Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .
Type of Slope: Visual Description
Undefined: vertical
Negative: downhill
Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
8
7
6
5
1
543 2
1 2 3 4
5
A. The function shown on the graph has a greater rate of change, but
a lower starting point.
B. The function shown on the graph has a greater rate of change and
a higher starting point.
C. The function shown on the graph has a smaller rate of change, but
a higher starting point.
The given highest power of x in the given function, y = 4·x + 2, is 1,
therefore, the graph of the function is a straight line.
The statement that correctly compares the function shown on the graph
with the function; y = 4·x + 2 is; C. The function shown on the graph has a
smaller rate of change but a higher starting point.
Reasons:
The given function is; y = 4·x + 2
Comparing with the equation for a straight line; y = m·x + c, we have;
The rate of change or slope, m = 4
The y-intercept, starting point, c = 2
Two points on the function shown on the graph are; (0, 4), and (-2, -2)
The slope of the given graph is therefore;
[tex]m = \dfrac{4 - (-2)}{0 - (-2) } = \dfrac{6}{2} = 3[/tex]
The rate of change of the graph, m = 3
The equation of the graph is therefore;
y - 4 = 3·(x - 0)
Which gives;
y = 3·x + 4
The y-intercept, starting point of the graph, is therefore, c = 4
Which gives;
The function shown on the graph has a higher starting point but a smaller rate of change than the given function.
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The ratio of the interior angles of a triangle is 4:5:7. What are the angle measures?
Answer:
45:56.25:78.75
Step-by-step explanation:
a triangle=180º total
4+5+7=16
180÷16=11.25
The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The ratio of the interior angles of a triangle = 4 : 5 : 7
Now,
Find the interior angles of a triangle as;
Since, The ratio of the interior angles of a triangle = 4 : 5 : 7
Hence, First angle = 4x
Second angle = 5x
Third angle = 7x
Since, The sum of all the angles in a triangle = 180°
So, We can formulate;
⇒ 4x + 5x + 7x = 180
⇒ 16x = 180
⇒ x = 180/16
⇒ x = 11.25
Thus, First angle = 4x
= 4 × 11.25
= 45°
Second angle = 5x
= 5 × 11.25
= 56.25°
Third angle = 7x
= 7 × 11.25
= 78.25°
Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
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answer my sister need help
Answer:
1. B 1/3
2. C 12
1) 1/3
2) 12
ur welcome:)
Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria? (graph in photo)
no, the frequencies do not increase from the low frequency to a maximum frequency.
no, the distribution is not symmetric.
yes, all the requirements are met.
Answer: I think its C, yes, all the requirements are met.
Step-by-step explanation: I might be wrong, so check to make sure
Yes, all the requirements are met.
The correct option is (C)
What is normal distribution?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
A graph or table that displays the frequency of various outcomes is called a frequency distribution.
The bell-shaped normal distribution is the norm.
As, the frequency value is lower for scores 5.5000 to 5.5499,
and then it increases 5.5500- 5.7499, then decreases for scores 5.7500-5.7999.
So, the frequency distribution curve looks bell-shaped when plotted.
hence, it follow a normal distribution.
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What is the first term of the quotient of the following division problem?
(x^3-1) ÷ (x+2)
•-0.5
•1
•x^2
•x^4
Answer:
x²
Step-by-step explanation:
x³ - 1 ÷ x + 2
the first term of the quotient is x³ ÷ x = x²
Round to the nearest tenth
2.642 to the nearest tenth
29.10 to the nearest tenth
2,492 to the nearest tenth
3.44 to the nearest tenth
5,239 to the nearest tenth
89.43 to the nearest tenth
Round to the nearest hundredth
23.987 to the nearest hundredth
3,7096 to the nearest hundredth
4,449 to the nearest hundredth
44.043 to the nearest hundredth
999.474 to the nearest hundredth
7.44430 to the nearest hundredth
Answer:
1. 2.6
2. 29.1
3. 2490
4 3.4
Step-by-step explanation:
The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How old is the fossil?
A) 5730 years
B) 57 years
C) 5728 years
D) 572 years
Answer:
The answer is A.
Step-by-step explanation:
Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.
Hope this helps!
Tan^2 0+Tan^2 30+Tan^2 60+Sin^2 0
Answer:
2.996519411885697
Step-by-step explanation:
[tex] \tan(20) + \tan(230) + \tan(260) + \sin(20) = 2.996519411885697[/tex]
mark me brainliest
carol's father was 24 years old when carol was born, now he is 4 times as old a carol how old is carol
Answer:
24 - 24 = 0 (carols age past tense)
24 x 4 = 96
96 - 24 = 72 (present tense)
carol is now 72 yr
which number is bigger 5.72 or 4.75?
Answer:
5.72
Step-by-step explanation:
Answer:
5.72 is bigger then 4.75
Step-by-step explanation:
Instructions: Evaluate f(x) = 2x + 5 for the following and enter
your answer in the space provided. Do not include any spaces in
your answer.
f(-1) =
f(2)=
f(0) =
f(z)=
Answer:
f(1) = 3
f(2) = 9
f(0) = 5
f(z) =2z + 5
Step-by-step explanation:
f(x) = 2x +5 let x = -1; 2, 0, z and simplify if you can.
f(-1) = 2(-1) +5 ; -2 +5
f(2) = 2(2) + 5; 4 + 5
f(0) = 2(0) + 5; 0 + 5
f(z) = 2z +5; 2z + 5
help on this question.....
Answer:
25
Step-by-step explanation:
17 / 0.68 = 25
check your answer?
25 * 0.68 = 17
:)
Answer:
the answer is 26
Step-by-step explanation:
Two way tables!! Help!!!!
( only the bottom one )
Answer:
The answer is photo.
Step-by-step explanation:
So:
167 - 66 = 101
So the total of Spain is 101
Now what is Marc’s value for Spain?
33 + 40 = 73
101 - 73 = 28
Marc’s value is 28.
Elli’s value for Portugal is unknown. We know Elli’s total is 57 and her value for Spain is 40. So: 57 - 40 = 17.
Elli’s value for Portugal is 17.
Now what is Marc’s total?
We know Spain is 28 and Portugal is 24. So add them:
28 + 24 = 52
Marc’s total is 52.
Now, what is Raisa’s total. We everyone else’s total and we know it all adds up to 167 so:
57 + 52 = 109
167 - 109 = 58
Raisa’s total is 58.
What is her Portugal value?
58 - 33 = 25
Her Portugal value is 25.
I will give Brainliest to the first person
Answer:
x^3
Step-by-step explanation:
[tex]\sf -8(6x+3)[/tex]
_________
[tex] \: [/tex]
-8(6x + 3) = ...
= (-8 × 6)x + (-8 × 3)
= -48x - 24✔
Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below.
Combine like terms: –10.9p + 3.9 = –9.18
Apply the next steps to solve the equation. What is the solution?
p =
Answer:
I think its um 1.2 im sorry if im wrong
Step-by-step explanation:
Answer:
−10.9
Step-by-step explanation:
−4.6p−6.3p+3.9
Combine −4.6p and −6.3p to get −10.9p.
dp/d (−10.9p+3.9)
−10.9p ^1−1
so it is −10.9
I need to factor this problem PLEASE HELP ASAP
Answer:
[tex] - 3x(x - 3)^{2} [/tex]
Step-by-step explanation:
[tex] - 3x^{3} + 18x - 27x[/tex]
->
[tex] - 3x( {x}^{2} - 6x + 9)[/tex]
->
[tex] - 3x(x - 3)^{2} [/tex]
If a person walks 16 mile in 10 minutes, how far will that person walk in one hour?
Answer: 96 miles
Step-by-step explanation:
One hour directly correlates to 60 minutes. For this problem, simply find the "unit price" per mile, by dividing 16 by 10 to get 1.6. Then, simply multiply 1.6 by 60 to get 96.
Hope it helps :) and let me know if you want me to elaborate.
Answer for points I’ll thank it
Answer:
What is the question?
Step-by-step explanation:
Edward buys a bicycle online for 254.75$ if shipping and handling are an additional 24% of the price how much shipping and handiling will Edward pay
Answer:
315.89
Step-by-step explanation
The price of the shirt on sale is 80% of the original price. If the original price was 35$, what is the price of the shirt on sale
Step-by-step explanation:
28 dollars is the answer
Raquel y Beatriz van a montar a caballo Raquel lo hace cada 3 días y Beatriz cada 4 días. Si coinciden el 24 de febrero
Si el año es ordinario, entonces Raquel y Beatriz se encontrarán el 8 de febrero, más si el año es bisiesto, entonces se encontrarán el 7 de febrero.
El período de coincidencia es el tiempo que pasa entre dos fechas en las que Raquel y Beatriz coinciden y queda determinado por el mínimo común múltiplo de los tiempos de frecuencia de cada una. En este caso, el período de coincidencia corresponde a 12 días.
Si tenemos que coincidieron el 24 de febrero, debemos considerar dos posibilidades: (i) Año ordinario, (ii) Año bisiesto.
Si el año es ordinario, entonces Raquel y Beatriz se encontrarán el 8 de febrero, más si el año es bisiesto, entonces se encontrarán el 7 de febrero.
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Nota - El enunciado se encuentra incompleto, la forma completa se describe a continuación:
Raquel y Beatriz van a montar a caballo. Raquel lo hace cada 3 días y Beatriz cada 4 días. Si coinciden el 24 de febrero, ¿cuando volverán a coincidir?
Pls help! I need this for a test tomorrow
Answer:
I didn't know if you wanted to get the answer
Please help me solve this
no noeeeeeeeeeeeeeeeeed
Solve for x please
A)-8
B)-9
C)8
D9
Answer:
My answer is -9.becasiug
(25 points) Ratio question
If you mix blue and yellow paint in different ratios, you will get different shades of
green paint. If the ratios are equivalent, the shades of green will be the same.
- Clare mixed a batch of green paint using 8 cups of yellow paint and 5 cups of blue paint. Jada mixed another batch of green paint using 6 cups of yell paint and 4 cups of blue paint.
Are these two batches the same shade of green?
Yes
or
No
Answer:
No
Step-by-step explanation:
Answer:
No, it will not be the same shade of green.
Step-by-step explanation:
For the shade of green to be equivalent that person would need both of the proportions to be equal weather it is 6/4 and 12/8 or 8/5 16/10.
The ratios 8/5 and 6/4 do not match therefore the green the batches make will not be equal.
I hope this helps :D
If two acute angles of a right angled triangle are in the ratio 1:2, Find them.
Answer:
30°,60°,90°
Step-by-step explanation:
Let :-
Ratio = 1x : 2xAs we know :-
Sum of all angles = 180°So that ,
x + 2x + 90 = 180 3x = 90 x = 90/3 x = 30Angles ,
90° x = 30° 2x = 60°Answer:
Let the angles be x and 2x.
We know that the sum of all interior angles of a triangle is 180°.
Therefore,
x+2x+90 = 1803x+90 = 1803x = 180-90x = 90/3x = 30Angles,
90°x = 30°2x = 2×30 = 60°28-(3x+4)=2(x+6)+x How would you solve this??? Please add step by step explanation
Answer:
x = 2
Step-by-step explanation:
Which of the following statements is true in its conditional and converse forms?
If K is between points J and L, then K is a midpoint.
If a polygon has 3 sides, then the sum of its interior angles is 180°.
If two angles are right angles, then they are congruent.
If B is the midpoint of AC¯¯¯¯¯¯¯¯, then AB = BC.
The converse statement involves switching the hypothesis and the conclusion of a conditional statement.
The correct statement is (d) If B is the midpoint of AC, then AB = BC.
The converse of the given conditional statements are:
If K is a midpoint, then K is between points J and LIf the sum of interior angles is 180°, then the polygon has 3 sidesIf two angles are congruent, then they are right anglesIf AB = BC, then B is the midpoint of ACFrom the above statements, (a), (b) and (c) are not the same as the conditional statement, because:
Point K does not have to be between points J and L to be a midpoint.The sum of interior angles of all polygons (whether it has 3 sides or more) is 180 degreesCongruent angles may not be right anglesFor option (d):
For B to be a midpoint of AC, it means that sides AB and BC are congruent.
Hence, the correct statement is (d)
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Profit and loss. Help plz
Answer:
351 minus 316 I think
Step-by-step explanation:
okay so you will do 351 minus 316 and ur answer is 35 so her profit is 35 dollars also known as 35$ I hope this helped!!