Answer:
- 8x + 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 5x + 3 + (- 3x)
= - 5x + 3 - 3x ← collect like terms
= - 8x + 3
How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?
Answer:
15 cupsStep-by-step explanation:
20% of juice has:
10*0.2 = 2 cups of extractIf x cups of juice added we'll have:
2 + x*0.15 = 0.17(10 + x)2 + 0.15x = 1.7 + 0.17x0.17x - 0.15x = 2 - 1.70.02x = 0.3x = 0.3/0.02x = 15help plz ^^^^^^^^^^!!!!!!!
Answer:
refer pic
sorry for messy handwriting
hope it help u and i appreciate if you give brainliests, thanks
I need help with 13
9514 1404 393
Answer:
g(x) = (x -3)² -6
Step-by-step explanation:
You know that a function f(x) is translated h units to the right when x is replaced by x-h.
g(x) = f(x-h) . . . . . translated h units right
You also know that a function f(x) is translated k units up when k is added to the function value.
g(x) = f(x) +k . . . . . translated k units up
__
Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...
g(x) = f(x -3) -6
Using the given definition of f(x), this becomes ...
g(x) = (x -3)² -6
Araba used ⅓of her salary on food and ⅖ on other items. If she saved the remaining amount of 240 cedis, how much is Araba's salary
Answer:
900
Step-by-step explanation:
1/3 + 2/5 = 11/15
4/15 = 240
4/15 x = 240
4x = 3600
x= 900
Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?
Answer:
1/4 chance
Step-by-step explanation:
First you need to find the probability of Tess choosing a red ribbon.
1/2
Then you need to multiply that probability by the reciprocal of 2, which is 1/2
1/2 x 1/2 = 1/4
Determine the values of X, Y and Z on the following number line:
HH
X -11 Y 9 Z
What is the value of R? (Assume R > 0)
R/4=36/R
A)8
B)9
C)12
D) 20
The value of R is 12.
What are square roots?A value that yields the original number when multiplied by itself is known as the square root of a number. The square root is a backwards technique for figuring out a number. Thus, squares and square roots are connected ideas.
Given R/4 = 36/R
multiply both sides by R
R/4 x R = 36/R x R
R²/4 = 36
multiply both sides by 4
R²/4 x 4 = 36 x 4
R² = 144
so R = √144
R = 12
Hence R = 12 for given condition.
Learn more about square roots;
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What is the length of MO?
Select the best answer from the choices provided.
A.4
B.5.656
C.8
D.11.314
Answer:
D
Step-by-step explanation:
8^2+8^2=128
Square root of 128 is about 11.313
Plessse help, thanks
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 9t3 + 24t2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
5 months
3 months
2 months
1 month
Replace t with the months given as choices to see which one gives a positive value as an answer.
P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4
P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0
P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6
P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0
P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96
It shows a profit in month 6 so it would start showing a profit in month 5.
The answer is 5 months
Can someone help me pls ASAP
What is 2 plus 2 equal
Answer:
2 + 2 = 4
Step-by-step explanation:
Logically, the response of 2 + 2 = 4. This is because the sign in the problem is addition. Another way to look it, If we have 2 oranges and have another 2 oranges we have four oranges.
IT
17) Between which two consecutive whole numbers does the length of the diagonal
fall? The length of the diagonal is between
a) 3 and 4 b) 4 and 5
c) 5 and 6 d) 6 and 7
V 18
기
D
Ос
Od
Answer:
4 and 5, closer to 4
Step-by-step explanation:
hope that helps>3
For the functions below, calculate the indicated function values.
(1 Point)
f (x) = x 8(x) = 5x - 12 h (x) = x2 + 4x - 7
Find f (10)
A. 10
B. 12
C. 38
Help!?
Answer:
10
Step-by-step explanation:
f(x)=x
subtitute 10 in the place of x:
f(10)=10
What is (x)
9.4x+17.5
Answer: x=1.8617
Step-by-step explanation: 9.4x+17.5 9.4x/9.4=17.5/9.4 x=1.8617
find the area of the shades figure
Answer:
14,142.858
Step-by-step explanation:
If (x,2) is a solution to the equation -2x+4y=-8, what is the value of x
Answer:
x=8
Step-by-step explanation:
-2x+4y=-8
Let y = 2
-2x+4*2=-8
-2x+8=-8
Subtract 8 from each side
-2x+8-8=-8-8
-2x=-16
Divide by -2
-2x/-2 = -16/-2
x = 8
g=A/4
fous on a please
G = A/4
Solve for A by multiplying both sides by 4:
A = 4G
Algebra
I need to work this out help me please
X-2y-2=0 in slope-intercept form
Answer:
y = x/2 - 1
Step-by-step explanation:
Just throw everything to the right till only y is on the left side
X-2y-2=0
- 2y =-x+2
2y = x - 2
y = x/2 - 1
Math geometry (10 points)
Please help me I’m struggling!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)
Answer:
Points lie on the same line if and only if the points are collinear
Step-by-step explanation:
Change the mixed form into improper fraction.
[tex]3 \times \frac{3}{8} = [/tex]
Please solve all 6 questions and show work... I will mark you brainliest and rate you five stars
Answer:
17.
9x - 2 = 8x + 6 (opposite angles on the transversal)
9x - 8x = 6+2
x = 8
18.
-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)
36x = 180
x = 180/36
x = 5
19.
9x + 4 + 95 = 180 (angles on the same side of transversal add up to 180)
9x + 99 = 180
9x = 180-99
9x = 81
x = 81/9
x = 9
20.
16x - 2 = 110 (opposite angles on the transversal)
16x = 110 +2
16x = 112
x = 112/16
x = 7
21.
29x + 4 = 31x -4 (opposite angles on the transversal)
4 + 4 = 31x - 29x
2x = 8
x = 8/2
x= 4
22.
12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)
18x +18 = 180
18x = 180-18
18x = 162
x = 162/18
x = 9
What is the ratio 1.6 kg: 120g lowest term?
Answer:
40:3
Step-by-step explanation:
1.6kg:120g
1600g:120g
1600:120
160:12
80:6
40:3
HELP FAST PLEASE
Colton has a bag that contains orange chews, lemon chews, and peach chews. He
performs an experiment. Colton randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Colton performs the experiment 49 times.
The results are shown below:
A orange chew was selected 18 times.
A lemon chew was selected 6 times.
A peach chew was selected 25 times.
Based on these results, express the probability that the next chew Colton removes
from the bag will be orange or lemon as a decimal to the nearest hundredth.
Answer:
0.49
Step-by-step explanation:
just convert 24/49 into a decimal
please help me with these questions I am begging anyone please help
(a)• production cost of a wooden cupboard is Rs.30,000.the manufacturer marked the price in order to obtain a 20% profit .if the payment is done outright 2% discount is given
questions
(1) what is the marked price of the cupboard?
(2) what is the outright price of the cupboard?
(3) find the price percentage gained by selling the cupboard for outright price ?
(b)• a furniture seller asks for 5% commission to sell 5 cupboard of Rs.35.000 each find the commission he receives
please help me
Answer:
1)rs.6000
Step-by-step explanation:
1)30 000*20/100=rs.6000
Sorry I don't know the answers for other questions cause I don't know outright price
If f(x) = -8 - 5x, what is f(-4)
Answer:
f(- 4) = 12
Step-by-step explanation:
To evaluate f(- 4) substitute x = - 4 into f(x) , that is
f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12
f(x)=-8-5x
[tex]\\ \rm\longmapsto f(-4)[/tex]
Put -4 inplace of x[tex]\\ \rm\longmapsto -8-5(-4)[/tex]
[tex]\\ \rm\longmapsto -8+20[/tex]
[tex]\\ \rm\longmapsto 12[/tex]
Find the sum of 8a –2b + 3c and –3a +4b –3c
Answer: 5a + 2b
Step-by-step explanation:
Given
(8a - 2b + 3c) + (-3a + 4b - 3c)
Expand parentheses
=8a - 2b + 3c - 3a + 4b - 3c
Put like terms together
=(8a - 3a) + (4b - 2b) + (3c - 3c)
Combine like terms
=5a + 2b + 0
=[tex]\boxed{5a+2b}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find an expression which represents the sum of (8x + 10y) and (-4. – 3y) in
simplest terms.
Answer:
Submit Answer
attempt 1 out of 2
12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6
Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:
The number of triangles that can be formed by an n-sided shape is n - 2.
Given that:
[tex]n \to[/tex] number of sides
From the attached figures, we have the following observation.
3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 trianglesIf this pattern continues, the number of triangles for an n-sided shape will be: n - 2
Hence, the conjecture is:
The number of triangles that can be formed by an n-sided shape is n - 2.
Read more about conjectures at:
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