Answer:
1. 3 × Equation [A2] --> Equation [B2]
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
Step-by-step explanation:
1. 3 × Equation [A2] --> Equation [B2]
Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol
Instead, this works:
4x × 3 = 12x
-7y × 3 = -21y
8 × 3 = 24
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
(-3x × 4) + 12x = -12x + 12x = 0x
(2y × 4) + -21y = 8y - 21y = -13y
(7 × 4) + 28 = 28 + 24 = 52
=========================
I'll try to explain my process a little this time.
From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.
Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.
A recipe calls for 2 cups of sugar for each 5 cups of flour. How many cups of sugar needed for 15 cups of flour?
Answer:
6 cups of sugar
Step-by-step explanation:
2/5=x/15
x=6
Can someone please help with my math homework? this is so confusing.
domain and range of y = x/(x+4)
Answer:
Step-by-step explanation:
[tex]y=\frac{x}{x+4}[/tex]
for domain x+4≠0
x≠-4
domain={R-{-4}}
R=all real numbers.
y(x+4)=x
yx+4y=x
yx-x=-4y
x(y-1)=-4y
[tex]x=-\frac{4y}{y+1} \\y+1\neq 0\\y\neq -1\\[/tex]
so Range ={R-{-1}}
Which equation illustrates the matrix associative property of addition?
Answer:
A expresses the ASSOCIATIVE PROPERTY OF ADDITION.
Step-by-step explanation:
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5). What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4) Mark this and return
9514 1404 393
Answer:
(c) (–5, 4)
Step-by-step explanation:
The rule for reflection across the line y=x is ...
(x, y) ⇒ (y, x)
G(4, -5) ⇒ G'(-5, 4)
Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charley has 7 boxes packed and plans to pack 5 additional boxes each hour. The equation below represents when Teddy and Charley will have packed the same number of boxes, based on x number of hours.
23 + 3x = 5x +7
After how many hours will Charley have packed the same number of boxes of juice as teddy?
Answer:
8 hours
Step-by-step explanation:
23 + 3x = 5x + 7
- 3x -3x
23 = 2x + 7
-7 - 7
16 = 2x
16/2 = 2x/2
x = 8
Answer:
BillyBob got it right, well explained..
Step-by-step explanation:
59 oz = ____ lb ______oz
Explain yourselves
Answer:
3 lb 11 oz
Step-by-step explanation:
Divide 59 by 16
Answer:
3 pound and 11oz
Step-by-step explanation:
hop3 this helps
Evaluate.
2 1/4 + 2/5 / (-1/2)-1/4
Enter your answer as a mixed number in simplest form in the box.
Answer:
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
2 1/4 + 2/5 / (-1/2)-1/4
order of operation states you do division before subtraction or addition
2 1/4 -4/5 -1/4....divide 2/5 by -1/2
2 - 4/5.................combine like terms
6/5........................subtract
1 1/5.......................simplify
Plsss helppppppp tyyyysmmmm
Answer:
Step-by-step explanation:
x = 180 - 117 = 63°
y = 360 - 63 - 86 - 98 = 113°
Sum of angles along a line about a point on the line is 180°
Sum of internal angles on a quadrilateral is 360°
A warehouse placed 10 equal weight bones on a scale. Total they weighed 6 pounds. Each
box weighed
of a pound
Let f(x)= - 4x - 1 and g(x)=x² - 5
Find (fog)(-2).
[tex]f(x) = -4x-1\\\\g(x) = x^2 -5 \\\\g(-2) = (-2)^2 -5 = 4 -5 =-1\\\\(f \circ g)(-2)\\\\=f(g(-2))\\\\=f(-1)\\\\=-4(-1) -1 = 4-1=3[/tex]
what you've learned from it. Was it a success or a challenge?
use the correct trig function to find the value of x. SOH, CAH, TOA
Answer:
About 11.025
Step-by-step explanation:
[tex]\sin{58^\circ}=\dfrac{x}{13}\\\\x=13\cdot\sin{58^\circ} \approx11.025[/tex]
4. 8 is what percent of 18?
Answer:
the answer is 26.6666667 and when rounded off is 26.7
PLEASE HELP
Create a cubic function that is not the parent function.
Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.
A cubic function is a function that has a power of 3, and three real roots.
The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis
The parent cubic function
[tex]\mathbf{f(x) = x^3}[/tex]
A transformed function of the cubic function may be
[tex]\mathbf{g(x) = -x^3}[/tex]
g(x) means that function f(x) is reflected across the y-axis.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = -f(x)}[/tex]
Substitute x^3 for f(x)
[tex]\mathbf{g(x) = -x^3}[/tex]
Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis
Read more about cubic functions at:
https://brainly.com/question/20896994
BEST ANSWER GETS BRAINLIEST!!!!
A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
trail mix costs 1.00 per pound
jelly beans costs 3.50 per pound
Step-by-step explanation:
t = cost of trail mix
b = cost of jelly beans
3t+8b = 31
5t+2b = 12
Multiply the second equation by -4
-4(5t+2b = 12)
-20t+-8b = -48
Add this to the first equation
3t+8b = 31
-20t+-8b = -48
-------------------------
-17t = -17
Divide by -17
t = 1
Now we can find b
3t+8b = 21
3(1) +8b = 31
3+8b =31
Subtract 3
8b = 31-3
8b = 28
Divide by 8
b = 28/8
b = 7/3
b = 3.50
Let trail mix be x and jelly beans be y
The equations are
3x+8y=31-(1)5x+2y=12-(2)Multiplying (1) by 1 and (2) by 4
3x+8y=31---(3)20x+8y=48--(4)Subtracting
[tex]\\ \sf\longmapsto -17x=-17[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Putting in eq(2)
[tex]\\ \sf\longmapsto 5(1)+2y=12[/tex]
[tex]\\ \sf\longmapsto 2y=7[/tex]
[tex]\\ \sf\longmapsto y=7/2[/tex]
Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost
among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.
$=
Answer:
250 - [tex]\frac{p}{24}[/tex]
Step-by-step explanation:
Since we have given that
Amount that Liam has = $250
Amount that he and his classmates spent on present for their teacher =$p
Number of students in which $p will split = 24
According to question,
Amount that left to Liam is given by
250 - [tex]\frac{p}{24}[/tex]
Hence, the required expression will be
250 - [tex]\frac{p}{24}[/tex]
(Hope this helps can I please have brainlist (crown)☺️)
shelby traveled 50 miles to her friends house every weekend until she found a shortcut now she travels 46 miles what is the percent of change
Answer:
8% decrease
Step-by-step explanation:
50 x 2 = 100
46 x 2 = 92
100 - 92 = 8
Evan is landscaping his backyard. The yard is shaped like a rectangle and measures 80 feet by 70 feet. He wants to spread topsoil evenly over the entire surface. One load of topsoil will cover 400 square feet, 4 inches deep. How many loads of dirt does Evan need in order to cover his entire yard?
A. 14
B. 16
C. 18
D. 20
What is the solution set for this inequality?
- 6x + 30 < -18
0x<-2
0x<&
Ox>-2
Ox>8
Answer:
x>8
Step-by-step explanation:
[tex]- 6x+ 30 < - 18 \\ - 6x < - 18 - 30 \\ - 6x < - 48 \\ \frac{ - 6x}{ - 6} < \frac{ - 48}{ - 6} \\ x > 8[/tex]
Please help me please
[tex]\huge \bf༆ Answer ༄[/tex]
The translation can be can be expressed as : -
A translation
up 8 units and left 7 units[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
what is the correct order of reasons to complete the proof??
Answer: Choice B
I, I, V, II
======================================================
Explanation:
When doing any proofs, we always repeat what is given to us. In this case, the given statements are
QT = RSQS = RTIt seems weirdly redundant to repeat these statements back to the teacher, but this is how all proofs start off. You state what is given and the reason is simply "given". So far the answer is narrowed down to choice B or choice C, due to the "statement I" listed twice like that.
From those statements, we build toward what we want to prove. Those two given statements tell us we have two pairs of congruent sides. If we could prove a third pair of sides are congruent, then we can use SSS which stands for "side side side". It turns out that we are more or less automatically given the third pair of sides in the form QR = QR, which is true by the reflexive property. This property says that any segment is congruent to itself. So we'll have statement V listed after statement I twice. The sequence so far is I, I, V. At this point, we can conclude that choice B must be the final answer. Sure enough, statement II involves SSS just like mentioned earlier.
This image shows that when a football is kicked, the nearest defensive player is 6 feet from the kicker’s foot. The height of the punted football, f(x), in feet, can be modeled by the equation. Round all answers to 2 decimals. ()=−0.0152 +1.25+2 a. (2 points) What is the maximum height of the punt?
Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.
The height of the punt, after x seconds, is given by:
[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]
It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].
The maximum value is the value of the function at the vertex, hence:
[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Applying the coefficients:
[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]
The maximum height of the punt is of 27.7 feet.
A similar problem is given at https://brainly.com/question/16858635
Carl is planting an herb garden. If his garden has 3 rows and he can plant 3 herbs in a row, how many herbs can he grow?
Answer:
He can grow 9 herbs.
Step-by-step explanation:
3rows x 3plant herbs per row = 9 herbs to grow
Hope this helps :)
Hi! ❤️ , im looking for some (accurate) help here.
ill give brainliest if able to.
Answer:
A
Step-by-step explanation:
70000 is 100 times greater than 700
Find the values for a, b, and c for this quadratic equation. 3x^2 - x - 1 = 0
Answer:
a = 3, b = -1, c = -1
Step-by-step explanation:
3x² - x - 1 = 0 ⇒ 3x² - 1x - 1 = 0
a = 3, b = -1, c = -1
Please Help, i am stuck on this question......
I need help I been here all day trying to solve this I'm good I reading not math
32,760 is the answer!!
3. Sandra earns P62,954 per month. Determine the following Percentage Amount of Deduction Whld Tax 24% SSS 1.4% Philhealth 1.1% SSS 1.4% Pag-ibig 0.2% Total Deduction Net Pay
Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.
Given that Sandra earns $ 62,954 per month, to determine the percentage of deductions the following calculations must be performed:
Withhold Tax 24% 62,954 x 0.24 = 15,108.96 SSS 1.4% 62,954 x 0.014 = 881.35 Philhealth 1.1% 62.954 x 0.011 = 692.49 Pag-ibig 0.2% 62.954 x 0.002 = 125.90 Total Deduction = 15,108.96 + 881.35 + 692.49 + 125.90 = 16,808.71 Net Pay = 62,954 - 16,808.71 = 46,145.29
Therefore, Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.
Learn more about quantities in https://brainly.com/question/25716934
Help pls will give brainlist
Answer:
should be c
Step-by-step explanation:
Answer:
B) is the answer I hope I could help