Answer:
y = 2x+4
Step-by-step explanation:
From the graph, we can tell that slope is 2 because if we go up 2 units up from (0,4) which is point Q and then go right 1 unit, the slope is 2. The y intercept is (0,4)
y = mx + b
m --> slope
b --> y-intercept
y = 2x+4
A recipe for salad dressing calls for 4 parts oil for every 3 parts vinegar.How much oil should you use to make a total of 28 teaspoons of dressing
Answer:
16 teaspoons
Step-by-step explanation:
4x4= 16 teaspoons
The amounts of oil and vinegar combined to make the salad dressing are
in a constant definite proportion.
The quantity of oil required to make 28 teaspoons of dressing is 16
teaspoons.
Reasons:
According to the question, 4 parts of oil are added to every 3 parts of
vinegar.
Therefore;
The ratio or proportion of oil to vinegar in the salad dressing is 4 : 3
4 : 3 = [tex]\dfrac{4}{3}[/tex]
The proportion of oil to vinegar is therefore;
[tex]\mathrm{Amount \ of \ oil = \mathbf{\dfrac{4}{3} \times \ Amount \ of \ vinegar}}[/tex]
Which gives;
[tex]\mathrm{Amount \ of \ vinegar= \dfrac{3}{4} \times \ Amount \ of \ oil}[/tex]
Let x represent the amount of oil required to make 28 teaspoons of dressing,
we have;
[tex]\mathrm{Amount \ of \ vinegar \ required = \dfrac{3}{4} \times x}[/tex]
Which gives;
[tex]\mathrm{x + \dfrac{3}{4} \times x = 28}[/tex]
[tex]\mathrm{x + \dfrac{3}{4} \times x = \dfrac{7}{4} \times x = 28}[/tex]
Therefore;
[tex]x = \dfrac{4}{7} \times 28 = \dfrac{4}{7} \times 7 \times 4 = 4 \times 4 = 16[/tex]
The amount of oil required to make 28 teaspoons of dressing, x = 16 teaspoons.
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https://brainly.com/question/20320243
I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!
Answer:
[tex](f\circ g)(4)=31[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
For practical purposes, it can be found by substituting g into f.
We have:
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
Computing the composite function:
[tex](f\circ g)(x)=f(g(x))=3(x^2-6)+1[/tex]
Operating:
[tex](f\circ g)(x)=3x^2-18+1[/tex]
Operating:
[tex](f\circ g)(x)=3x^2-17[/tex]
Now evaluate for x=4
[tex](f\circ g)(4)=3(4)^2-17=48-17[/tex]
[tex]\boxed{(f\circ g)(4)=31}[/tex]
The height of an Egyptian pyramid is 146.5 meters and its base is 230.38 meters. Find the slope of the face of a pyramid.
Answer:
[tex]Slope = 1.57[/tex]
Step-by-step explanation:
Given
[tex]Height = 230.38\ m[/tex]
[tex]Base = 146.5\ m[/tex]
Required
Determine the slope
Slope is calculated as thus:
[tex]Slope = Rise/Run[/tex]
In this case:
[tex]Rise = Height = 230.38 m[/tex]
[tex]Run = Base = 146.5 m[/tex]
So, we have:
[tex]Slope = 230.38 / 146.5[/tex]
[tex]Slope = 1.57[/tex] (approximated)
I weigh 180 pounds how much is that in kilograms .
Answer:
81.72 kg
Step-by-step explanation:
1 pound = 0.454 kg
180 pound = 0.454 × 180
= 81.72 kg
Answer:
81.6466 kilograms
Step-by-step explanation:
To convert pounds to kilograms divide the mass value by 2.205
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Please solve for x. Someone helppppp
Answer:
36
Step-by-step explanation:
MPA is a right angle 90 + (1/2x +15) + (2x-50) = 180
- 90 -90
(1/2x + 15) + (2x - 50) = 90
- 15 -50 -65
1/2x + 2x = 90
2&1/2x (2.5) = 90
/2.5 /2.5
x = 36
find the prime factorization of 30,031
Answer:
30,031 is not a prime, is a composite number. Integer prime factorization, as a product of prime factors: 30,031 = 59 x 509.
Step-by-step explanation:
Let's learn by having an example, take number 220 and build its prime factorization.
0) We need the list of the first prime numbers, ordered from 2 up to, let's say, 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Prime numbers are the building blocks of the composite numbers' prime factorization process.
1) Start by dividing 220 by the first prime number in our list, 2 (start with the smallest prime number). We could have skipped the division by 2 if our number were an odd number, ie. 221.
220 ÷ 2 = 110; remainder = 0 => 220 is divisible by 2 (2 | 220) => 2 is a prime factor of 220. => 220 = 2 × 110.
2) Divide the result of the previous operation, 110, by 2, again:
110 ÷ 2 = 55; remainder = 0 => 110 is divisible by 2 (2 | 110) => 2 is once again a prime factor of 220 => 220 = 2 × 2 × 55.
3) Divide the result of the previous operation, 55, by 2, again:
55 ÷ 2 = 27 + 1; remainder = 1 => 55 is not divisible by 2.
4) Move on, divide 55 by the next prime number, 3 (notice that the sum of digits of 55 is 5 + 5 = 10 is not divisible by 3, so 55 is not divisible by 3):
55 ÷ 3 = 18 + 1; remainder = 1 => as we already said, 55 is not divisible by 3.
5) Divide 55 by the next prime number, 5:
55 ÷ 5 = 11; remainder = 0 => 55 is divisible by 5 (5 | 55) => 5 is yet another prime factor of 220 => 220 = 2 × 2 × 5 × 11.
6) Notice that the remaining number, 11, is also a prime number, so we've got already all the prime factors of 220.
7) Conclusion, 220 prime factorization: 220 = 2 × 2 × 5 × 11.
This can be written in a condensed form, in the exponent notation: 220 = 22 × 5 × 11.
evaluate the expression if a=-2 and b = 5
If , a = (-2) and b = 5
Then :-
[tex] = \frac{8 \times 5 - 6 \times ( - 5)}{13} [/tex]
[tex] = \frac{40 - ( - 30)}{13} [/tex]
[tex] = \frac{70}{13} [/tex]
[tex] = 5.384615[/tex]
[tex]∴ \: \frac{8 \times 5 - 6 \times ( - 5)}{13} = 5.384615[/tex]
Which function has the domain x>-11?
Answer:
1
Step-by-step explanation:
-11 + 11 =0
0+1= 1
So it would be 1>-11
Answer:
A
y = [tex]\sqrt{x+11}[/tex] + 5
Step-by-step explanation:
For edge
Which number is positive?
-87
-20
9
-6
Answer:
9 that is the answer.....
Answer:
the answer is 9
Step-by-step explanation:
the rest are negative numbers
What is the unit rate of the oranges if I purchased 10 oranges for $2.50
Answer:
.25 per orange
Step-by-step explanation:
2.5/10=.25
I need to find the value of y
Answer:
x = 98
y = 126
Step-by-step explanation:
If you match triangle abc to triangle cde, you will match where x and y is.
168 ÷ 12 = 14
Now you multiply 14 by the other side lengths
9 • 14 = 126
7 • 14 = 98
It is similar to a dilation.
mark the statements that are true
Please help this is urgent and it's due today.
what is the simplified radical of square root of 392?
Answer:
14 √2
Step-by-step explanation:
Given expression:
√392
Simplified radical = ?
Solution:
392 = 8 x 49
= √8 x 49
= 7√8
= 7√4 x 2
= 7 x 2√2
= 14 √2
Josh ran 33 miles this week.if he ran the same distance each day for 4 days,what distance did he run each day
Look at the figure.
Which shows a reflection of this figure across the y-axis?
A. Figure A
B. Figure B
C. Figure C
D. Figure D
plz help !! ty very much!!
Answer:
EZ PZ A
Step-by-step explanation:
Since the 3 in in the thousands Place, Just multiply 3,000 by 100, and you get 300,000. Then just find the one that has a 3 in the one hundred thousands place which would be A.
change 3/5 into decimal
Answer: 0.6
Step-by-step explanation: 3 divided by 5 is the same thing as 30/5 which equals 6. Just move the decimal place one to the left to get 0.6.
Hope this helps! :)
Answer: 0.6
Step-by-step explanation:
Divide 3 by 5, and you end up with the decimal 0.6
How many hours are in 45 days
Answer:
Step-by-step explanation:
1,080 hours just multiply 24 and 45
can some please help me
Answer:
i think it is D
2. A New Jersey-based statistics professor has collected data over several years concerning the duration of her morning commute to her university. A brief inspection of the data reveals that her commuting times are (roughly) normally distributed with a mean of 75 minutes and standard deviation of 15 minutes. If she leaves her home at 9:00 a.m. to attend a faculty meeting commencing at 10:30 a.m., what is the probability she will be late for the meeting?
Simplify:
-2x-2x(5-4x)+3x(4-3x)
Answer:
−x⋅(17x−24)
Step-by-step explanation:
(-2x - (2x • (5 - 4x))) + 3x • (4 - 3x)
(-2x - 2x • (5 - 4x)) + 3x • (4 - 3x)
24x - 17x2 = -x • (17x - 24)
if 2 ppl went up a 35in long ladder and someone went up a 12ft long ladder who is up higher?
Answer:
So, 1ft=12 in for 12 ft would=144in and 144in>35in and whoever is higher depends on where they started at, if the 35in guy was 55ft up already and the other 12ft guy was like 2ft under ground then yk the 35ft guy would be higher and also if they started at the same length then the 144in(12ft) guy is the winner he is the highest lol.
Step-by-step explanation:
Answer:HMMMMMMMM LET ME THINK THE PERSON WHO WENT 12 FEET
Step-by-step explanation:
What is the domain of g
Answer:
All real values of 'x'. i.e., the answer to the question is 'E'
What word phrase can you used to represent 5X +2
Answer: A number times 5 plus 2
Step-by-step explanation:
32 lbs of bananas cost $160. How many lbs of bananas can
you get with $225?
Answer:only 32lbs because 160 times 2 is 320 and you only have 225 dollars.
Step-by-step explanation:math
Answer:
45lbs
Step-by-step explanation:
160/32=$5 Per lb of bananas
225/5=45lbs
what are the possible rational zeros of f(x)=2x^3-15x^2+9x+22
Answer:
f'(x)=6×^2=30x+9
Step-by-step explanation:
take the derivative of both sides
use differentiation rule
calculate the derivative
simplify the expression
Which equation is equivalent to the equation 6x+9=12?
Answer:
x=1/2
Step-by-step explanation:
(5x+2) - (7x-8) simplify the following
Answer:
-2x + 10
Step-by-step explanation:
Step 1: Write expression
(5x + 2) - (7x - 8)
Step 2: Distribute negative
5x + 2 - 7x + 8
Step 3: Combine like terms
-2x + 10
Answer:
-2x+10
Step-by-step explanation:
All you have to do is combine like terms.
− 2 3 y − 3 5 x + 2 9 − 4 5 x + 1 3 y Let x = 5 and y = 3. − 2 3 (3) − 3 5 (5) + 2 9 − 4 5 (5) + 1 3 (3) = −2 − 3 + 2 9 − 4 + 1 = −77 9 Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y
Answer:
c
Step-by-step explanation:
Answer:
yo
Step-by-step explanation:
its C
trust me
i did edge