a = 17
b = 18
c = 19
Step-by-step explanation:Hi there !
a + b + c = 54
b = a + 1
c = a + 2
replace b ; c
a + (a + 1) + (a + 2) = 54
3a = 54 - 3
3a = 51
a = 51 : 3
a = 17
b = 18
c = 19
Good luck !
If g(x) = 2x2 - 4, find g(-2)
Answer:
2(-2)2=0
Step-by-step explanation:
if you meant to put it a different way tell me and i can do the correct one, just because this one seems weird lol
The value of the function when x = -2 then g(-2) = 4.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can be represented by mathematical symbol.
WE have been given an function as g(x) = 2x² - 4
Now plug the value x = -2 in the given function;
g(-2) = 2(-2)² - 4
g(-2) = 2 x 4 - 4
g(-2) = 8 - 4
g(-2) = 4
Therefore, the value of the function when x = -2 then g(-2) = 4.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
The temperature of a heated swimming pool varies from 78 degrees F by no more than 2 degrees F" Name the least and greatest possible temperatures of the pool. Then write a compound inequality to represent all of the pool's possible temperatures.
Answer:
1 degrees and 60 degrees
Step-by-step explanation:
CAN SOMEBODY PLEASE HELP ME WITH THIS QUESTION!!!!
Answer:
nope sorryyyyyy
Step-by-step explanation:
Write a function that models the following description: A man drove a total of 40 miles over a 2-hour period. (1 point)
Answer:
The function is Speed, f(t) = x/t
Step-by-step explanation:
The given information are;
The distance the man drove = 40 miles
The duration of time the man drove = 2-hours
Given that a function maps each item of the input domain to a single item of the output domain, we can have the following relation for the above parameters;
Speed = (Distance travelled)/(Time taken)
Where, speed f(t), is a function of the time taken, t, to travel a distance x
The function is therefore;
Speed, s = f(t) = x/t
Speed = 40/2 = 20 mile per hour.
Answer:
The function is Speed, f(t) = x/t
Step-by-step explanation:
its late but i hope it helps
To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 35 and the angle of elevation to the top is 38 , what is the height of the stone face?
Answer:
75feet
Step-by-step explanation:
To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 35 and the angle of elevation to the top is 38 , what is the height of the stone face?
Iet us say we have two right triangles. With a base of 700. The first has angle of 35o and the other has an angle of 38degree
Then we need the Height
From trigonometry
Tan = opposite/adjacent.
In this case the adjacent is 800
Tan 35 = 0.7002
Tan 38 = 0.781
pick the one with the greatest value.
21
|-23|
|-32|
-32
Answer:
32
Step-by-step explanation:
Absolute value of |-32| = 32
Answer: |-32|
Step-by-step explanation:
13. A discount retail store gives a 8% discount
to senior citizens. If a customer who is a senior
citizen wants to purchase an item that costs
$34.50, what is the final cost after the discount
is applied?
Answer:
the final cost is $31.74
A positive number exceeds four times its reciprocal by 3.
Find the number.
Answer:
the same
Step-by-step explanation:
because the binomial and trinomial is the same
The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution to the system?
how many centimeters are there in 5 feet
Answer:
152.4 centimeters
Step-by-step explanation:
Write the equation of the line in slope-intercept form that has : slope: 3 and point : (1,0)
Answer: y=3x-3
Step-by-step explanation: First plot your point then use the slope to plot another one and get a line. then use slope-intercept formula y=mx+b. M= slope which is 3 and B= the y-intercept.
Answer:
y=3x-3
Step-by-step explanation:
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in. In what range would you expect to find the middle 50% of most head breadths? Between and . If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample? Between and . Enter your answers as numbers. Your answers should be accurate to 2 decimal places.
Complete Question
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in.If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample
Answer:
The range is from [tex] \=x_1 = 6.312 [/tex] to [tex] \=x_2 = 6.488 [/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 6.4 \ in[/tex]
The standard deviation [tex]\sigma = 0.9 \ in[/tex]
The sample size is n = 47
Generally the standard error is mathematically represented as
[tex]\sigma_{\= x} = \frac{0.9}{\sqrt{47} }[/tex]
=> [tex]\sigma_{\= x} = 0.13128 [/tex]
Generally the proportion where the middle 50% of most average for the breaths of male heads in the sample is mathematically evaluated as
[tex]P(\= x_1 < \= X < \= x_2 ) = P(\frac{\=x_1 - \mu }{\sigma_{\= x} } < \frac{\= X - \mu }{\sigma_{\= x} } < \frac{\=x_2 - \mu }{\sigma_{\= x} } ) = 0.5[/tex]
Generally [tex]\frac{\= X - \mu }{\sigma_{\= x} } = Z(The \ standardized \ value \ of \ \= X )[/tex]
So
[tex]P(\= x_1 < \= X < \= x_2 ) = P(\frac{\=x_1 - 6.4}{ 0.13128 } <Z < \frac{\=x_2 - 6.4 }{0.13128} ) = 0.5[/tex]
From the z table the z-score of 0.5 is
[tex]z-score = \pm 0.674[/tex]
So
[tex]\frac{\=x_1 - 6.4}{ 0.13128 } = -0.674[/tex]
[tex] \=x_1 = 6.312 [/tex]
and
[tex]\frac{\=x_2 - 6.4}{ 0.13128 } = 0.674[/tex]
[tex] \=x_2 = 6.488 [/tex]
Solve for x.
50x + 54 = 34x + 46
Answer:
x = -1/2
Step-by-step explanation:
50x + 54 = 34x + 46
Subtract 34x from each side
50x-34x + 54 = 34x-34x + 46
16x +54 = 46
Subtract 54 from each side
16x+54-54 = 46-54
16x = -8
Divide by 16
16x/16 = -8/16
x = -1/2
Answer:
[tex]x=-\frac{1}{2}[/tex]
Step-by-step explanation:
So we are given an equation and we are asked to solve for x.
50x + 54 = 34x + 46
Subtract 54 from both sides.
50x = 34x - 8
Subtract 34x from both sides.
16x = -8
Divide both sides by 16.
[tex]x=-\frac{1}{2}[/tex]
So now we have solved for x. We have found that [tex]x=-\frac{1}{2}[/tex].
I hope you find my answer and explanation to be helpful. Happy studying.
PLEASSEEE HELP MEEEEE
Answer:
47°
Step-by-step explanation:
a staight angle equals 180 degrees
180=6x+29+3x+124
x=3
18+29=boc
boc=47
btw, if u know how to do my question could u plz help
thx
Answer: angle BOC is 47°
Step-by-step explanation:
Supplementary angles add to 180°
6x + 29 + 3x + 124 = 180
6x + 3x + 29 + 124 = 180
9x + 153 = 180
9x = 180 -153
9x = 27
x = 3
Substitute 3 for x in ∠BOC = 6x +29
6(3) + 29 = ∠BOC
18 + 29
47° =m∠BOC
MAX POINTS!! PLEASE HELP WITHIN 2 DAYS Using the three indicated points on the given line and the concept of similar triangles, show and explain why the slope of the line is the same between any two of these three points. Calculate the slope of the line.
Answer:
The reason is because there is a constant rate of change. notice how the rise over run stay the same even though they dont fall on the exact point's.
Use rise over run to find the first part of your answer, then use the slope formula to find out the rest. the slope formula is m = rise over run.
Step-by-step explanation:
where m= slope, and rise over run will help you find the slope.
YYYYYYYYYYYYYYYYYYYYYYYYYYYY HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
6.723=6.7, 6.538=6.5, 6.647=6.6, 6.49=6.5, 6.687=6.7, 6.56=6.6
Step-by-step explanation:
This should be correct
Answer:
Step-by-step explanation:
Here's the general rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Solve for the letter A. ab+d=c
Answer:
a=c/b-d/b
Step-by-step explanation:
Answer:
a=c-d/b
Step-by-step explanation:
We first need to isolate the variable "a" by doing the opposite operation.
1. subtract "d" on both sides
After step 1- ab=c-d
2. divide both sides by "b" because that is the only way to isolate a permanently
After step 2- a=c-d/b
Translate “58 is less than a number less than 126” into math symbols
Answer:
58 ≤ x ≤ 126
Step-by-step explanation:
hopefully i understood that
Can someone help me out please ?
Answer:
second one pretty sure
Step-by-step explanation:
Choices:
(x + 0, y -12)
(x + 8, y - 6)
(x + 1, y - 13)
(x - 7, y - 3)
(x + 10, y + 0)
Answer:
(x + 10, y + 0)
Step-by-step explanation:
in the graph, all points of the triangle (a, b, and c) are translated 10 units to the right. when things are translated to the right, the x is the number being affected.
I need help graphing
Lmk if this helped if not im sorry
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
79
Step-by-step explanation:
m<1 = 90 -38 = 52
m<3 = 90 - 52 = 38\
m<2 = 180-38-63 = 79
Answer:
Step-by-step explanation:
<1 + <3 = 90 Parallel lines produce interior angles that add to to 90
<1 + 38 = 90 Substitution
<1 = 90 - 38 52
<3 = 90 - 52
<3 = 38
38 + 63 + <2 = 180 Sum of angles in a triangle always = 180
101 + <2 = 180
<2 = 79
HELP
The cost of an iPhone X is $1,149.00. The cost of an iPhone 4 is $199.00. How many times greater is the
cost of an iPhone X than an iPhone 4? Round your answer to the nearest tenth.
show your work please
Answer:
The answer you are looking for is 5.8 times greater
Answer:
5.8 or 6
Step-by-step explanation:
round 1149 to 1150
round 199 to 200
your answer would be 5.75 round that to 6
Which of the following is equal to -24? Choose all that apply
Can zero be a solution of a quadratic equation? Explain
- tysm pooo
Answer:
If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers. The Zero-Product Property states that for all real numbers a and b, if [tex]ab=0[/tex], then a=0 or b=0.
We can The Zero-Product Property to solve a quadratic equation when we can factor the standard form of the equation. Because when we apply The Zero-Product Property to a factored quadratic equation we can find the x-intercepts of the graph of the related functions. Respectively we can find the solutions to the quadratic equation.
A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes.
Answer:
1km per minute
Step-by-step explanation:
Given the table in the picture :
The average rate of change over the interval from 8 to 15 minutes will be :
Change in distance / change in time
Change in distance between 8 and 15 minutes :
Distance d1 at 8 minutes t1 = 7km
Distance d2 at 15 minutes t2 = 14km
Average rate of change = (d2 - d1) / (t2 - t1)
Average rate of change = (14 - 7)km / (15 - 8)min
Average rate of change = 7km / 7minutes
Average rate of change = 1km per minute
Answer:
The rate of change is 1 kilometer per minute
Step-by-step explanation:
HELP ME PLEASE THANK YOU
1. Write a paragraph proof for the following conjecture.
Given: QS bisects ∠PQR.
m∠PQS = 45°
.
Prove: []PQR is a right triangle.
10 points, help asap
QS bisects the ^PQR^ :
So -----¢ PQS = SQR = 45°
_________________________________
PQR = PQS + SQR = 45°+ 45° = 90 °
Q^ = 90° ----¢ So the PQR triangle is a
right triangle.
Subtract 1 + ( - 1 ) - ( - 3 ). Hint: Add the first two numbers, then subtract the -3 from the result of that addition.
3
5
-5
-3
Answer:
3
Step-by-step explanation:
1 + (-1) - (-3)
when adding a negative number to a positive number remove the addition sign.
1 - 1 - (-3)
0 - (-3) Make addition sign
0 + 3 = 3
Twelve less than three times an number is -15. What is the equation ? What is the number ?
Answer:
3x - 12 = -15
x = -1
Step-by-step explanation:
3x - 12 = -15
3x = -3
x = -1