[tex]\text{Given that,}\\\\h(x) = -x+5\\\\\implies 3 = -x +5\\\\\implies x = 5 -3 =2[/tex]
PLEASE HELP
Timmy has a collection of 95 coins consisting of
dimes and nickels in his piggy bank. The total value of his
bank is $6.50. How many dimes are in his collection? How
many
nickels are in the collection?
Answer:
35 dimes and 60 nickels
Step-by-step explanation:
let d = # of dimes and n = # of nickels
We know that Timmy has a total of 95 coins, consisting of dimes and nickels
So d + n = 95
The total value of his bank is $6.50
A dime is worth $0.10 and a nickel is work $0.05
So 0.10d + 0.05n = $6.50
Note that we've just created a system of equations that we can solve
We have the two equations
0.10d + 0.05n = 6.50 and d + n = 95
There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.
First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.
d + n = 95
- subtract d from both sides -
n = 95 - d
We now defined "n"
Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.
0.10d + 0.05n = 6.50
n = 95 - d
0.10d + 0.05(95 - d) = 6.50
we now solve for d
0.10d + 0.05(95 - d) = 6.50
step 1 distribute the 0.05
0.05 * 95 = 4.75 and 0.05 * -d = -0.05d
0.10d + 4.75 - 0.05d = 6.50
step 2 combine like terms 0.10d - 0.05d = 0.05d
0.05d + 4.75 = 6.50
step 3 subtract 4.75 from both sides
0.05d = 1.75
step 4 divide both sides by 0.05
0.05d / 0.05 = d and 1.75 / 0.05 = 35
d = 35
Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )
d + n = 95
d = 35
35 + n = 95
subtract 35 from both sides
n = 60
We can conclude that he has 35 dimes and 60 nickels
In angle PQR, angle P = (4x – 14)º, angle Q = (5x + 6)", and angle R= (x - 2)°. Find
angle R.
we have: ∠P + ∠Q + ∠R = 180°
<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°
<=> 4x – 14 + 5x + 6 + x - 2 = 180°
<=> 10x - 10 = 180°
<=> 10x = 190
<=> x = 19°
So: ∠R = (x - 2)° = (19 - 2)° = 17°
ok done. Thank to me :>
Alan draws the two triangles below.
Alan claims that the two triangles are similar. Which of the following methods could he use to prove his claim? Select TWO that apply.
A
show that all pairs of corresponding sides are congruent
B
show that the triangles are congruent, as all congruent triangles are similar
C
show that a sequence of rigid motions and dilations carries one triangle onto the other triangle
D
show that all pairs of corresponding angles are congruent and all corresponding sides are
Answer:
A & D
Step-by-step explanation:
Both use SSS to prove triangles congruent.
Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.
"If and only if the following two conditions are met, two triangles are congruent.
Three corresponding sides have the same value.
The measurements of the three related angles are all equal."
given instance,
Think about the triangles PQR and ABC.
If A = P, B = Q, and C = R
AB = PQ, BC = QR, and AC = PR as well.
If ABC and PQR are congruent triangles, then ABC PQR is the way to write it.
As a result, the following are true statements concerning congruent triangles:
The length of each of the three pairs of corresponding sides is the same.
The three pairs of comparable angles in each case are all of the same size.
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4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above
The leader of the Protestant Reformation was a German monk called ___.
100 POINTS PLEASE HELP ME 100 POINTS (make fullscreen)
Answer:
1) 64, 2) 6, 3) 26, 4) 33Step-by-step explanation:
#1Sum of interior angles is 180
70 + 46 + x = 180116 + x = 180x = 64#2Sum of interior angles is 180
84 + 7x + 1 + 9x - 1 = 8416x + 84 = 18016x = 96x = 6#3Vertical angles are same, the sum of remaining angles is same for both triangles:
35 + 25 = 34 + x60 = 34 + xx = 60 - 34x = 26#4Exterior angle is same as the sum of non-adjacent interior angles:
5x - 7 + 6x + 3 = 8411x - 4 = 8411x = 88x = 8m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33identicalAnswer:
1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
#1
Sum of interior angles is 180
70 + 46 + x = 180
116 + x = 180
x = 64
#2
Sum of interior angles is 180
84 + 7x + 1 + 9x - 1 = 84
16x + 84 = 180
16x = 96
x = 6
#3
Vertical angles are identical, the sum of remaining angles is the same for both triangles:
35 + 25 = 34 + x
60 = 34 + x
x = 60 - 34
x = 26
#4
The exterior angle is the same as the sum of non-adjacent interior angles:
5x - 7 + 6x + 3 = 84
11x - 4 = 84
11x = 88
x = 8
m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
A square has sides of length 36.5 yards. What is the area?
Answer:
1332.25 yd²
Step-by-step explanation:
To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.
36.5 * 36.5=1332.25
10 + (-3 3/8) = i need the answer
Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
The function f(x) goes through the point (4, 7). What point will this translate to in the function f(x) = (x - 6) + 3?
a. (10,10)
b. (-2,4)
c. (10,4)
d. (-2,10)
Answer:
a. (10,10)
Step-by-step explanation:
This was by accident the first answer is right
Will's Burger Place made 29 burgers. 18 of the burgers had onions. What is the ratio of the number of burgers without onions to the total number of burgers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
11:18
Step-by-step explanation:
Hope this helped!
Raj pays $7.99 per month for a movie subscription service. One month he also rents 3 movies from the service. His bill for the month is $19.96. How much does Raj pay to rent each movie?
Answer:
Each movie costs 3.99
Step-by-step explanation:
If every month he is paying $7.99 initially for the service, you take $19.96 and subtract the initial cost ($7.99) then your left with $11.97 and since he bought 3 movies then you divide $11.97 by 3 and your left with $3.99 which is your final answer!
Hope this makes sense!
Are these lines perpendicular?
yes
no
Answer: yes they are perpendicular
I need help with this and show your work.
Answer:
Step-by-step explanation:
Determine which climbed at a constant rate
A constant rate would produce a straight line. The slope is the same for all the data for that climber. We can either calculate the slope between the first and last intervals and see if the slope changes. Or we can graph the points, which I chose to do. See the attachment.
Note that Joe's rate is not constant. It appears as though he's wearing down. Both Zas and Stephon have constant slopes, so their climbing rates are constant over the period measured.
The slope is the climbing rate:
Joe: Not Constant
Zas: 2.5 feet/sec
Stephon: 4.0 feet/sec
Time to Reach 30 feet
Joe: Unknown - he's slowing down at an unpredictable rate.
For Zas and Stephen, use their slopes in the expression:
Use m for slope (ft/sec): y = m(t) where t is time in seconds
Zas: 2.5 feet/sec: y = 2.5(t) Time to reach 30 is 30/2.5 or 12 sec.
Stephon: 4.0 feet/sec: y = 4.0(t) Time to reach 30 is 30/4.0 or 7.5 sec.
the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.
Using the histogram, the mean of the data-set is estimated to be of 31.
The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.In this problem, the intervals and relative frequencies are:
The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].Hence, the mean is:
[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]
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X cube+6x-16=0
find all solutions by factoring.
answers
(-2,8)
(-8,2)
(2,8)
(-8,-2)
Answer:
(b) {-8, 2}
Step-by-step explanation:
The given equation
x³ +6x -16 = 0
cannot be factored in integers. It has one irrational real root near x=1.759, and two complex roots.
__
Perhaps you want to factor ...
x² +6x -16 = 0
(x +8)(x -2) = 0
This has solutions x = -8 and x = 2 that make the factors be zero.
_____
Additional comment
"Cubed" refers to an exponent of 3.
Answer:
Option b] (2,-8)
Step-by-step explanation:
⇒ x³ + 6x - 16 = 0
♦ the value of one root is irrational and other two are complex roots.
⇒ x² + 6x - 16 = 0
⇒ (x + 8)(x - 2) = 0
⇒ x = 2 , -8
aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have?
Answer:
answer 215 nickels
Step-by-step explanation:
Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many pounds of honey is produced if 145 pounds of beeswax
Answer:
1,015
Step-by-step explanation:
7 pounds of honey equals 1 pound of wax
So if we have 145 pounds of was, we multiply 145 by 7
145x7= 1,015
Please help me with this question.
Answer:
TrueTrueStep-by-step explanation:
Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.
Line CD does not go through P, so C'D' is distinct and parallel to it (True).
Angles B and B' are congruent. (True)
Simplify: –5(3x – 11)
Answer:
40 i think
Step-by-step explanation:
What is the correlation coefficient of y=2.6x+43.1?
Answer:
\mathrm{X\:Intercepts}:\:\left(-\frac{431}{26},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:43.1\right)
Step-by-step explanation:
What is the initial value of the exponential function shown on the graph?
A : 0
B : 1
C : 2
D : 4
Solve the equation x^2 – 4x – 31=-2x + 25 to the nearest tenth.
Answer:
x=1+sqr57,1-sqr57
Step-by-step explanation:
Answer:
x = -6.5, x = 8.5
Step-by-step explanation:
The given equation ...
x^2 -4x -31 = -2x +25
can be rewritten to a form that facilitates completing the square:
x^2 -2x = 56 . . . . . add 2x+31
x^2 -2x +1 = 57 . . . add 1 to complete the square
(x -1)^2 = 57 . . . . . write the left side as a square
x -1 = ±√57 . . . . . take the square root
x = 1 ±√57 ≈ {-6.5, 8.5} . . . . . add 1, evaluate
Solutions are near x = -6.5 and x = 8.5.
Tien works in a music store and earns 10.4% commission on each sale. If Tien sells a guitar and earns $142.25, what is the price of the guitar? Round your answer to the nearest cent.
$1,367.79
$14.79
$13.68
$1,492.79
75 basketballs cost $1,143.75. Find the cost of 26 basketballs.
If √2 = 1.414, then the value of 1/2 √16200.
please friends koi to solve kar do.
Given that √2 = 1.414
The value of (1/2)√(16200)
16200 can be written as
16200 = 2×8100
16200 = 2×2×4050
16200 = 2×2×2×2025
16200 = 2×2×2×5×405
16200 = 2×2×2×5×5×81
16200 = 2×2×2×5×5×3×27
16200 = 2×2×2×5×5×3×3×9
16200 = 2×2×2×5×5×3×3×3×3
√16200 = √(2×2×2×5×5×3×3×3×3)
√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)
√16200 = 2×5×3×3√2
√16200 = 90√2
Now,
(1/2)√16200
⇛(1/2)×90√2
⇛90√2/2
⇛45√2
⇛45×1.414
⇛63.63
Answer: Hence, value of (1/2)√(16200) is 63.63
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If √2 = 1.414 then the value of 5+√2 / 5-√2 is..
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The value of 1/2√16200 given the value of √2 = 1.414 is 63.63
How to use prime factorization to solve square rootPrime factorization of √16200
= 3 × 3 × 5 × √2
= 90√2
Given:
√2 = 1.4141/2√16200
= 1/2 × 90√2
= 90√2 / 2
= 45√2
= 45 × √2
= 45 × 1.414
= 63.63
Therefore, the value of 1/2√16200 is 63.63
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The value of y varies directly with x. When y = 35, x=1/2.
what is the value of y when x is 1 1/4?
༒Question༒
Refer to attachment
nonsense answer will get report
Answer:
Bro if you need help then tell me in comments section
please help ASAP!!!
Answer: y = 115 and x = 78
Step-by-step explanation:
y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same. Which of the following functions represents the new fees, N(h)?
Answer:
N(h) = 17.5h + 15
Step-by-step explanation:
N(h) = 8.75h + 15 | write original equation
N(h) = 8.75(2) + 15 | multiply the original hourly fee by 2
N(h) = 17.5 + 15 | solve
Stay healthy and happy <3.
Hope this helped.
The required function represents the new fees is given as N(h) = 17.5h + 15.
Given that,
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function,
C(h) = 8.75h + 15.
Now,
According to the question,
N(h) = 2× 8.75h + 15.
N(h) = 17.5h + 15.
Thus, the required function represents the new fees is given as N(h) = 17.5h + 15.
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100 inches = 254 centimeters
Use the conversion above to answer the following questions,
A pencil measures 10 inches, How many centimeters is the pencil?
The pencil measures
centimeters
Answer:
A pencil is about 19 centimeters long
Answer:
if 100 inches=254 centimeters
then 10 inches=x
100x=2540
x=2540/100
x=25.4 centimeters