Answer:
1 positive solution (and 1 negative)
the greatest solution is about 2.87
Step-by-step explanation:
so, it is
x² + 2x + 7 = 21
x² + 2x - 14 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -14
x = (-2 ± sqrt(2² - 4×1×-14))/(2×1) =
= (-2 ± sqrt(4 + 56))/2 = (-2 ± sqrt(60))/2 =
= (-2 ± sqrt(4×15))/2 = (-2 ± 2×sqrt(15))/2 =
= -1 ± sqrt(15)
x1 = -1 + sqrt(15) = 2.872983346... ≈ 2.87
x2 = -1 - sqrt(15) = -4.872983346...
Determine which points are a solution to the system of inequalities.
the answer choices are:
a. (0,0)
b. (4,1)
c. (3,-2)
d. (2,0)
e (4,-4)
f (1,3)
Answer:
I think it's e 4 -4
Step-by-step explanation:
hope this helps
Suppose $ 1,250 is placed in a savings account over 2 years. Find the interest earned if the rate is 4.5%
Answer: $112.50
Step-by-step explanation:
The Simple interest will be calculated using:
= Principal × Rate × Time
= 1250 × 4.5% × 2
= 1250 × 0.045 × 2
= $112.50
Therefore, the interest earned will be $112.50
Answer:$112.50
Step-by-step explanation:
write a quadratic equation with the roots 1/2 and -5
x = 1/2 or x = -5
2x - 1 = 0 or x + 5 = 0
(2x-1)(x+5) = 0
2x² + 10x - x - 5 = 0
2x² + 9x - 5 = 0
Hope it helps!
Answer:
2[tex]x^{2}[/tex] + 9x - 5 = 0
Step-by-step explanation:
// Use the Vijet's theorem,
// note that the kofficient before [tex]x^{2}[/tex] = 1
Sum of the roots is:
1/2 + (-5) = - 4,5
Product of the roots is:
0,5 * (-5) = - 2,5
Formation of quadratic equation:
[tex]x^{2}[/tex] - (sum of the roots) x + product of the roots = 0
[tex]x^{2}[/tex] - (-4,5) * x + (-2,5) = 0
[tex]x^{2}[/tex] + 4,5x -2,5 = 0
// multiply both sides by 2
2[tex]x^{2}[/tex] + 9x - 5 = 0
Make me the brainliest ;)
At a real estate agency, an agent sold a house for $389,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 30% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
I fr don’t know
Step-by-step explanation:
If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle
Answer:
35cm
Step-by-step explanation:
Given data
Length= 21cm
Width= 28cm
Diagonal= ???
Applying Pythagoras theorem
D^2= L^2+W^2
D^2= 21^2+28^2
D^2= 441+784
D^2= 1225
D= √1225
D= 35cm
Hence the diagonal is 35cm
Angle ABC is a straight angle. The measure of angle ABD is x. What is the value of x?
Answer:
45 degrees
Step-by-step explanation:
A straight angle is equal to 180, so subtract 135 from 180
Answer:
45
Step-by-step explanation:
please help! how do you do this question?
9514 1404 393
Answer:
(0.75, -1)
Step-by-step explanation:
The center of the circle is at the midpoint of any diameter segment. The midpoint formula can be used.
C = (A +B)/2
C = ((-1, 1) +(2.5, -3))/2 . . . . fill in A and B
C = (-1+2.5, 1-3)/2 . . . . . . . add the coordinates
C = (1.5, -2)/2 . . . . . . finish the addition; next, divide by 2
C = (0.75, -1) . . . . . . the center of the circle
A meal costs $30 before tax and tip.
There is a 7% sales tax. After the tax, a 20% tip is
added.
What is the total after tax and tip?
Answer:
$38.1
Step-by-step explanation:
Tax: 30*0.07 = 2.1
Tip: 30*0.2 = 6
Total: 30 + 2.1 + 6 = 38.1
A flower vase bought for Rs. 72 and sold for Rs. 63. Find the loss percent.
Answer:
12.5% is loss....
hope it helps.
Answer:
the lost percentage is 14.28%
Step-by-step explanation:
1 - (72÷63) = -0.1428 x 100% = -14.28 %
(Please heart the answer if you find it helpful, it's a motivation for me to help more people)
-12 + 2t = - 14
Solve for t
Answer:
-1
Step-by-step explanation:
-12 + 2t = -14
12 + -12 + 2t = -14 + 12
2t = -2
2t/2 = -2/2
t = -1
OOPS my submitted answer was wrong.
Submitting this is so you can give other person points! :]
Sam bought 6 pens for an unknown price plus a
backpack. If he spent a total of $28.50, write an
equation to find the cost of each pen.
Round 13,649 to the nearest thousand
Answer:
14,000
Step-by-step explanation:
13,649
the 6 in the hundredths place rounds up therefore the 3 in the thousands place turns into a 4
Find the midpoint of the segment with the following endpoints.
(8,2) and (1,10)
Answer:
I am not sure but i think the midpoint is 4.5 and 6
Which value is the solution for this equation
2/3(6h-9)=6
A) -1
B) 1
C) 3
D) 5
Answer:
h = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2/3(6h - 9) = 6
Step 2: Solve for h
[Division Property of Equality] Divide 2/3 on both sides: 6h - 9 = 9[Addition Property of Equality] Add 9 on both sides: 6h = 18[Division Property of Equality] Divide 6 on both sides: h = 3how many solutions does the equation 5x+13=13 have
Answer:
It only has one solution
Step-by-step explanation:
Halppppppppppppppppppp
Answer:
Yes
Step-by-step explanation:
[tex]y\leq 3x+9\\\\8\leq 3(7)+9\\\\8\leq 21+9\\\\8\leq 30[/tex]
Yes, the given point makes the inequality true. We end up with a true statement.
Hope this helps.
Evaluate the expression when y=6 and x=9.
x+7y
Answer:
9+(7)(6)
9+42=51
Step-by-step explanation: hope this help
five litres of paint costs R575 .Work out the cost of fifteen litres of paint
Answer:
first of all learn how to spell liters
1725
Step-by-step explanation:
15 liters of pain will cost Rs.225
What is multiplication?Multiplication is a process of adding a number repetitively. Mathematically, we can write -
m = a x b
Given is that the 5 liters of paint costs Rs. 75.
5 liters of paint costs Rs. 75.
1 liter of paint will cost Rs. (75/5)
15 liters of pain will cost Rs. (75/5 x 15) = 75 x 3 = Rs. 225
Therefore, 15 liters of pain will cost Rs.225
To solve more questions on cost estimation, visit the link below
https://brainly.com/question/30521727
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Solve this system of equations.Write your answer as an ordered pair.3x+4y=36 y=-1/2x+8
Answer:
x = 4
y = 6
Step-by-step explanation:
[tex]\left \{ {{3x+4y=36} \atop {\frac{1}{2}x+4y=8 }} \right.[/tex] rewrite the equations and multiply bottom equations by -4
[tex]\left \{ {{3x+4y=36} \atop {-2x-4y=-32}} \right.[/tex] add both equations together
x = 4
then, input x=4 into equation 3x+4y=36:
3(4)+4y=36 (simplify)
12+4y=36 (subtract 12 from both sides)
4y=24 (divide both sides by 4)
y=6
1/8 = 2/5 times X . What is X
Answer: 5/16
Step-by-step explanation:
Answer:
0.0125
Step-by-step explanation:
1/8=2/5x
Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.
Simplify the expression -1x-5(2x-y)-3y
Answer:
-11x + 2y
Step-by-step explanation:
The fisherman pays a contractor to repair his dock. The charges are $1200 for lumber, $60 for sales tax, and $750 for labor. The fisherman pays $260 down and finances the remainder. There is a finance charge of $41.06.
Answer:
Im guessing we have to add these, considering you did not put the rest of the question. In that case, the answer would be 2311.06
Step-by-step explanation:
cual numero es mayor q 9/5
Answer:
9/5 es mayor que 4/5 Realmente espero que esto te ayude
Y=-x-2
2x-3y=-9
Solve for x and y
Answer:
y = - x - 2
2x - 3y = - 9
put value of y
2x - 3(-x - 2)= -9
2x +3x +6 = - 9
5x = - 9 - 6
5x = - 15
x = - 3
now put x in y = - x - 2
y = - (-3)-2
= 3-2
y = 1
What is the name for a savings account in which money must stay deposited for a specific amount of time? A. Traditional savings account B. Certificate of deposit C. Money market account D. Retirement account
Answer:
B. Certificate of deposit
Step-by-step explanation:
in traditional savings account you can take the money out anytime (usually up to 5 times a month)
in retirement account (well this could include 401k ,etc..)
Answer: B
Step-by-step explanation:
Set up a system of equations for the following situation: The girls basketball team spent a total of $1,590 on new basketballs and sweat suits for the players. If each new basketball cost $30 and each sweat suit cost $90, how many of each did the team purchase? *
Answer:
there are 13 players in a team
Determine the intercepts of the line:
y = -9x - 14
Answer: (-14/9, -14) or (-1.5, -14)
Step-by-step explanation:
y = -9x - 14
the coefficient without a variable in a slope-intercept equation is the y-intercept -- in this case, it is -14
to find the x intercept you use the equation given, set y to equal zero and Solve for x
- Your new equation should be: 0 = -9x - 14
Our new goal is to isolate the x
Start by doing the inverse of the coefficient, so add 14 to both sides
- Your new equation should be: 14 = -9x
Theres still a -9 attached to the x and the -9 is attached by multiplication -- so now you do the inverse function and divide both sides by -9
Your final answer: -14/9 = x or -1.5 with a repeating decimal
Can someone please help me with this I will give brainliest
Answer:
Step-by-step explanation:
2(2x +4) - 2x = x + 18
4x +8 -2x = x +18
2x -x = 18-8
X = 10
Put the value of x in both side
Left side *+*+*+*+*+
2 ( 2*10+4)-2*10
48-20 = 28
Right side +*+*+*+*+*
X + 18
10+ 18 = 28
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the sum of the number and 5 is 12
Answer:7
Step-by-step explanation: x+5=12 solve for x = 7
Answer:
"a number" = 7
Step-by-step explanation:
let "a number" = x.
x + 5 = 12
Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Subtract 5 from both sides.
x + 5 (-5) = 12 (-5)
x = 12 - 5
x = 7
7 is your answer.
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Plz help with all 3 questions i will give Brainliest
Answer:
Step-by-step explanation:
8) entire cost of meal = m
m = 14.68 + 14.68
= 29.36
Solution $29.36
9) Let Elijah's height = h
h + 6 = 48
h = 48 - 6
Solution 42 inches
10) x - 15 = 20
x = 20 + 15
Solution 35 ounces