Answer:
D
Step-by-step explanation:
3(x-2)+2x=3x+2x-6=5x-6
To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.
a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950
Answer:
[tex]y = 25x +1950[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (30,2700)[/tex]
[tex](x_2,y_2) = (50,3200)[/tex]
Required
Determine the linear function
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]
[tex]m = \frac{500}{20}[/tex]
[tex]m = 25[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 2700 = 25(x - 30)[/tex]
[tex]y - 2700 = 25x - 750[/tex]
Make y the subject
[tex]y = 25x - 750 + 2700[/tex]
[tex]y = 25x +1950[/tex]
father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step
Answer:
5 steps
Step-by-step explanation:
[tex]65cm \times 8 = 520cm[/tex]
[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]
[tex]25 \times 8 = 200cm \: gap[/tex]
[tex]200 \div 40 = 5[/tex]
Answer:
His daughter has walked 13 steps
Step-by-step explanation:
Unit Conversion
Each step of the father is 65 cm long and each step of his daughter is 4 dm long.
Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.
Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.
His daughter has walked 13 steps
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o feet.
• She descends 28.7 feet.
• She then ascends 9.9 feet.
Next, she descends a second time, 92.8 feet.
How many feet must she now ascend to get back to sea level?
Answer:
111.6
Step-by-step explanation:
92.8+28.7=121.5
121.5-9.9=111.6
what is the solution to the inequality 1/4(3x-6) >2(7-x +1
Answer:
x>70/11
Step-by-step explanation:
Please help me ASAP I’ll mark Brainly
Answer:
I can't help if I can't see the question
Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a television whose dimensions are 54 inches by 28 inches?
A) 61 inches
B) 71 inches
C) 81 inches
D) Unable to determine with given data.
Answer:
A
Step-by-step explanation:
61 inches
Step-by-step explanation:
61inches is answer.. .. ..
Find the area of the figure. Round to the nearest tenth if needed. Enter the number only.
9514 1404 393
Answer:
215.6 cm^2
Step-by-step explanation:
The top and bottom "wings" are 3.25 cm by 12.25 cm, so each has an area of ...
A = LW
A = (12.25 cm)(3.25 cm) = 39.8125 cm^2
The left and right "wings" are 3.25 cm by 7.25 cm, so each has an area of ...
A = (7.25 cm)(3.25 cm) = 23.5625 cm^2
The middle rectangle is 12.25 cm by 7.25 cm, so its area is ...
A = (12.25 cm)(7.25 cm) = 88.8125 cm^2
Then the total area is ...
area = middle rectangle + 2×side wings + 2×top/bottom wings
= 88.8125 +2(23.5625) +2(39.8125) = 215.5625 . . . cm^2
The area of the figure is about 215.6 cm^2.
1. What does the algebraic representation (x,y) → (x-1, y-2) represent?
A Each point of a figure will translate 1 unit left and 2 units down.
B Each point of a figure will translate 1 unit left and 2 units up
. C Each point of a figure will translate 1 unit right and 2 units up.
D Each point of a figure will translate I unit right and 2 units down.(their is no visual)
Answer:
A) Each point will translate 1 unit left and 2 units down
Step-by-step explanation:
I got it right in my test Answer A
Dimas is playing a game that uses a number cube. The sides of the cube are labeled from I to
number cube one time.
Dimas wants to roll a 2 or a 3. He rolls the
What is the probability that he will roll a 2 or a 3?
ОА .
OB
O D. 16
Answer:
0.333333 or 1/3
Step-by-step explanation:
I hope it is 1 to 6.
2 or 3 is the 2 numbers representing success
P(2 or 3) = 2/6 = 1/3
I don't understand the choices. Can you upload a picture of the question?
C = 7a^4+ + 5a²b2 – 3b^4
D=5a^4 + 7a²b^2 + 3b^4
C - D =
Answer:
2a^4 +12a
[tex]2 {a}^{4} + 12 { a}^{2} \\ \times \times [/tex]
Answer:
C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]
Step-by-step explanation:
We are given:
[tex]C = 7a^4+ + 5a^2b2 - 3b^4\\D=5a^4 + 7a^2b^2 + 3b^4[/tex]
We need to find C-D.
Finding C-D we actually have to subtract D from C
So, finding C-D
[tex]C-D\\= 7a^4+ + 5a^2b2 - 3b^4-(5a^4 + 7a^2b^2 + 3b^4)\\=7a^4+ + 5a^2b2 - 3b^4-5a^4-7a^2b^2-3b^4[/tex]
Now, combining the like terms.
Like terms are those that have same variables and exponents.
In our case, [tex]7a^4\: and\: 3b^4, 5a^2b^2\: and\: -7a^b^2, -3b^4\:and\:-3b^4[/tex]
[tex]=7a^4 - 3b^4+5a^2b^2 -7a^b^2 -3b^4-3b^4\\=4b^4 -2a^b^2 -6b^4[/tex]
So, we get C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]
Find the length of the hypotenuse
Answer: what’s the problem?
Answer:
a²+b²=c²
Step-by-step explanation:
If you have A and B then you will be able to use them to solve C, this also known as Pythagorean theorem. Again, if you have A and B ypu will be able to plug in your numbers into A and B and solve the equation... But if that is not what you're looking for then I can not solve your problem since there is no work.Please help, don’t understand
I need help with this
Answer:
yes because 96/6 equals 16, and 6x16=96
Step-by-step explanation:
KA-BOOM!!! meh
Answer:
Yes it is
because 96/6 = 16
And if you flip it you'll get the same thing
Step-by-step explanation:
What's the correct answer to this math problem?
27.4-3.2×2
Answer:
21
Step-by-step explanation:
..........................
thank you
if this helps
Answer: 8
Step-by-step explanation:
8/2 + 5 =9 in desmos
6x – 5 = 37 Please help I need it
98 points Please help
Answer: X = 7.
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
I'll go step-by-step.
1. Add 5 to both sides. 6x-(5+5)=37+5
2. Simplify 6x=42
3. Divide both sides by 6. [tex]\frac{6x}{6} =\frac{42}{6}[/tex]
4. Then simplify/Divide. 42 / 6 = 7
That's how you get 7!
X = 7
Hey there!
6x - 5 = 37
ADD 5 to BOTH SIDES
6x - 5 + 5 = 37 + 5
CANCEL out: -5 + 5 because it gives you 0
KEEP: 37 + 5 because it help solve for the x-value
NEW EQUATION: 6x = 5 + 37
SIMPLIFY IT!
6x = 42
DIVIDE 6 to BOTH SIDES
6x/6 = 42/6
CANCEL out: 6/6 because it give you 1
KEEP: 42/6 because it gives you the x-value
NEW EQUATION: x = 42/6
SIMPLIFY IT!
x = 7
Therefore, your answer is: x = 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?
Answer:
b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in .b
Answer:
The other guy is wrong. The correct answer is Option C.
Step-by-step explanation:
It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C
What value of P makes the equation true?
2.5 + 0.15p = 0.4p
p = ___
Step-by-step explanation:
2.5 + 0.15p = 0.4p
0.25p = 2.5 (subtract 0.15p on both sides)
p = 10 (multiply 4 on both sides)
Answer:
[tex]2.5 + 0.15p = 0.4p \\ 2.5 = 0.25p \\ p = \frac{2.5}{0.25} \\ \boxed{p = 10}[/tex]
10 is the right answer.
-27.375/7.5 plz show explanation
Answer:
-3.65
Step-by-step explanation:
We use the rules of division
Then we divide
[tex] - (27.375 \div 7.5) \\ - 3.65[/tex]
Answer:
-3.65
Step-by-step explanation:
-27.375/7.5
= - 3.65
Plz mark me Brainliest
Calculate the average rate of change of function on the interval (a,a+h). simplify your expression.Show all steps.
f(x)=3x+2/2x-1
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]
at x₁ = a,
[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]
at x₂ = a+h,
[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]
Using the formula to determine the average rate of change
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
[tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]
as a+h-a = h, so
[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
Thus, the everarge rate of chnage: [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
We can further simplify such as:
[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]
[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]
[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]
Cancel the common factor h
[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]
Give me your opinion on the new song driver license, and explain what the songs about?
Answer:
the song is a break up
Step-by-step explanation:
honestly I find it very good but its funny because I grew up being obsessed with bizrdvark which is a kids show on Disney she was on
Find the value of x. Show your work with proper statements and notations. D ∈ AC
Answer:
x=25°
Step-by-step explanation:
Using the "Z rule," m∠DCB has the same value with m∠EAD so they are both x.
Look at D, the other side should be 130° since it'll be 180 when you add 130 and 50.
in our triangle DBC we have 130° and 2x. So 2x = 50 and x=25
Is the answer I put correct? I just wanna check. Tell me if it’s wrong please
Answer:
no is 100 fluid ounces.
Would appreciate some help thanks
Answer:
f(8) = -9
Step-by-step explanation:
Substitute 8 in for x.
f(8) = -2(8) + 7
f(8) = -16 + 7
f(8) = -9
Please help :) Thank you
Answer:
C
Explanation:
:) hope this helps
Help find the answer?
Answer/Step-by-step explanation:
4. The product of ⅓ and a => ⅓ × a = [tex] \frac{1}{3}a [tex] or [tex] \frac{a}{3} [/tex]
5. a divided by 3 => a ÷ 3 = ⅓a
6. Subtracting ⅓ from b => [tex] b - \frac{1}{3} = \frac{b}{1} - \frac{1}{3} = \frac{3b - 1}{3} [/tex]
subtract -3n^2 from -7n^2
Answer: 4n^2
Step-by-step explanation: -3n^2 - (-7n^2) = -3n^2 + 7n^2= 4n^2. When adding and subtracting the exponents stay the same only the coefficients are subtracted or added
Determine the approximate value of side A.
Answer:
A should be 40 if not sorry
Step-by-step explanation:
Answer:
40 is da right answer,you will see little william
Find the sum of 24/5 + 13/9
Help plis
17. Find the sum of (10x + 3) and (- 4x - 2).
Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1