Answer:
[tex]x_{1} =-5\\and \\x_{2} =-3[/tex]
Step-by-step explanation:
Solve by using factoring ------->
rewrite the expresion
x^2+8x+15=0
x^2+5x+3x+15=0
factor out x from the expression
x^2+5x+3x+15=0
xx(x+5)+3x+15=0
xx(x+5)+3(x+5)=0
factor out x+5 from expression
(x+5)x(x+3)=0
when the product of factors equals 0, at least one factor is 0
x+5=0
x+3=0
solve the equation for x
x = -5
x = -3
the equation has 2 solutions
[tex]x_{1} =-5, x_{2} =-3[/tex]
Step-by-step Explanation:Quadratic formula
[tex]x=\frac{-8+\sqrt{8^{2} -4x1x15} }{2x1}[/tex]
any expression multiplied by 1 remains the same
[tex]x=\frac{-8+\sqrt{8^{2}-4x15 } }{2}[/tex]
evaluate the power
[tex]x=\frac{-8+\sqrt{64-4x15} }{2}[/tex]
multiply the numbers
[tex]x=\frac{-8+\sqrt{64-60} }{2}[/tex]
subtract the numbers
[tex]x=\frac{8+\sqrt{4} }{2}[/tex]
calculate the square root
[tex]x=\frac{-8+2}{2}[/tex]
write solution with a + sign and a - sign
[tex]x=\frac{-8+2}{2} \\x=\frac{-8-2}{2}[/tex]
calculate the value
[tex]x=-3\\x=-5[/tex]
the equation has 2 solutions
[tex]x=-3\\x=-5 \\and\\x_{1} =-5\\x_{2} =-3[/tex]
David has $15 to spend at the gourmet candy store. He wants to buy gummy bears and jelly beans. Gummy bears are $5.25 per pound and jelly beans are $3.90 per pound. If David already has `1\frac{3}{4}` pounds of jelly beans, how many pounds of gummy bears can he buy?
Answer:
he can get 1224 gummy bears
Step-by-step explanation:
i 324 need 22432 po1n72
what is 1,300 divided by85
Answer: 15
Step-by-step explanation:
260
Simplify ———
17
Final result :
260
——— = 15
17
Help please ! !!!!!!!!!
A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible lengths (in whole inches) for the third side?
Answer:
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Step-by-step explanation:
For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.
Hence:
She has two sides of length 18 inches and 27 inches
Let the third side = x
Hence:
a) 18 + 27 > x
45 > x
b) 18 + x > 27
x > 27 - 18
x > 9
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Function or Not a Function? The above is...
Answer:
function
Step-by-step explanation:
the input is not repeated
Estimated the quotient 3,704 divided by 53
Answer:
69.88 or 70 units of whatever it is.
Step-by-step explanation:
Quotient means product so that's it!
(Product means solution)
((Solution means answer))
(((Answer means solve)))
((((Solve means simplify the equation to get the answer))))
(((((simplify the equation to get the answer means- how do you not get it)))))
please give me brainliest
PLEASE PLEASE HELP
Consider two parallel line segments, AB and CD in a plane.
The perpendicular bisectors of these line segments are
A. Intersecting
B. Parallel
C. Perpendicular
and if the measurements of the first bisector between AB and CD is 6 cm long the segment of the second bisector between both line measures
A. 6 cm
B. 6 in
C. 3 in
D. 3 cm
help help help help
Answer:
I wanna say the first is direct and the second is partial.
Find the quotient of 2 1/2 divide 5/8
See the attachment for the problem
Answer:
A) No solution.
B) -2, 1, 2
C) 2, 1, - 2
D) Infinite number of solutions
Step-by-step explanation:
A) 2x + 5y - z = -2
3x - 2y + z = 4
-x + 7y - 2z = 2
Let's add eq(1) and eq(2) to eliminate z.
2x + 3x + 5y - 2y - z + z = -2 + 4
5x + 3y = 2 - - - (eq 4)
Let's multiply eq(2) by 2 and add to eq(3) to eliminate z.
6x - x - 4y + 7y + 2z - 2z = 8 + 2
5x + 3y = 6 - - -(eq 5)
Subtracting eq(4) from eq(5) gives;
0 = 4
This is inconsistent and thus the system of equation has no solution.
B) 4x + 5y + 3z = 3
-3x + 4y - z = 8
5x + 3y + 2z = -3
Multiply eq 2 by 3 and add to eq 1 to eliminate z;
4x - 9x + 5y + 12y + 3z - 3z = 3 + 24
-5x + 17y = 27 - - - (eq 4)
Multiply eq 2 by 2 and add to eq 3 to eliminate z;
5x - 6x + 3y + 8y + 2z - 2z = -3 + 16
-x + 11y = 13 - - - (eq 5)
Multiply eq (5) by -5 and add to eq 4 to get;
17y - 55y = 27 - 65
-38y = - 38
y = 1
Putting 1 for y in eq 5 gives; x = -2
Putting x = - 2 and y = 1 in eq 1 gives;
z = 2
C) 4x - 3y + 2z = 1
-2x + 3y - 2z = 3
2x - 3y + 3z = -5
Solving this equation simultaneously via a calculator gives;
x = 2, y = 1, z = - 2
D) 2x + 3y - z = -2
x - 9y + 2z = 8
-x - 12y + 3z = 10
Add eq(2) to eq (3) to get;
-21y + 5z = 18 - - - (eq 4)
Multiply eq 2 by 2 and add to eq 3 to get;
-30y + 7z = 26 - - - (eq 5)
From eq 4, z = (18 + 21y)/5
Put this in eq 5 to get;
-30y + 7(18 + 21y)/5 = 26
-30y + 126/5 + 147y/5 = 26
Solving this leads to infinite number of solutions
A household item uses 321 watts of electricity. This item is used for 27 hours each week. How much CO2 will be produced each week from this item?
This question is incomplete, the complete question is;
A household item uses 321 watts of electricity. This item is used for 27 hours each week. How much CO2 will be produced each week from this item? (assume 1.37 pounds of CO2 is produced per KWH of electricity used)
Answer: 11.87 lbs of CO2 will be produced each week from this item
Step-by-step explanation:
Given that;
Average wattage Wattage of the item = 321 watts
Time used = 27 hours each week
CO2 produced each week = ?
so;
Total electricity consume = 321 × 27 = 8667 watt = 8.667 kWh
given that; 1.37 pounds of CO2 is produced per KWH of electricity used
hence; CO2 generated by our item will be;
⇒ 8.667 kWh × 1.37
= 11.87 lbs
Therefore, 11.87 lbs of CO2 will be produced each week from this item
HELP ME WITH THIS QUESTION PLZ!!
The Answer Is:
Choice 3
Answer:
Its C
Step-by-step explanation:
It Says in the graph the arrow point moves 2 points, which represent the hours then it stays the same in distance, however the hour point move 2 units, meaning 2 hours went by, then it moves one more unit up.
Pls help I’m failing math
Answer:
No. ADDED: It is not proportional>
Tyler does not charge a constant rates. The rates are not equal because his rate varies. $12, $12, $15, $13
Step-by-step explanation:
Write the ratio of the first measurement to the second measurement. Compare in millimeters. Diameter of ball A:33 mm. Diameter of ball B: 5.4 cm
Answer:
the ratio of the first measurement to the second measurement is 11 / 18 or 11 : 18
Step-by-step explanation:
Given that;
diameter measurement of ball A = 33 mm
diameter measurement of ball B = 5.4 cm
Now, we convert the unit of measurement of ball B from centimeter to millimeter
we know that 1 cm = 10 mm
so 5.4 cm = x mm
x mm = 5.4 × 10 = 54 mm
therefore, diameter measurement of ball B is 54 mm.
Now, the ratio of the first measurement to the second measurement will be;
⇒ 33 / 54
we simplify the fraction
⇒ 11 / 18 or 11 : 18
Therefore, the ratio of the first measurement to the second measurement is 11 / 18 or 11 : 18
Find the value of x
Answer:
67.5
Step-by-step explanation:
Sum of Interior Angles of Pentagon = 540 (5-2) × 180
148 + 112 + 10 + 2x + 2x = 540
270 + 4x = 540
4x = 540 - 270
4x = 270
x = 270/4
x = 67.5
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300th tenths equals to how many hundreds it is true
Rowdy will be sent to coca so
Answer:
3,000.
Step-by-step explanation:
In order to know the number that equals 300th tenths, the given number has to be multiplied by ten. Therefore, the following calculation has to be done:
300 x 10 = X
3,000 = X
As can be seen, the multiplication of 300 by 10 gives as a result the number three thousand. Therefore, the number that equals 300th tenths is 3,000.
What is the value of a^2 + 3b + c - 2d, when a = 3, b = 8, c = 2, and d = 5?
Answer:
25
Step-by-step explanation:
'. a=3
b=8
c =2
d=5
so
3^2+3(8)+2-2(5).
9+24+2-10
=25
Fill in the missing numbers to find two equivalent fractions 4/5 please help !!
Determine each number by writing a proportion. Round to the nearest tenth if necessary.
What is 5% of 40?
Answer:
2
Step-by-step explanation:
Write the proportion. You do 40x5=200. 200/100=2.
Which type of angle is below? > )) right acute straight obtuse
Answer:
A right angle
Step-by-step explanation:
There is a perfect box sitting on the angle.
Answer:
right angle
Step-by-step explanation:
because a right angle is 90 degree corresponding quarter turn.
In the equation below, a and b are constants. If a = b, what is the value of x in terms 2^z/a and 8^y/b
Answer:
Hi how are you doing today
Kyra needs to buy 6 pens and some colored pencils for school. He has $25.00 to spend. If the pens cost $3.50 each, how much does he have left to spend on colored pencils?
Answer:
$21.50
Step-by-step explanation:
$25.00
- 3.50
-----------
$21.50
Answer:
4 dollars
Step-by-step explanation:
3.50 x 6 is 21 Dollars leaving Kyra with 4 dollars for color pencils
Jefferson is plotting the vertices of an isosceles triangle on a coordinate graph. He has plotted the two points shown. Where would he plot the three point?
Answer:
4,2
Step-by-step explanation:
Answer:
It is 4, 2
Step-by-step explanation:
Trust me
Which expression is equivalent to 1/4 - 3/4 x?
Answer:
1/4 (1 - 3 x)
Step-by-step explanation:
If f(x) is an exponential function where f(2.5)=26 and f(6.5)=81, then find the value of f(12), to the nearest hundredth.
Given:
f(x) is an exponential function.
[tex]f(2.5)=26[/tex]
[tex]f(6.5)=81[/tex]
To find:
The value of f(12), to the nearest hundredth.
Solution:
The general exponential function is
[tex]f(x)=ab^x[/tex]
For, x=2.5,
[tex]f(2.5)=ab^{2.5}[/tex]
[tex]26=ab^{2.5}[/tex] ...(i)
For, x=6.5,
[tex]f(6.5)=ab^{6.5}[/tex]
[tex]81=ab^{6.5}[/tex] ...(ii)
Divide (ii) by (i).
[tex]\dfrac{81}{26}=\dfrac{ab^{6.5}}{ab^{2.5}}[/tex]
[tex]\dfrac{81}{26}=b^4[/tex]
Taking 4th root on both sides, we get
[tex]\sqrt[4]{\dfrac{81}{26}}=b[/tex]
[tex]b\approx 1.32855[/tex]
Putting b=1.32855 in (i), we get
[tex]26=a(1.32855)^{2.5}[/tex]
[tex]26=a(2.03444)[/tex]
[tex]\dfrac{26}{2.03444}=a[/tex]
[tex]a\approx 12.7799[/tex]
Now, the required function is
[tex]f(x)=12.7799(1.32855)^x[/tex]
Putting x=12, we get
[tex]f(12)=12.7799(1.32855)^{12}[/tex]
[tex]f(12)=386.4224[/tex]
[tex]f(12)\approx 386.422[/tex]
Therefore, the value of f(12) is 386.422.
Last year, 63 new houses were built in a neighborhood. So far this year, 6/7 of them have been sold. How many new houses have been sold this year?
Answer:
54 houses has been sold this year
Step-by-step explanation:
So 6/7 OF the houses sold
63 houses in total
So you just multiply
63*6/7=54
The scale on a road map is 1 cm = 250 miles. If the distance between two cities on the map is 6.5 cm, what is the actual distance between the cities?
Answer:
1625
Step-by-step explanation:
multiply 6.5x250 since each cm is 250 and you have 6.5 cm
1. Evaluate 65 – 3×[(28 - 8) + (24 + 6)]. Answer:
Answer:
-85
Step-by-step explanation:
You purchase a new game for $49.99. Sales tax is 7%. How much did you pay for
the game, including tax? *
Answer:92
Step-by-step explanation:
There are 75 pieces of candy in a 15 oz bag.how many pieces are there per ounce?
Answer:
0.5
Step-by-step explanation:
In 1 ounce there are 5 piece of Candy.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
There are 75 pieces of candy in a 15 oz bag.
So, Per ounce the amount of candy
= 75/ 15
= 5
Hence, In 1 ounce there are 5 piece of Candy.
Learn more about unitary Method here:
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