Answer:
[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-x-2=3\\x^2-x-5=0[/tex]
Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
So, for the given equation roots are
[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
complete the addition equation that represents the associative property
help plz answer thank you
Need answers for #3 please hep
What is 3a + 2b - 6c?
A = 3
B = 2
C = 12
Answer:
-59
Step-by-step explanation:
3(3)+2(2)-6(12)
Answer: -59
Step-by-step explanation:
3a + 2b - 6c
a = 3 b = 2 c = 12
Substitute
3 (3) + 2 (2) - 6 (12)
9 + 4 - 72
13 - 72
-59
solve the simultaneous equations
5x-2y=4
3x-6y=6
y
3
2
c
-4
-3 -2 -1
-1+
1 2 3 4
-2+
-3+
-4+
41
What is the slope of the line?
Answer:
1
Step-by-step explanation:
(1,1) to (2,2) and (2,2) to (3,3) and so on is (1,1)
Hooke’s Law of Elasticity states that the force applied, y, varies directly with the distance a spring stretches, x (assuming the spring is not stretched past its elastic limit). If a force of 160 newtons stretches a spring 800 cm, how far will a force of 368 newtons stretch the same spring? Justify your answer.
Group of answer choices
F. It will stretch the same spring 73.6 cm because the equation is y equals 5x.
G. It will stretch the same spring 73.6 cm because the equation is y equals one fifth x..
H. It will stretch the same spring 1,840 cm because the equation is y equals 5x.
J. It will stretch the same spring 1,840 cm because the equation is y equals one fifth x..
Answer:
H: It will stretch the same spring 1,840 cm because the equation is y equals 5x.
Step-by-step explanation:
800=y
160and368=x
You find the answer by dividing,
⁸⁰⁰⁄₁₆₀= ʸ⁄₃₆₈800 divided by 160 equals 5 which means the equation is y equals 5x
and 368x5=1,840
also, do you go to college park?
P = (12, 4) and M = (-8, 8)
Help I will mark brainliestttt
Answer:
20
Step-by-step explanation:
5+0.65t=10+0.45t
0.25t=5
t=20
i need help lol i forgot how to do this
Answer:
the answer is D because anything with an exponent of 0 is equal to 1
Step-by-step explanation:
I hope this helps :))
can someone help me thanks you get 15 points!
Eliza makes handmade ornaments. It takes her 4 hours to make 18 ornaments. How many ornaments can she make in
14 hours?
Answer: She makes 63 ornaments in 14 hours
Step-by-step explanation:
4 = 18
14 = x
Cross multiplication
4x = 18 x 14
4x = 252
x = 63
Answer:
She can make 63 ornaments in 4 hours
Step-by-step explanation:
she makes 4.5 in a hour so just times that by 14
I need help with this
Answer:
A is the correct answer mate
Christine's middle school total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio propotional to the middle school's. How many students find when she gets to high school
Answer:
2,200
Step-by-step explanation:
From the above, we were given that;
Total students in Christine's middle school = 900
Teachers in Christine's middle school = 45 teachers
Local high school = 110 teachers
Then, we can write an equation ratio and solve it.
900 students / X = 45 teachers / 110 teachers
If we cross multiply, we'll get
900 × 110 = 45 × X
45X = 99,000
Divide both sides by 45
45X/45 = 99,000/45
X = 2,200
Therefore, Christine would find 2,200 students when she gets to high school.
Solve pls
for the function -2x²+x+1 find f(3)
Answer:
f(3) = -14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -2x² + x + 1
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = -2(3)² + 3 + 1Exponents: f(3) = -2(9) + 3 + 1Multiply: f(3) = -18 + 3 + 1Add: f(3) = -15 + 1Add: f(3) = -14Solving Two Step Linear Equations. SHOW YOUR WORK.
1. 9x - 7 = -7
2. -15 = -4m + 5
3. -2x + 4 = -12
4. x/8 + 4 = 3
5. x/7 + 5 = 12
6. 5 = x/-19 - 2
Answer:
1. x=0
2. m=5
3. x=8
4. x=-8
5. x=49
6. x=-133
Step-by-step explanation:
1. 9x=0
2. -20=-4m, 20=4m
3. 2x=16
4. x/8=-1, x=-1x8
5. x/7=7
6. After simplifying: −1/19(x)=7
Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!
graph the equation y + x = 14
I need help plz
A florist is making bouquets. Draw lines to match each
description with the number of bouquets she can make.
52 bouquets
630 roses with 10 roses in each bouquet
53 bouquets
640 roses with 12 roses in each bouquet
54 bouquets
975 roses with 18 roses in each bouquet
63 bouquets
1,250 roses with 24 roses in each bouquet
Answer:
1) 630 roses with 10 roses in each bouquet = 63 bouquets
2) 640 roses with 12 roses in each bouquet = 53 bouquets
3) 975 roses with 18 roses in each bouquet = 54 bouquets
4) 1,250 roses with 24 roses in each bouquet = 52 bouquets
Step-by-step explanation:
We need to match each description with the number of bouquets that can be made.
Solving this, we need to make bouquet of roses and each bouquet contains the given number of roses. We need to divide the total roses available by number of roses in each bouquet to find number of bouquets.
The formula used will be: [tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}[/tex]
1) 630 roses with 10 roses in each bouquet
Total roses = 630
Number of roses in each bouquet = 10
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{630}{10}\\Number\:of\:bouquets=63[/tex]
So, 63 bouquets can be made.
2) 640roses with 12 roses in each bouquet
Total roses = 640
Number of roses in each bouquet = 12
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{640}{12}\\Number\:of\:bouquets=53.3 \approx53[/tex]
So, 53 bouquets can be made.
3) 975 roses with 18 roses in each bouquet
Total roses = 975
Number of roses in each bouquet = 18
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{975}{18}\\Number\:of\:bouquets=54.1\approx54[/tex]
So, 54 bouquets can be made.
4) 1,250 roses with 24 roses in each bouquet
Total roses = 1250
Number of roses in each bouquet = 24
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{1250}{24}\\Number\:of\:bouquets=52[/tex]
So, 52 bouquets can be made.
Square ABCD has diagonals AC¯¯¯¯¯
and BD¯¯¯¯¯
. What is m∠ABD
A
180º
B
90º
C
45º
D
360º
Answer:
option (c)
Step-by-step explanation:
Given,
ABCD is a square.
AC and BD are diagonals
We know that,
Sides of the square make 90 degrees with each other.
And Diagonals bisect the opposite angles of the square.
Now,
[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]
[tex]\angle ABC = 90^\circ[/tex]
[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]
[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]
[tex]\angle ABD = 45^\circ[/tex]
Hence, option (c) is correct.
[2.1 + (9.2 x 3.3)] x 0.8
Answer:
the answer is 25.96800
Which number is a reasonable estimate for 637x35?
Answer:
20,000
Step-by-step explanation:
if you multiply those numbers you get 22,295 which rounds to 20,000
Estimate:
26k
Out of the answer choices you commented on another answer, that's the one I chose.
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Answer:
7.5/3= 2.5
i checked by doing
3*2.5 and it was equal to 7.5
the scale factor is 2.5
Answer:
2.5
Step-by-step explanation:
I divided 7.5 by 3 and got 2.5then to check my answer I multiplied 2.5 and 3 to get 7.5Hope this helps.Express in the form n : 1.
Give n as a decimal.
6:4
Answer:
[tex]Ratio = 1.5 : 1[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 6 : 4[/tex]
Required
Express as [tex]n : 1[/tex]
[tex]Ratio = 6 : 4[/tex]
Divide ratio by 4
[tex]Ratio = 6/4 : 4/4[/tex]
[tex]Ratio = 6/4 : 1[/tex]
Express 6/4 as 1.5
[tex]Ratio = 1.5 : 1[/tex]
Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]
What is the value of 2x + 6 when x = 10?
Please help a girl out
Answer:
26 is the answer :) plz brainliest?
Step-by-step explanation:
2(10) + 6
20+6
26 :)
DIRECTIONS: Use this information to answer Parts A, B, and C.
A traffic cone has a diameter of 10 inches and a height of 27 inches.
Part A
Find the volume of the cone.
Answer:
V=706.85
Step-by-step explanation:
Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.
Formula: V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h ---> V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])(27)
And put the plugged in formula in your calculator and you'll find the answer!
V=706.85
I hope this helped.
1.) Ivan made a scale drawing of his cell phone using the scale factor 1 mm = 2 in. How long is the drawing of his phone if the actual phones is 8 inches? 21 A recine for rice pudding calls for 2 y cuns of
Answer:
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Step-by-step explanation:
The value of (a–1)+92 - +24,5 " when a= 2 and b=-1
Answer:
256271
Step-by-step explanation:
6165253-6728282-289292
What does 5/12 - 1/3 equal?
Answer: 1/12
Step-by-step explanation:
5/12 - 1/3
1/3 = 4/12
5/12 - 4/12 = 1/12
Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side. There will be no spaces in between. How many stones are needed?
Answer: 6
Step-by-step explanation:
From the question, we are informed that Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side.
The number of stones that are need would be gotten by dividing 5 by 5/6. This would be:
= 5 ÷ 5/6
= 5 × 6/5
= 30/5
= 6
Therefore, the answer is 6.
SOMEONE DO NUMBER 13 AND 14 FOR ME ASAP!! GIVING BRAINLIEST!!!!
Answer: 13 An improper fraction is always 1 or greater than. A mixed number is a combination of a whole number and a proper fraction. In a proper fraction, the numerator is always less than the denominator.
14 they are not equivalent.
Step-by-step explanation:
