Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2) x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Then
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
PLEASE HELP
A company makes steel rods shaped like cylinders. Each rod has a diameter of 8 centimeters and a height of 20 centimeters. If the company used 28,134.4 cm3 of steel, how many rods did it make?
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.
Please help me! What does X equal?
Answer:
x = 75
Step-by-step explanation:
X = 180 - 78 - 27 = 75
Answer:
The answer is 75
Step-by-step explanation:
I got this answer because i added 78 and 27 then i subtracted it from 180 because that was the interior angle of a triangle and i got 75.
KLMN is a Parallelogram. LK = 20 cm and KM= 24.
K
L
If KL MN is also a rectangle, find the following measures:
NM =
LN=
QM=
KN=
N
M
Answer:
NM =LK=20cm(side of parallelogram are equal)
LN=KM=24cm(diagonal of parallelogram are equal)
QM=1/2×24=12cm(diagonal bisect each other)
KN=√(24²-20²)=13.26cm(by Pythagoras theorem)
Christopher bought a car for $16,500. He paid a 4.5% sales tax for this car. How much did Christopher pay for the car in all? How much was the sales tax for the car he bought?
Answer:
$17242.50 is the total amount he paid. The sales tax is $742.50
Step-by-step explanation:
Solve for x. −12x+13>35 Drag and drop a number or symbol into each box to correctly complete the solution.
Answer:
x < -11/6.
Step-by-step explanation:
−12x + 13 > 35
-12x > 35 - 13
-12x > 22
Divide both sides by -12 and invert the inequality sign:
x < -22/12
x < -11/6.
HELP ASAP!
Jesse serve 13 pints of orange juice at her party. How many quarts of orange is that she serve? Jesse served ____ quarts and ____ pints.
Solve the system by substitution.
y = 5x
y = 9x + 4
Answer:
(-1, -5)
Step-by-step explanation:
[tex]\left \{ {{y=5x} \atop {y=9x+4}} \right.[/tex]
1. We must calculate x, for that we must substitute y, so we have:
5x=9x+4
2. Now we solve the equation.
5x-9x=4
-4x=4
x=-1
3. Now we must calculate y
y=5x
y=5(-1)
y=-5
And the answer is (-1, -5)
find the slope of the line that goes through the given points
1. (0,7) (0,-8)
2. (-7,9) (-18,9)
3. (-5,9)(7,3)
4. (-7,8)(8,-3)
find the slope of the line from the given equation
1. y=-3x-4
2. y=2x+1
3. y= 3/2x
4. y= 5/9x+10
PLEASEEE HELP ILL MARK BRAINLIST
Answer:
1st=2. (-7,9) (-18,9)
2nd=4. y= 5/9x+10
16 ÷ 22 + (6 x 2) - 8
Write a linear function for the data in each table using function notation.
Answer:
A. f(x) = 6.5xB. f(x) = 3x - 2Step-by-step explanation:
Table AThis is proportional relationship
The function is:
f(x) = 6.5xTable BThe slope is:
(10 - 7)/(4 - 3) = 3The y-intercept is:
10 - 4*3 = -2The function is:
f(x) = 3x - 2Answer:
A. f(x) = 6.5x
B. f(x) = 3x - 2
Step-by-step explanation:
At a restaurant, the cost for one breakfast taco and one glass of milk is $2.10.
The cost for two tacos and three glasses of milk is $5.15.
How much would it cost for 3 tacos and 4 glasses of milk
Answer: $7.25
Step-by-step explanation:
Let T = taco cost
Let M = milk cost
T + M = 2.10
2T + 3M = 5.15
Multiply the first equation by (-2) and add it to the second equation
-2T - 2M = -4.20
2T + 3M = 5.15
M = 0.95
Plug this value for M in to the first equation
T + 0.95 = 2.10
T = 1.15
So a taco costs $1.15 and the milk costs $0.95
1.15 * 3 = 3.45
0.95 * 4 = 3.80
3.45 + 3.80 = 7.25
Someone please help
Which of these statements about gross income and net income is true?
A. Gross income is a tax on all income that a worker earns, and net income is a tax paid by an employer based on a worker's wages.
B. Gross income is a tax paid by an employer based on a worker's wages, and net income is a tax on all income that a person earns.
C. Gross income is the amount an employee is paid after deductions and taxes, and net income is the total amount an employee earns before deductions are applied.
D. Gross income is the total amount an employee earns before deductions are applied, and net income is the amount an employee is paid after deductions and taxes.
Answer:
D. Gross income is the total amount an employee earns BEFIRE deductions...
. Predict how many tiles Figure 100 will
have? The rule is y=6x+5
Jason,Jennifer, Josh, and Jill went to a toy store. Jason spent $11.02. Jennifer spent $10.20. Josh spent 12.75. Jill spent 12.80. Which list shows the amounts spent in order from greatest to least
Answer:
(from greatest to least)
Jill (12.80) , Josh (12.75) , Jason ( 11.02) , Jennifer (10.20)
Step-by-step explanation:
Jason = 11.02
Jen = 10.20
Josh = 12.75
Jill = 12.80
Least = Jennifer
Greatest = Jill
Jill (12.80) , Josh (12.75) , Jason ( 11.02) , Jennifer (10.20)
Answer: Jill (12.80), Josh (12.75), Jason (11.02), and then Jennifer (10.20)
Step-by-step explanation: Amounts of money spent from greatest to least!
Help me please answer thanks
Is 9x negative or positive?
-9x + 17x + -8x
Answer:
-9x is negative but the answer of the whole problem would be 0.
i need help its due in 1 hour (ALL MY POINTS)
Answer:
Area : 27.5
Perimeter : 20
Step-by-step explanation:
All sides of a regular pentagon have the same length
1 side = 4
4x5 = 20 = Perimeter
Pentagon area formula :
1/4(sqrt(5(5+2sqrt(5)))x)
Plug x in (side length)
27.53
round to nearest tenth
27.5
this is easy for some ppl but not me
Answer:
[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]
Hope it will help :)
Answer:
-160/93
Step-by-step explanation:
reduce the expression, as long as this is possible, by canceling out common factors. Then you get -160/93
The gas tank in Manny's car holds 25.05 gallons of gasoline. The car gets 36.05 miles to the gallon.
How many miles can Manny drive on a full tank of gasoline?
A. 875.0025 miles
B. 901.8000 miles
C. 903.0525 miles
D. 930.7500 miles
Answer:
C. Hope I'm right :)
Step-by-step explanation:
Because 36.05 x 25.05 = 903.0525
Hope I Helped :)
Answer:
ok here is the answer, i didnt copy.
Step-by-step explanation:
the answer is c because search it lol
LAST CHANCE!
GIVING 100 POINTS AND BRAINLIEST TO WHOEVER ANSWERS THIS QUESTION
WHATS 5+9+9
Answer:
23
Step-by-step explanation:
4. The quadratic function f (x) = (x + 1)2 – 4 is shown on the graph below.
What is the equation for the axis of symmetry?
Answer:I DO NOT KNOW
Step-by-step explanation:FIND OUT YOURSELF LOL
express as a fraction in simplest form 4 to 36
Answer:
Step-by-step explanation:
4/36/2/2
2/18/2/2
1/9
Will mark brainliest
Answer:
Step-by-step explanation:
1a. 2x - 4y = 2
-x + 4y = 3
x = 5
-5 + 4y = 3
4y = 8
y = 2
(5, 2)
1b. 2x + 3y=1
-2x + 2y = -6
5y = -5
y = -1
2x - 3 = 1
2x = 4
x = 2
(2, -1)
2a. x + 2y = 4
2x - 5y = -1
-2x - 4y = -8
2x - 5y = -1
-9y = -9
y= 1
2x - 5 = -1
2x = 4
x = 2
(2, 1)
2b. 4x + 2y = 4
x - 2y = -5
5x = -1
x= -1/5
-1/5 - 2y = -5
-2y = -4 4/5
y= 12/5
(-1/5, 12/5)
3. 5x + 3y = 85
11x + 5y = 163
25x + 15y = 425
-33x - 15y = -489
-8x = -64
x = 8 regular
5(8) + 3y = 85
40 + 3y = 85
3y = 45
y = 15 mini bouquets
(8 regular, 15 mini bouquets)
4a. 6x + 12y = -6
18x - 12y = - 162
24x = -168
x = -7
3(-7) - 2y = -27
-21 - 2y = -27
-2y = -6
y= 3
(-7, 3)
4b. 3(6 -y) - 2y = 38
18 - 3y - 2y = 38
18 - 5y = 38
-5y = 20
y = -4
x = 6 + 4
x = 10
(10, -4)
What is the answer to - (2 - 7x) if you simplify
Answer:
It would be
-2+7x
Step-by-step explanation:
Please I need help :(
Answer:
it's D you multiply everything by 2
Expand 4(x + 2).
4(x + 2) =
Answer:
[tex]4x + 8[/tex]
Step-by-step explanation:
Hi!
So we have to use the distributive property here and distribute 4 to both the x and the 2.
So we do
[tex](4*x)+(4*2)[/tex]
Simplify further:
[tex]4x + 8[/tex]
That's your answer
there are 54 tickets to be shared and divided to section Z and section Y in the ratio 4:5. How many tickets will section Y received?
A.20
B.24
C.30
D.34
Answer:
C.30
Step-by-step explanation:
total ratio=9
y=[tex]\frac{5}{9}[/tex]×54=30
Almost 9 over 11 of the total electricity supplied to a town is used in farms and houses. Determine the decimal equivalent of 9 over 11.
Use words to explain if the decimal terminates or repeats.
Answer: .81
Step-by-step explanation: divide 9 and 11
Please, i need this done fast... 75 points.
Find WX, ST = 10x + 5, WX = 7x + 8, UV = 8x - 1
Answer:
WX=29
Step-by-step explanation:
ST=10x+5
WX=7x+8
UV=8x-1
since SW=UW, WX is centered between UV and ST
(10x+5)-(7x+8)=(7x+8)-(8x-1)
3x-3=-x+9
4x=-12
x=3
substitute
WX=7(3)+8=29
Answer:
29 lol i took this st00pid test and got it right :)
Step-by-step explanation:
-4x^3 times 2y^-2 times 5y^5 times x^-8
Answer:
-64x X 4y X 3125y X x
-64X^2 X 1250Oy^2
Step-by-step explanation:
Answer:
-40y^3 / x^5
Step-by-step explanation:
Apply exponent rules
a^b * a^c = a^b+c
a^-b = 1/a^b