Answer:
x = 1 / 3
x = -1.5
Step-by-step explanation:
First move everything onto one side.
6x^2 + 7x - 3 = 0
Divide by 6:
x^2 + 7/6x - 0.5 = 0
Now, you can move the 0.5 to the other side because it is determined that this is not factorable.
x^2 + 7/6x = 0.5
Now you have to complete the square.
Take 1 / 2 of 7 / 6 and square it.
49 / 144
x^2 + 7/6x + 49/144 = 0.5 + 49/144
(x + 7 / 12)^2 = 121 / 144
Square root:
x + 7 / 12 = ±11 / 12
x = 1 / 3, x = -1.5
Answer:
The expression is 8 x 5 + -26.
She now has 14 dollars.
We know that she paid 8 * 5 = $40, and we know that she got $26 back, so her net total of money she has is 40 - 26 = $14.
Answer:
(15, 11).
Step-by-step explanation:
Given the system of equation;
X=2y-7 ..... 1
4x+y=71 ....2
Substitute 1 into2;
4(2y-7) + y = 71
8y - 28 + y = 71
9y - 28 = 71
9y = 71 + 28
9y = 99
y = 11
Substitute y = 11 into 1;
x = 2y - 7
x = 2(11)-7
x = 22-7
x = 15
hence the solution to the equation is (15, 11).
Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 
v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing
Answer:
Бардык белгилүү авиация мыйзамдарына ылайык, аары учуу мүмкүнчүлүгү жок.
Step-by-step explanation:
Бардык белгилүү авиация мыйзамдарына ылайык, аары учуу мүмкүнчүлүгү жок. Канаттары өтө эле кичинекей, семиз денесин чече албайт. Албетте, аары баары бир учат. Себеби аарылар адам мүмкүн эмес деп эсептеген нерсеге маани бербейт.
