solve for a a^2+17=42?
We are given the following equation:
[tex]a^2+17=42[/tex]
Subtract both sides by 17
[tex]a^2=25[/tex]
Take the positive/negative square root of both sides
[tex]a=\pm5[/tex]
This should be your answer. Let me know if you have any questions, thanks!
Which equations have no solution? Check all that apply.
- 1x] = 0
[x] =-15
0 - x = 12
-|-x] = 9
-|-x] = -2
Answer:
- 1x] = 0
[x] =-15
HELP PLEASE ITS MATH
Answer:
32 trips.
Step-by-step explanation:
It's a proportion question.
7/84 = x/384
84x = 7*384
84x = 2688
Divide both sides by 84 to isolate x.
x = 2688/84
x = 32
So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.
(I apologize if the answer is wrong!)
Please Help! I will give you a lot of points! (6.3)
The average yearly salary of a lawyer is $34 thousand less than twice that of an architect. Combined, an architect and a lawyer earn $215 thousand. Find the average yearly salary of an architect and a lawyer
What is the average yearly salary of an architect?
What is the average yearly salary of a lawyer?
Let architect s income be x
Lawyers income be 2x-34AtQ
[tex]\\ \sf\longmapsto x+2x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x=249[/tex]
[tex]\\ \sf\longmapsto x=83[/tex]
[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]
Lawyers income=132thousandArchitect s income=83thousandDetermine if the following table represents a linear function. If so, what’s the rate of change?
The values in the table represent a linear function.
The correct option is; Yes; The rate of change = 3/2
What is a linear function?A linear function is a function forms a straight line when plotted on the coordinate plane.
The values in the table represent a linear function, where we get;
The first difference is constant
The subsequent x-values increase by the same value
The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant
The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3
The first difference is a constant, 3, therefore, the values in the table represent a linear function.
The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;
The rate of change = 3/2
The correct option is therefore; Yes, rate of change = 3/2
Learn more on linear functions here: https://brainly.com/question/29869165
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b) 2a + 3b If a = 7 and b = 2, find the value of a) ab c) 2ab d) (a - b)2
Answer:
b) 20, a) 14, c) 28, d)10
Step-by-step explanation:
b) 2a +3b ; a=7 and b=2
2(7) + 3(2)
14 +6
20
a) ab
(7)(2)
14
c)2ab
2(7)(2)
14(2)
28
d) (a-b)2
2a-2b
2(7)-2(2)
14-4
10
I was a bit confused at the question, but those were the answers that I got and the work that follow. Hope this helps! Good luck.
how do i write the word form and the expanded form for 3.4 and 2.51
Answer:
(3×1)+(4/10) & two and fifty-one hundredths
Step-by-step explanation:
In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.
1. 3.4
[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]
2.2.51
two and fifty-one hundredths
Hope this helps.
(1/2 + 1/3) - (1/2 - 1/3) =
Answer:
.66
Step-by-step explanation:
1/2 + 1/3 - 1/2 - 1/3 = .66
Which of the following does NOT have a unit price of $24 for one sweater?
$38 for 2 sweaters
$72 for 3 sweaters
$96 for 4 sweaters
$120 for 5 sweaters
Answer:
$38 for 2 sweaters
Step-by-step explanation:
Every price for all other sweater options are divisible by 24, since it is the unit price (meaning 1 sweater = $24). 38 is not divisible by 24, but by 19. This means it does not follow the unit price. It would be a special sale.
What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
Answer:
(0, e-1) or (0, 1.718) to the nearest thousandth.
Step-by-step explanation:
The y-intercept occurs when x = 0 so here we have:
y = e^(1 - 0) - 1
= e - 1
So the y-intercept is the point (0, e-1)
18/3=????????????????????
Answer:
18/3=6
Step-by-step explanation:
3 can be made out of 18 6 times
HELPPPPPPPPPPP. please explain how u got the answer
Step-by-step explanation:
the key is x = 0.
also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.
let's test it.
a linear function is a line :
y = ax + b
remember, x = 0 is a key element.
y = a×0 + b
-3 = a×0 + b
-3 = b
so, we know, the line function is
y = ax - 3
now, for the a. let's use the next xy pair (1, 1).
1 = a×1 - 3
4 = a
aha ! our line function is therefore
y = 4x - 3
verify with the next 2 points (2, 5) and (3, 9)
5 = 4×2 - 3 = 5 correct
9 = 4×3 - 3 = 9 correct
linear type and equation confirmed.
the second table :
yes, we see relatively big y values compared to the x values.
and the y values follow the powers of 2
so it seems to to be exponential.
64 = 2⁶
32 = 2⁵
16 = 2⁴
8 = 2³
so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.
the old trick : c-x.
again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.
64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶
=> c = 6
so, we suspect the exponential function
y = 2^(6-x)
let's verify with the other points
(1, 32)
32 = 2^(6-1) = 2^(5) = 32 correct
(2, 16)
16 = 2^(6-2) = 2^(4) = 16 correct
(3, 8)
8 = 2^(6-3) = 2^(3) = 8 correct
so, yes, it is the exponential function
y = 2^(6-x)
how to find slope of (-7,3) and (5,6)
Answer:
The slope is 1/4
Step-by-step explanation:
y2-y1 6-3 3 1
m= —— = —— = —— = ——
x2-x1 5+7 12 4
Find a compatible dividend for the division problem.
2,394
Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = -4x - 3
O-4
O-3
03
04
9514 1404 393
Answer:
(b) -3
Step-by-step explanation:
The "initial value" is the constant in the equation. It is the value that remains when the x-term is removed. It is the result of evaluating the equation when x=0.
y = -4(0) -3 . . . . substitute x=0
y = 0 -3
y = -3 . . . . the "initial value"
2. Translate P(4, 0) right 3 units and up 5 units. Give the coordinates of the image point.
O(-5, 1)
O(1,-5)
O (5,7)
O (7,5)
The coordinates of the image point will be P''(7, 5).
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation {k units} : When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation {k units} : When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward translation {k units} : When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward translation {k units} : When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the rightGiven is to translate P(4, 0) right by 3 units and up by 5 units.
Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)
Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)
Therefore, the coordinates of the image point will be P''(7, 5).
To solve more questions on Graph translations, visit the link below -
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what percent of 60 is 15? Please help 10points
25% of 60 is 15
If divide 15 by 60 we find that it is eqyivalent to the ratio of 1/4. 1/4 is the same as 25%.
Answer:
25%
Step-by-step explanation:
25% means one fourth. 15 is exactly 1/4, or 25% of 60.
Hope it helps you! :)
[tex]GraceRosalia[/tex]
Will mark BRAINLIEST IF U ANSWER!:
Answer:
-4.62962962963
Step-by-step explanation:
Two of the dozen eggs in a carton
are cracked. About what percent of the
carton is cracked?
Answer:
17%
Step-by-step explanation:
2/12 or the eggs are cracked. That means 1/6 of the eggs are cracked.
1/6 approximately equals 0.167
So, it is approximately 16.7%, or if you round it up, 17%.
Answer:
16.67 %
Step-by-step explanation:
two of a dozen is 2/12 simplified is 1/6 and 1/6 in a percentage is 16.67%
Let U be the set of whole numbers from 5-10 inclusive. Set A= {5, 7, 9}, Set B = {5, 8, 10}. AU~B <---------
Answer:
Suppose the universal set is U = all whole numbers from 1 to 9. If A = {1, 2, 4}, then Ac = {3, 5, 6, 7, 8, 9}. As we saw earlier with the expression Ac ...
Let U be the set of whole numbers from 5-10 inclusive. Set A={5, 7, 9 ...
(x+7)+3y simply I need help plsssss
Answer:
move 7
Step-by-step explanation:
x + 3 y + 7
Terrance earned $444 in March, $523 in April and $410 in May. He divided his earnings between himself and his 4 other workers. How much did they each earn?
Answer:
$275.40
Step-by-step explanation:
Add 444+523+410=1377
divide 1377 by 5 and u get 275.4
is y=3 and x=5 perpendicular?
Answer:
yes
Step-by-step explanation:
One is a horizontal line, and the other is a vertical line.
Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.
Step-by-step explanation:
The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
Answer:
0.45 miles per minute
Step by Step Explanation:
Look at the units: miles per hour is miles/hour
If we multiply
miles hour miles
----- * ------- = ---------
hour minute minute
(27 miles/hour)(1/60 hours/minute) = 27/60
= 9/20 = 0.45 miles per minute
Solve the following for x:
4x + y = z
a.x = z - y - 4
b.x = z/4
c.x = z-y/4
d.x = z+y/4
Explain
Answer:
[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]
Step-by-step explanation:
4x + y = z
4x = z - y
x = 1/4z - 1/4y
when adding a postitive on the number line you move....
Answer:
When you add a positive number, you move to the right on the number line
If sin x=0.96, find tan x
Step-by-step explanation:
sin x= P/H
sin x = 0.96 = 96/100 = 24/25.
Let the ratio of the sides be x.
B²=H²-P²
B²=(25x)²-(24x)²
B²=625x²-576x²
B²=49x²
B=√49x²
B= 7x.
cos x = 7x/25x = 7/25.
therefore, tan x = sin x / cos x = (24/25)/(7/25) = 24/25×25/7 = 24/7 .
hope this helps you.
18. In a basketball game,
Benito scored 3 points less than twice the number of points that
Carnell scored. Benito scored 13 points. How many points did Carnell score?
Answer:
32
Step-by-step explanation:
13+3=16
16*2=32
simplify : (2x^3 - 10x^2 + 5x +14) / (x-2)
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Answer:
what is your question all I see is numbers and shapes