Answer:
[tex]\sf\boxed{ \sf \dfrac{1}{2} \ is \ the\ slope }[/tex]
If lines are parallel or tangent, the slope remains same.
[tex]\sf \large\boxed{\sf m_1 \rightarrow m_2}[/tex]
If lines are perpendicular or normal, the slope becomes negatively inverse
[tex]\sf \large\boxed{\sf m_1 \rightarrow -(\frac{1}{m_2} )}[/tex]
With this Here the line a is perpendicular to line b,
therefore using formula: [tex]\sf \large {-(\dfrac{1}{-2} )} \rightarrow \dfrac{1}{2}[/tex]
For more briefings on parallel and perpendicular lines:
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A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=25000+3000x,f(x)=25000+3000x, where xx is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.
The values of the function are,
f (- 3) = 16,000 meaning a qualifying applicant with - 3 siblings in their household would get $16,000 in financial aid. This interpretation does not make sense in the context of the problem.
f (3) = 34,000 meaning a qualifying applicant with 3 siblings in their household would get $34,000 in financial aid. This interpretation makes sense in the context of the problem.
The domain for this function is x ≥ 0, indicating that the number of siblings must be a non-negative whole number or zero.
Given that,
The function is,
[tex]f (x) = 25000 + 3000x[/tex]
Where x is the number of siblings.
Hence, the values of the function are found as,
[tex]f (x) = 25000 + 3000x[/tex]
Put x = - 3;
[tex]f (- 3) = 25000 + 3000 \times - 3[/tex]
[tex]f (- 3) = 25000 - 9000[/tex]
[tex]f (- 3) = 16,000[/tex]
Put x = 3;
[tex]f (x) = 25000 + 3000x[/tex]
[tex]f (3) = 25000 + 3000 \times 3[/tex]
[tex]f ( 3) = 25000 + 9000[/tex]
[tex]f (3) = 34,000[/tex]
Since the given function is,'
[tex]f (x) = 25000 + 3000x[/tex]
Regarding the domain of the function,
Since the number of siblings (x) must be a non-negative integer, it represents the count of individuals.
Therefore, the appropriate domain for this function would be x ≥ 0, meaning x can be any non-negative whole number or zero.
To learn more about the function visit:
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For the given question some parts of the question are shown in the attached image.
Given that f (x) = 4x – 5 and g(s) = 3x, write a function that represents g (f(x)). Show your
work
Write the equation of the line that passes through the points
(-2, -1) and (2, 4). Put your answer in fully reduced point-
slope form, unless it is a vertical or horizontal line.
Answer:
Step-by-step explanation:
Step 1 : Find the slope/gradient (this is known as "m")
The slope formula is :
[tex]m = \frac{y2 - y1}{x2-x1}[/tex]
*Note that we are given 2 points:
For the first point (-2,-1) , this means x1 = -2 and y1 = -1
For the second point (2,4), this means x2 = 2 and y2 = 4
If we substitute those values into the slope formula you end up with this:
[tex]m = \frac{y2-y2}{x2-x1} = \frac{4 - (-1)}{2 - (-2)} = \frac{4+1}{2+2} =\frac{5}{4}[/tex]
Step 2: Substitute the values into the point-slope formula:
[tex]y - y1 = m(x- x1)[/tex]
Now that we know m = 5/4 , you can substitute this into the above formula and you get:
[tex]y - y1 = m(x- x1)[/tex]
[tex]y - (-1) = \frac{5}{4} (x - (-2)) \\y + 1 = \frac{5}{4} ( x + 2)[/tex]
[tex]y = \frac{5}{4}(x + 2) - 1[/tex]
Complete the following two-column proof that proves the Congruent Supplements Theorem. HELP ME ASAPPPP BRO PLEASE DUED BY TONIGHT. but I missed class or school today so i honestly have no idea what it is. SO PLEASE ANYONE OUT THERE HELP A GIRL OUT FR FR.
Supplementary angles are angles that sum up to 180 degrees
Step 1:
If m<x and m<y are supplementary, hence;
m<x + m<y = 180 ....................1
Step 2:
If m<y is a supplement to m<z, hence:
m<y + m<z = 180 ...........................2
Equating 1 and 2
m<x + m<y = m<y + m<z
Subtract m<y from both sides
m<x + m<y-m<y = m<y + m<z - m<y
m<x = m<z
This proves the statement m<x = m<z
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what is the difference between -4 and 6
Answer:
-10
Step-by-step explanation:
you just subtract -4 by 6 and get -10
Answer:10
Step-by-step explanation: Because -4 is four numbers away from zero, and Then add that to six.
This is a rotation question and I need to know if its correct ! please help
Answer:
R'= (-4, -1) S'=(-2,1) Q'=(0,0)
Step-by-step explanation:
No, you rotated the triangle 90 degrees clockwise, rotate the triangle counter clockwise (Left not right). the coordinates would be
0.000229 into a scientific notation
Answer: -4
Step-by-step explanation: :\
how many 1/4 pound burgers can you make from 3 1/2 ponds of ground beef
Answer:
14
Step-by-step explanation:
If each burger is 1/4 pounds, that means one pound of ground beef makes 4 burgers. There are 3 1/2 pounds, which means 3 pounds makes 12 burgers and 1/2 pounds makes 2 burgers. 12+2=14
how to solve number 16
Answer:
T < -19
Step-by-step explanation:
Matematicas ¡con procedimientos por favor! :( 1. 4(6)-2(8)+4-576 2. 2 3/4+8 3/4 3.(9/4)(6/59(1/2) 2/6 ÷ 6/5 5. Expresa el lenguaje comun 6x - 3 6. Expresa a lenguaje algebraico. "la quinta parte de un numero mas el doble de otro numero diferente. 7. Si con 7 L de gasolina recorro 30 km, con 18 L ¿Cuantos kilometros recorrere? 8. Si con 17 pizzas gigantes comen 90 personas, con 40 pizzas ¿cuantas personas comen?
Answer:
1. -564
2. 11 1/2
3. 45/472
5. 3(2x - 1) = 3(2x) - 3(1)
6. 1/5(x) + 2y
= x/5 + 2y
7) 77.1km
8. 211.8 pizzas
Step-by-step explanation:
1. 4 (6) -2 (8) + 4-576
= 24 - 16 + 4 - 576
= 24 + 4 - 16 - 576
= 28 - 16 - 576
= 28 - 592
= -564
2. 2 3/4 + 8 3/4
Mínimo común múltiplo de los denominadores = 4
2 3/4 + 8 3/4
= (2 + 8) + (3 + 3/4)
= 10 + (6/4)
= 10 + 1 2/4
= 10 +1 1/2
= 11 1/2
3. (9/4) (6/59 (1/2) 2/6 ÷ 6/5
BODMAS
= 9/4 × 6/59 × 1/2 × 2/6 ÷ 6/5
= 9/4 × 6/59 × 1/2 × 2/6 × 5/6
= 45/472
5. Expresar el lenguaje común 6x -3
Factoriza la expresión algebraica
6x - 3 = 3 (2x - 1)
3 (2x - 1) = 3 (2x) - 3 (1)
6. Expresar en lenguaje algebraico. "La quinta parte de un número más el doble de un número diferente.
Sea un número representado por x
Sea un número diferente representado por y
Por lo tanto:
1/5 (x) + 2 años
= x / 5 + 2y
7. Si con 7 L de gasolina recorrí 30 km, con 18 L, ¿cuántos kilómetros?
7 L = 30 km
18 L = x km
Cruz y
7L × x km = 18L × 30km
xkm = 18L × 30km / 7
= 77.142857143km
≈ 77.1 kilometros
8. Si con 17 pizzas gigantes comen 90 personas, con 40 pizzas ¿cuántas personas comen?
17 pizzas gigantes = 90 personas
40 pizzas =
Cruz multiplicar
40 pizzas × 90 personas / 17
= 211.76470588 pizzas
≈ 211.8 pizzas
Asap
The lines below are perpendicular if the slope of the green line is 2/3 what is The slope of the red line
Answer:
-3/2
Step-by-step explanation:
If the slope of a line is a fraction, flip it and change the sign to find the slope of a perpendicular.
-3/2
Determine the difference in area between circle A and circle B
[tex]π \times ({15})^{2} - π \times ({6})^{2} = [/tex]
[tex]π \times ( {15}^{2} - {6}^{2}) = π \times (225 - 36) = \\ [/tex]
[tex]189π[/tex]
Explain because i have to show my work please and thank you
Answer:
D.) [tex]y=19.99x+30[/tex]
Step-by-step explanation:
x represents the hours. The magician charges $19.99 per hour. "Per" means multiplication, so:
[tex]19.99*x[/tex]
[tex]19.99x[/tex]
adding the travel and miscellaneous expense:
[tex]19.99x+30[/tex]
This represents the total charge, represented by y:
[tex]y=19.99x+30[/tex]
:Done
Leo invested $1900 in an account with annually compounded interest. After 3 years, he had $2275 in the account. What was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign.
Answer:
6.2
Step-by-step explanation:
Use the formula for calculating compound interest PN=P0(1+rk)Nk where r is the unknown, PN=2275, P0=1900, k=1, and N=3. Substitute the values into the formula and simplify.
2275=1900(1+r1)3⋅1
Let's simplify within the parenthesis and the exponent.
2275=1900(1+r)3
Divide both sides by 1900.
22751900=(1+r)3
To isolate the variable, take the cube root of each side.
22751900−−−−−√3=1+r
Subtract 1 from each side to get r by itself.
22751900−−−−−√3−1=r
Simplify for an answer of r≈0.062 which is the interest rate 6.2%.
Where is the mistake she made and explain why please help??????????????
The first mistake is that she went from 3x-2 to 3x+2. Everywhere you see "3x+2", change it to "3x-2".
Another mistake is we shouldn't use absolute value in this case. This is because we're dealing with an odd number index. In this case, the index of the root in the original equation is 3. Because there isn't any absolute value, we won't have a plus/minus.
So we should have 3x-2 = 8 for the third to last step. That solves to x = 10/3 as the only solution.
Sam wanted to find three consecutive even numbers that add up to 84. He wrote the equation k + (k + 2) + (k + 4) = 84. What does k reperesent? a) The least of the three even numbers b) The middle even number c) The greatest of the three even numbers d) The average of the three even numbers.
Answer:
I may be wrong here, but I think it's C If not then I have no idea ;-;
Step-by-step explanation:
Give the domain and range of each relation. tell wether the relation is a function. Explain.
Answer:
See below
Step-by-step explanation:
Given relations
Answer to each question below
1..................................
Domain: [0, 4]
Range: [0, 4]
Function? Yes
Explanation: Each input has exactly one output
2..................................
Domain: {8, 9}
Range: {-3, -4, -6, -9}
Function? No
Explanation: Each input has more than one output
3..................................
Domain: {0, 1, 2}
Range: {4, 5, 6, 7, 8}
Function? No
Explanation: Some inputs have more than one output
In WYMLA there are 60 sixth graders. A mind-blowing 42 thinks that Mr. Strader is the coolest teacher in the world. What percentage of the 6th graders are right, Mr. Strader is the coolest teacher in the world? EXPLAIN IN DETAIL how you would solve this problem and give the answer.
Caitlin drew a line 4.3 m long.
How many centimeters long is the line? (1 m = 100 cm)
Enter your answer in the box.
Answer:
430 centimeters
Step-by-step explanation:
Answer:430
Step-by-step explanation:
evaluate -16 + 9 - 5
Answer:
-12
Step-by-step explanation:
add -16 and 9 together to get -7 then add the -5 to get -12
Answer:
-12
Step-by-step explanation:
(PEMDAS)
( -16 + 9 ) - 5 = -12
-7 - 5 = - 12
Hope this helps!
If Q(x) = 6x2 - 1, find Q(-7).
Answer:
[tex] \huge \boxed{Q( - 7) = 293}[/tex]
Step-by-step explanation:
[tex]Q(x) = {6x}^{2} - 1[/tex]
To find Q(-7) , insert the value of x that's - 7 into Q(x). That is for every x in Q(x) , replace it with - 7
We have
[tex]Q( - 7) = 6 ({ - 7})^{2} - 1 \\ = 6(49) - 1 \\ = 294 - 1[/tex]
We have the final answer as
[tex]Q( - 7) = 293[/tex]
Hope this helps you
Twelve of the comic books in Rachel's collection are in mint condition. If 6 of her collection is in mint condition, how
many comic books are in her collection?
Which equation can be used to solve the problem above?
O 12-3-1
0-12-1
O - - 12
on-12-13
PLEASE ANSWER ASAP I WILL MARK BRAINLY IF CORRECT
Answer:
This question makes no sense... It says 12 are in mint condition, then says only 6 are? I'd just say 18? I have no clue what equation to go with though. Sorry.
Step-by-step explanation:
Answer:
"A" is correct.
HELP ASAP PLEASE!!
The graph of part of a linear function is shown below. Which of the following represents the
domain of the function?
answer choices in picture
Answer:
im pretty sure that is choice c
Step-by-step explanation:
Answer:
Choose the correct verb form. Identify the reason for the use of each tense.
1. That's the phone. I WILL ANSWER/AM ANSWERING it.
2. I think he is GOING TO BE/WILL BE happier there.
3.Now that I've got some money I WILL BE BUYING
/AM GOING TO BUY a new PC.
4. WILL YOU WORK/ARE YOU WORKING tomorrow
afternoon?
5 This time next week we ARE TRAVELLING /WILL BE TRAVELLING to Chile.
6. Sorry! I WON'T/AM NOT GOING lie again.
7. He's wearing his T-shirt, shorts and trainers. He
WILL BE PLAYING /IS GOING TO PLAY football.
The heaviest land animal ever recorded (according to the Guinness Book of World Records) was a male African bush elephant. He weighed 13.5 tons measured to the nearest half-ton. How would you find the elephant’s minimum and maximum possible weights?
Answer:
The largest African elephant weighed 13.5 tons (27,000 pounds) The world record holder weighed this much and stood 13ft/4m tall at the shoulder. There are other species of elephants, namely the Asian and the Indian, but they are much smaller than the African. The African elephant is the king among the giants on land. No other land animal comes close to the size of these creatures. It would take 165 full-grown men to make up the same weight as the world's record African elephant. The noise of an elephant digesting its food (when its tummy's growling) can be heard up to 600ft/183m away. Elephants actually have control over their digestive processes because they are able to stop the sounds of digestion when they sense danger. Here are some other cool elephant factoids:
Three more than twice a number is less than negative nineteen. Solve the inequality for the unknown number.
Answer:
-12.5
Step-by-step explanation:
You wanna do it inverse backwards
-19 divided 2 = -9.5
-9.5 minus 3 = -12.5
Diego scored 100 points less than Maria on a game. Maria scored 850 points on the game. Which expression shows the number of points Diego scored?
A. 850+100
B. 850 -100
C. 85+100
D. 85-100
Answer:
B. 850-100
Step-by-step explanation:
Less than means you should take away (subtract). Since Diego scored less than Maria you are taking the number of points Diego got away from Marias points. So it would be 850 take-away 100, or 850-100.
Which distribution is less variable? How do you
know?
This is on my test and I’m pretty stuck on how to answer, thank you for answering if you did:)
What is the value of x in the equation 2.5 (6x - 4) = 10 + 4(1.5 + 0.5x)?
1/3
1/2
2
13
[tex]15x - 10 = 10 + 6 + 2x[/tex]
[tex]15x - 10 = 16 + 2x[/tex]
Plus sides 10
[tex]15x - 10 + 10 = 2x + 16 + 10 \\ [/tex]
[tex]15x = 2x + 26[/tex]
Subtract sides -2x
[tex]15x - 2x = 2x - 2x + 26[/tex]
[tex]13x = 26[/tex]
Divided sides by 13
[tex] \frac{13}{13}x = \frac{26}{13} \\ [/tex]
[tex]x = 2[/tex]
_________________________________
Done.....♥️♥️♥️♥️♥️
Answer:
Um yes what they said :) I got 2 too.
Step-by-step explanation:
PLZ HELP!!
Fill in the blanks to complete the steps for finding the equation of a perpendicular line.
The value of m to be substituted in y – y1 = m(x – x1) is the negative reciprocal of the slope of the given line.
Substitute this in _______________.
Substitute the given _______, (x1, y1), in the point-slope form.
Isolate y by _____________ and ____________ to rewrite the equation in slope-intercept form: y = mx + b.
Answer:
The value of m to be substituted in y – y1 = m(x – x1) is the negative reciprocal of the slope of the given line.
Substitute this in for m.
Substitute the given point, (x1, y1), in the point-slope form.
Isolate y by multiplying out m and subtracting y1 to rewrite the equation in slope-intercept form: y = mx + b.
It should be something like this, hope this helped you!
3 1/2 x 18
A 61 1/2
B 31 1/2
C 54
D 63
Answer:
D 63
Step-by-step explanation:
First convert 3 1/2 to a decimal. Then multiply 3.5 by 18.