal= $6000
Rate= 8%
Simple interest= ???
Time= 5 years
The expression for the simple interest is
Simple interest= PRT/100
Simple interest= 6000*8*5/100
Simple interest= 240000/100
Simple interest= $2400
Hence the simple interest after 5 years is $2400
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
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:
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
1.x3 + 2x
Name the polynomial by number of terms. select the correct response
4 term polynomial
monomial
binomial
trinomial
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.
Learn more about the standard deviation here:
brainly.com/question/12402189
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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:
PLZ HELP ME!! THE PICTURE IS BELOW!! NO LINKS!!!
Find the value for x to the nearest tenth.
Select one:
A. 6.4
B. 5.2
C. 5.8
D. 4.5
==========================================================
Explanation:
Refer to the diagram below. I've added the points A, B, C, D, and E. Point A is the center of the circle while points B, C and D are along the circle's edge. The radius AC and chord BD intersect at point E.
Recall that whenever we have a radius perpendicular to a chord like this, it means that the radius bisects the chord. So that means chord BD is cut into two equal pieces BE and ED. The diagram given to you tells us that ED = x, so BE is also x units long as well. Overall, BD = BE+ED = x+x = 2x units.
Since BE = ED, the arcs formed are congruent as well. Minor arc BC is the same measure as minor arc CD. Both are 45 degrees. They combine to 90 degrees. In turn, this leads to central angle DAB to be 90 degrees.
Note how triangle DAB is an isosceles right triangle. The two equal legs are the two radii AB and AD, both which are 9 units long. The hypotenuse BD is equal to sqrt(2) times the leg length, so BD = 9*sqrt(2) units long.
Earlier I mentioned that BD = 2x also. We'll equate the two right hand side expressions and solve for x like so:
2x = 9*sqrt(2)
x = (9*sqrt(2))/2
x = (9/2)*sqrt(2)
x = 4.5*sqrt(2)
x = 6.36396103067892
That value is approximate. Rounding to the nearest tenth leads to the final answer of 6.4; therefore, the answer is choice A.
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
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.
Find the median number: 10,7,4,12,11,5,8,13,11
Answer:
10 median number
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
So, the median is the middle number, so first we have to arrange our numbers in order:
4, 5, 7, 8, 10, 11, 11, 12, 13
Now, as you can see, the middle number is 10
So the median of the set is 10
hope this helps:)
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
Help me and show work plz <3
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].
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
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]
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=2x-5
Step-by-step explanation:
i took algebra
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 :
(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.
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]