Answer:
A = -2
B = -8
Step-by-step explanation:
A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.
Then if we have the equations:
A*x- y = 8
2*x + y = B
We want to find A and B such that both equations are exactly the same thing.
Notice that in the first one we have negative y, while in the second we have positive y.
Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:
A = -2
And B needs to be minus the corresponding therm in the other equation, then B = -8.
Then the system becomes:
-2*x - y = 8
2*x + y = -8
We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:
y = -8 - 2*x
y = -8 - 2*x
So both equations are exactly the same thing, meaning that we have infinitely many solutions.
If 9 10 is multiplied by 8 9 , will the product be greater than either of the two factors? Use the drop-down menus to explain. The product Choose... be greater than either of the two factors. When multiplying a fraction by a fraction, the product is Choose... than the lesser factor.
Answer:
No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.
Step-by-step explanation:
Jerome wants to walk to school. He lives 2 and 1/4 miles away. So far, he has walked 7/8 of a mile. How far does he have left to go?
Answer:
2 miles
Step-by-step explanation:
Find the value of x. Write your answer in simplest form.
- 2x + 5 = 4
Need help solving
Answer:
x = 1/2 or 0.5
Step-by-step explanation:
-2x + 5 = 4
-2x = 4 -5
-2x = -1
-1(-2x = -1)
2x = 1
x = 1/2 or 0.5
Nasim wants to buy a bracelet for his sister that costs $20 and he has a 20% off coupon. What is the discount cost of the bracelet?
Answer:
You get $4 off, so the bracelet will cost $16.
Step-by-step explanation:
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1%. What will be the account balance after 20 years?
A: $3,600
B: $3,400
C: $3,660
D: $4,000
I included a picture of what I need help on.
Answer:
x = 4
Step-by-step explanation:
In similar triangles, the ratios of the length of the corresponding sides are equal.
[tex]\frac{CD}{ED}=\frac{GD}{FD}\\\\[/tex]
[tex]\frac{48}{5x-2}=\frac{40}{2x+7}\\[/tex]
Cross multiply,
48*(2x + 7) = 40*(5x - 2) {use distributive property: a*(b+c)=(a*b)+ (a*c)}
48*2x + 48*7 = 40*5x - 40*2
96x + 336 = 200x - 80 {Subtract 96x from both sides}
336 = 200x - 96x - 80
336 = 104x - 80 {Add 80 to both sides}
336 + 80 = 104x
416 = 104x {divide both sides by 104}
416/104 = x
x = 4
Ellie works at a camp . Her age is a multiple of 6 and a multiple of 8 . What is the youngest age Ellie could be ?
Answer:
24
Step-by-step explanation:
Write down 6 and 8 on a piece of paper. Write down all the multiples of 6 (6, 12, 18...) and do the same for 8 (8, 16, 24). Stop at the 12th multiple. (For six it's 72, and for 8 it's 96. ) Go over all the multiples and see if there are any answers that are alike. (Sometimes there isn't any so keep the pattern going.) For this example, some multiples that they share are 24, 58, and 72. The one that is the lowest is 24. Ellie is 24.
Part III: For each polynomial, determine the degree and write the polynomial in descending
order. (4 points: 2 points each)
A. -4x2 – 12 + 11x4 B. 2x5 + 14 - 3x4 + 7x + 3x3
Answer:
1,4
2,5
11x4-4x2-12
2x5-3x4+3x3+7x+14
Mrs. Simpson is frosting circular sugar cookies. Each cookie is 7 cm in diameter. How many square inches will she need to frost one dozen cookies?
Answer:
51.92 square inches
Step-by-step explanation:
Area of a circle = (pi)(r^2)
if the diameter is 7, the radius is 3.5
A = 3.14 x 3.5
A = 10.99 cm^2 for one cookie
10.99 x 12 for a dozen = 131.88 cm^2
converting cm to inches, you divide by 2.54
131.88/2.54 = 51.92 square inches.
LMK if you have questions.
Sarah and three of her classmates entered a story they wrote into a contest at the mall. Their team won, and they received a cash prize.
Each person won $21.25, so how much was the entire prize?
Answer:
Step-by-step explanation:
4 × $21.25 = $85
What is the equation of the line that passes through the point (5, -7) and has a
slope of o?
Answer:
y = -7
Step-by-step explanation:
To find the y-intercept, you need to plug the coordinates into the equation.
y = 0x + b
-7 = 0(5) + b
-7 = b
Hi, may someone help me on this plz
Answer:
bx + bc = d would be checked as yes
Step-by-step explanation:
if you follow pemdos it would go as the following:
b(x+c) = d
b(x) + b(c) = d
bx + bc = d
PLSS HELP I WILL GIVE BRAINLIEST PLSSS
what number is 0.001 more than 437.999?
Answer:
Answer B. : 438 is 0.001 more.
4w2 + 3W
- 1
5w - 2
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Question:
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Step-by-step explanation:
Given
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Required
Determine an expression for the area
Area is calculated as:
[tex]Area = Length *Width[/tex]
[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]
Expand
[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]
Collect like terms
[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Caleb and 3 friends are sharing 1/6 quart of milk equally. What fraction of a quart of milk does each of the 4 friends get? Each friend gets blank of a quart of milk.
Answer:
the fraction of quart of milk does each of the four friend get is 1 ÷ 24
Step-by-step explanation:
The computation of the fraction of quart of milk does each of the four friend get is shown below:
= Sharing quart of milk × fraction of friends
= 1 ÷ 6 × 1 ÷ 4
= 1 ÷ 24
Hence, the fraction of quart of milk does each of the four friend get is 1 ÷ 24
Running Problem, Please Help!!!
Answer:
400
Step-by-step explanation:
consider the system of equations
y = 2/3 x + 1
y = x
what is the solution to the system?
A. (0,0)
B. (0,1)
C. (1,1)
D (3,3)
Answer:
Use your resources wisely
Step-by-step explanation:
Answer:
[tex] \frac{2}{3} x + 1 = x \\ \frac{1}{3} x = 1 \\ x = 3 \\ y = 3[/tex]
X=3,y=3
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel?
Answer:
4680 km / hour
Step-by-step explanation:
You can do this with a method called dimensional analysis. (I think you should check the speed. Are you sure it is that fast?)
[tex]\frac{1300 m}{sec}*\frac{1 km}{1000 m} * \frac{3600 sec}{1 hr}\\[/tex]
1.3 * 3600 = 4680 km/hour
Use the simple interest formula to find the interest earned and the ending balance. I = Prt
1. $48,000 at 3% for 6 years
Answer:
$8,640
Step-by-step explanation:
I = Prt
I = (48000)(0.03)(6)
I = 8640
Please help me with this question please...
Damon measured his bedroom and the length measured 5.6 meters. Given that I meter = 3.28 feet, what is the length of Damon's room in feet? Ο Α. 0.59 feet о В. 1.47 feet O C. 5.6 feet D. 18.37 feet
Answer:
D) 18.37 feet
Step-by-step explanation:
5.6 x 3.28 = 18.37 feet
The eight segments from the center of a cube to the eight corners of the cube form the edges of six pyramids. If one edge of the cube is 4 in, what is the volume of each pyramid, to the nearest cubic inch?
Here's link to the answer:
tinyurl.com/wpazsebu
The height of an overhand volleyball serve can be modeled as h=-16t^2+20t+6. After how many seconds is the ball 11 feet.
Answer:
0.9043secs and 0.3456secs
Step-by-step explanation:
Given the height of an overhand volleyball modeled as h=-16t^2+20t+6.
If the height is 11feet, then;
11 = -16t^2+20t+6.
-16t^2+20t+6 - 11 = 0
-16t^2+20t-5 = 0
Multiply thriugh by -1
16t^2-20t+5 = 0
Factorize
t = 20±√20²-4(16)(5)/2(16)
t = 20 ±√400-320/32
t = 20 ±√80/32
t = 20 ±4√5/32
t = 20±8.94/32
t = 28.94/32 and 11.06/32
t = 0.9043 and 0.3456
Hence the required time are 0.9043secs and 0.3456secs
in the first quadrant you start at 4,6 then u move 6 units right and 5 units up
Answer:
10, 11
Step-by-step explanation:
4 plus 6 = 10
6 plus 5 = 11
Find the length of the third side. If necessary, write in simplest radical form. 10 6
Step-by-step explanation:
10²+6²
100+36=136
square root of 136
Please help use 3.14 for pi
Plz help
Rewrite the fraction in the sentence below as a percentage.
In a certain class,
23/25
of the students got problem 10 wrong on Friday's math test.
(Aye, aye, captain)
I can't hear you
(Aye, aye, captain)
Oh Who lives in a pinneapple under the sea?
(Spongebob Squarepants)
Absorbent and yellow and porous is he?
(Spongebob Squarepants)
If nautical nonsense be something you wish?
(Spongebob Squarepants)
Then drop on the deck and flop like a fish
(Spongebob Squarepants)
Ready?
(Spongebob Squarepants)
(Spongebob Squarepants)
(Spongebob Squarepants)
(Spongebob Squarepants)