Answers
First factor 2 from the quadratic:
[tex]2x^2+12x-14=2(x^2+6x-7)[/tex]
Now complete the square:
[tex]x^2+6x-7=x^2+6x+9-16=(x+3)^2-16[/tex]
So we have
[tex]2x^2+12x-14=0\implies2(x+3)^2-32=0[/tex]
[tex]\implies2(x+3)^2=32[/tex]
Solve for x:
[tex](x+3)^2=\dfrac{32}2=16[/tex]
[tex]x+3=\pm\sqrt{16}=\pm4[/tex]
[tex]\implies x=-3+4=1\text{ OR }x=-3-4=-7[/tex]
and so the third option is correct.
Related Questions
Need help on this ASAP
Answers
Answer:
I just learned this a few months ago! Your lucky! Answer= 49! happy to help:D
Step-by-step explanation:
c Squared = 6 squared+ 1 squared
c squared= 7 squared
7 squared= 49
c = 49
For every 12 slices of pizza sold at Ping's Pizza Shop,
3 slices are pepperoni, 4 are sausage, and the rest are
cheese. What is the ratio of pepperoni to cheese?
Answers
Answer:
3:5 Is the ratio because there are five pieces of cheese.
Step-by-step explanation:
If there are 12 pieces, then you can add 4 and 3 together and get 7 and then you can take 7 from 12 and get 5 which is how many cheese pieces there are. Now you know that there are 3 slices of pepperoni and 5 pieces of cheese. Therefore the ratio is 3:5.
Which ordered pair is a solution of the equation?
6x + 3y = 15
Answers
Here's how you can check if a pair is a solution:
Plug it into the equation.
Multiply the x coordinate by 6, and the y by 3. Add these up. If you get 15, then it's a solution.
Here are a hundred solutions:
(-50,105) (-49,103) (-48,101) (-47,99) (-46,97) (-45,95) (-44,93) (-43,91) (-42,89) (-41,87) (-40,85) (-39,83) (-38,81) (-37,79) (-36,77) (-35,75) (-34,73) (-33,71) (-32,69) (-31,67) (-30,65) (-29,63) (-28,61) (-27,59) (-26,57) (-25,55) (-24,53) (-23,51) (-22,49) (-21,47) (-20,45) (-19,43) (-18,41) (-17,39) (-16,37) (-15,35) (-14,33) (-13,31) (-12,29) (-11,27) (-10,25) (-9,23) (-8,21) (-7,19) (-6,17) (-5,15) (-4,13) (-3,11) (-2,9) (-1,7) (0,5) (1,3) (2,1) (3,-1) (4,-3) (5,-5) (6,-7) (7,-9) (8,-11) (9,-13) (10,-15) (11,-17) (12,-19) (13,-21) (14,-23) (15,-25) (16,-27) (17,-29) (18,-31) (19,-33) (20,-35) (21,-37) (22,-39) (23,-41) (24,-43) (25,-45) (26,-47) (27,-49) (28,-51) (29,-53) (30,-55) (31,-57) (32,-59) (33,-61) (34,-63) (35,-65) (36,-67) (37,-69) (38,-71) (39,-73) (40,-75) (41,-77) (42,-79) (43,-81) (44,-83) (45,-85) (46,-87) (47,-89) (48,-91) (49,-93)
will give brainliest!!!!
Answers
Answer:
H-1 H-5
T1 T-3
The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 45?
Answers
Answer:
17
Step-by-step explanation:
Let x be the first side
x+2 is the next side ( consecutive odd number)
x+4 is the third side ( consecutive odd number)
P = x + x+2 + x+4
45 = x + x+2 + x+4
Combine like terms
45 = 3x+6
Subtract 6 from each side
45-6 = 3x+6-6
39 = 3x
Divide by 3
39/3 = 3x/3
13 =x
The longest side is
x+4
13+4 = 17
The longest side is 17
The longest side is 16.
Let the consecutive sides be y, y+1, and y+2.
The perimeter of a triangle is gotten by adding all its sides. Therefore, the perimeter will be:
y + y+1 + y+2 = 45
Collect like terms
3y = 45 - 3
3y = 42
Divide both side by 3
3y/3 = 42/3
y = 14
Therefore, the longest side will be:
y + 2 = 14 + 2 = 16
The longest side is 16.
Read related link on:
https://brainly.com/question/13978159
I need help on this.
Answers
Answer:
the x should be 10x7-(9x6)
Step-by-step explanation:
because it should be 10x7-(4+30)
Answer:
The first line has a mistake, multiply and divide before add and subtract
Step-by-step explanation:
10*7 - (4+5*6)
Parentheses first
10*7 - (4+5*6)
Inside the parentheses we multiply and divide first
10*7 - (4+30)
Solve and show steps
Answers
Answer:
41
Step-by-step explanation:
3 unit= 15
4unit = 15/3 x 4= 20
20+21=41
Answer:
The correct answer is 41.
Step-by-step explanation:
unit 3: 15
unit 4: 15/3 x 4= 20
Then add 20 and 21 together and you get 41.
If an angle is bisected to form two new 10 degree angles, what was the measure of the original angle?
Answers
Answer:
20 degrees
Step-by-step explanation:
Bisected means to cut or divide in half. After knowing this you should realize that the two new parts of the angle should be equal. They are both ten degrees, so to get the measure of the original angle add both of the sides together.
10+10=20
HELP PLS ASAP I WILL MARK BRAINLIEST!!!!
Answers
Answer:
I think it's 5-2i
Step-by-step explanation:
=(2+3i)+(3-5i)
=2+3i+3-5i
=2+3-5i+3i
=5-2i
hope it helps
Which table shows a linear function?
х
-4
-1
1
8
2
2
4
6
2
3
Х
-6
-2
-16
-8
4
-2
2
1
3
Х
0
-2.
2
7
Answers
Answer:
the second table
Step-by-step explanation:
if you plot all the points on a graph, the second function is the only one with a linear function. a linear function is a straight line.
A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from its starting point? Round to the nearest tenth.
Answers
Answer:
93.7 miles
Step-by-step explanation:
This problem can be represented as a right angled triangle. The distance between the final point and the starting point is the hypotenuse.
We need to find the hypotenuse. We can use Pythagoras rule:
[tex]hyp^2 = opp^2 + adj^2[/tex]
where opp = opposite side to the angle considered
adj = adjacent side to the angle considered
This implies that:
[tex]x^2 = 60^2 + 72^2\\\\x^2 = 8784\\\\x = \sqrt{8784} \\\\x = 93.7 miles[/tex]
The car is 93.7 miles far from its starting point.
Sarah can eat 45 blueberries in 2 minutes. If she eats blueberries for 45 minutes straight, how many did she eat?
Answers
Answer:
1012
Step-by-step explanation:
She eats 1012 because:
If she eats 45 in 2 minutes then she eats 22.5 in 1 minute.
This is because 45 ÷ 2 = 22.5
Sarah eats blueberries for 45 minutes so we multiply 22.5 by 45
22.5 × 45 = 1012.5
She ate 1012 full berries.
PLEASE HELP ASAP I always give brainliests!
You have found the following ages (in years) of 4 bears. Those bears were randomly selected from the 22 bears at your local zoo: 5,4,6,39 Based on your sample, what is the average age of the bears? What is the standard deviation? Round your answers to the nearest tenth.
Average age: ______ years old
Standard deviation: ______ years
Answers
For the given set, the average is 13.5 years, and the standard deviation is 17.02 years.
What is the average age of the bears?
Here we know that the ages of the bears are {5, 4, 6, 39}, then the average of these 4 values is:
[tex]A = \frac{5 + 4 + 6 + 39}{4} = 13.5[/tex]
So the average age of the bears is 13.5 years.
What is the standard deviation?The standard deviation for the given set will be:
[tex]S_X = \sqrt{\frac{(5 - 13.5)^2 + (4 - 13.5)^2 + (6 - 13.5)^2 + (39 - 13.5)^2}{4 - 1} } \\\\S_X = 17.02[/tex]
The standard deviation is 17.02 years.
If you want to learn more about sets of data, you can read:
https://brainly.com/question/475676
!!HELP ME PLS!!
A model lighthouse uses a scale of 1/4 inch = 5 feet. The height of the model lighthouse is
6 3/8 inches
What is the height of the actual lighthouse?
Answers
Answer:
127 1/2 feet
Step-by-step explanation:
A model lighthouse uses a scale of 1/4 inch = 5 feet.
This means that 1/4 inch on the model represents 5 feet in actual life.
The height of the model lighthouse is 6 3/8 inches i.e. 51/8 inches.
The height of the actual lighthouse is:
1/4 inch = 5 feet
51/8 inches = x
Cross-multiply:
51/8 * 5 = 1/4 * x
=> x = 51/8 * 4 * 5
x = 127 1/2 feet
The height of the actual lighthouse is 127 1/2 feet.
What is the value of p?
Answers
Answer:
50degrees
subtract 180with140and with 90 then add
Answer:
50˚ "D"
Step-by-step explanation:
All you have to do is subtract 140 by 90
Your equation should look like this: 140-90
By studying the historical context of a story, you can better understand:
Answers
Answer:
Everything
Step-by-step explanation:
By knowing the context, you could tell what just happened and could even predict what's going to happen.
Solve the rational equation x over 5 equals x squared over quantity x plus 2 and check for extraneous solutions.
x = 0; x equals negative one half is an extraneous solution
x equals one half; x = 0 is an extraneous solution
x = 0 and x equals one half
x = 0 and x equals negative one half
Answers
Answer:
c
Step-by-step explanation:
x=0 and x= one half (1/2) is the solution of rational equation:
Option C is correct.
Step-by-step explanation:
We need to solve rational equation: and identify extraneous solutions.
Solving:
Cross multiplying and solving:
So, values of x are x= 0 and x=1/2
Checking for extraneous solutions.
To check for extraneous solutions we will put value of x in the given rational equation and check if it satisfies the equation or not.
Putting x=0
Putting x= 1/2
Since both values satisfies the given equation so, there is no extraneous solutions.
x=0 and x= one half (1/2) is the solution of rational equation:
Option C is correct.
Answer:
c
Step-by-step explanation:
x=0 and x= one half (1/2) is the solution of rational equation:
Option C is correct.
Step-by-step explanation:
We need to solve rational equation: and identify extraneous solutions.
Solving:
Cross multiplying and solving:
So, values of x are x= 0 and x=1/2
Checking for extraneous solutions.
To check for extraneous solutions we will put value of x in the given rational equation and check if it satisfies the equation or not.
Putting x=0
Putting x= 1/2
Since both values satisfies the given equation so, there is no extraneous solutions.
x=0 and x= one half (1/2) is the solution of rational equation:
Option C is correct.
ANYONE PLEASE HELP! (MARKS BRAINLIEST FOR HELPIING)
1) In the quadratic equation, k represents a real number.
3x^2+2kx+2=0
Which value of k gives imaginary solutions to the equation? Select all the values that apply.
A. − 5
B. − 3
C. − 1
D. 2
E. 3
F. 4
2) 1/2 x+12=8+4( x+1)
Which could be a correct first step to solve the equation? Select all the steps that apply.
A. Distribute 4 to the quantity ( x+1).
B. Add − 8 to each side of the equation.
C. Distribute 12 to the quantity ( x+1).
D. Multiply each side of the equation by 2.
E. Subtract 12 from each side of the equation.
F. Add together the 8 and the 4 on the right side of the equation.
G. Multiply the left side of the equation by 2 to eliminate the fraction.
3) In the equation of f(x) shown, r and s are positive real numbers.
f(x)=x^2−2(r−s)x+(r−s)^2+(r+s)
Select the options from the drop-down menus to correctly rewrite f(x).
FILL IN: f(x)= ( ......... ......... )2 ..........
4) A city’s population, P, changes according to the function P( x )=50,000 ( 0.95 )^x. where x represents the number of years after the year 2000.
Select the options from the drop-down menus to complete an accurate description of the population.
The population of the city in the year 2000 was(...……..) . The population is (..............) by (..........)each year.
Answers
Answer:
I found it on quizlet and it helped me out a lot :)
Step-by-step explanation:
just look up your question on quizlet then tap on a quiz then tap on view flashcards and once you see your question stop and tap the flashcard then the flashcard will flip and your answer will be on the back of it
Which statement is true regarding the functions on the graph?
Answers
all help is appreciated
Answers
Answer:
No, 16i^2+8i+15
Step-by-step explanation:
No, she did not square it properly.
(a+b)^2=a^2+2ab+b^2
So in this case, a=3, and b=4i
(3+4i)^2
= 3^2+2(3*4i)+(4i)^2
=9+6+8i+16i^2
=15+8i+16i^2
= 16i^2+8i+15
Find the perimeter of the figure when l = 15 m, w = 9 m, x = 3 m, and y = 6 m
Answers
Answer:
54m
Step-by-step explanation:
15+15+9+9+3+3
Mrs. Singh wrote 4 equations on the board.
Which of Mrs. Singh's equations is NOT true?
O
A. 3:3 = 1
O
B. 7-0 = 0
O C. 8:1 = 8
OD. 04 = 0
Answers
Answer:
A and B are not true
Step-by-step explanation:
A. 3 * 3= 9 NOT 1
B. 7-0 =7 NOT 0
C. 8*1=8
D. 0*4=0
find the x in the tringle
Answers
Answer:
3.5
Step-by-step explanation:
pythagorean therom 1.6^2+3^2=x^2
Answer:
x = 3.4
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve this:
[tex]a^2+b^2=c^2[/tex]
→The "a," and "b," are the legs, 3 and 1.6, and the "c," is the hypotenuse, which we are trying to find.
[tex]1.6^2+3^2=c^2[/tex]
[tex]2.56 + 9 = c^2[/tex]
→Add like terms (2.56 and 9) together:
[tex]11.56 = c^2[/tex]
→We need to get "c," by itself, and to do this we need to square root both sides, like so:
[tex]\sqrt{11.56} =\sqrt{c^2}[/tex]
[tex]3.4 = c[/tex]
Simply 10x - 4y
PLEASE
Answers
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] = 2(5x - 2y)[/tex]
Step-by-step explanation:
[tex]10x - 4y \\ = 2(5x - 2y)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answers
Answer:
(0,0)
Step-by-step explanation:
Using the midpoint formula, given that A is at (-1,2) and B is at (1,-2):
[tex]m=\left(\dfrac{-1+1}{2},\dfrac{2+(-2)}{2} \right)=\left(\dfrac{0}{2},\dfrac{0}{2} \right)=(0,0)[/tex]
Hope this helps!
Answer:
using midpoint formula you can see that the answer comes out to be (0,0)
Which of the following events will have an EQUALLY LIKELY chance of occurring?
A (rolling a 7 on a standard number cube labeled 1 - 6)
B (rolling a number less than 3 on a standard number cube labeled 1 - 6)
C (picking a vowel from the word ANTEATER)
D (picking a blue marble from a bag consisting of 8 blue, 2 red, and 1 white)
E (rolling an even or odd number on a standard number cube labeled 1 - 6)
Answers
Answer:
a no because its 0/6
b yes because there is a chance occuring
c. yes because there is a chance occuring
d.yes because there is a chance occuring
e. yes?
Step-by-step explanation:
not sure on the last one
fill in the blank. given O below you can conclude that PY is congruent to ______ .
Answers
Chord PY is congruent to Chord NL of a circle with center 0. Option A is correct.
Given,
A circle with center o is shown with two chords equidistant from the center which is 3 units.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
Since the property of the circle describes that chords that are equidistant from the center of the circle are equal in length,
In the given question both the given chords are equidistant from the center of the circle i.e 3 units, so the Chord PY is congruent to Chord Nl.
Thus, Chord PY is congruent to Chord NL of the circle with center o. Option A is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
7x+4y= 39
2x + 4y = 14
A. (3,2)
B. (5,1)
C. (5,4)
D. (3,4)
Answers
Answer:
The answer is B.
Step-by-step explanation:
When Elimination method is applied, you have to eliminate one of the variables from both equations. Firstly, both equations contain 4y so you can subtract it :
[tex]7x + 4y = 39 - - - (1)[/tex]
[tex]2x + 4y = 14 - - - (2)[/tex]
[tex](1) - (2)[/tex]
[tex]7x + 4y - 2x - 4y = 39 - 14[/tex]
[tex]5x = 25[/tex]
[tex]x = 25 \div 5[/tex]
[tex]x = 5[/tex]
Next, you have to substitute x = 5 to any equations. I will choose to put in (2) :
[tex]substitute \: x = 5 \: into \: (2)[/tex]
[tex]2(5) + 4y = 14[/tex]
[tex]10 + 4y = 14[/tex]
[tex]4y = 14 - 10[/tex]
[tex]4y = 4[/tex]
[tex]y = 4 \div 4[/tex]
[tex]y = 1[/tex]
Therefore, put your answer in coordinate form :
[tex]x = 5 \\ y = 1[/tex]
[tex](5,1)[/tex]
Spiral Review: Find the ara of the triangle... Write the formula and plug in the values... Write your answer with units and box your answer
Answers
Answer:
300 km²
Step-by-step explanation:
Area of the triangle = 1/2 × base × height
Area = 1/2 × 20 × 30
Area = 300 km²
Answer:
[tex]300 {km}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Given the function, f(x)= x+1-6, choose the correct transformation.
left 1, up 6
left 1, down 6
Oright 1, up 6
right 1, down 6
Answers
Answer:
How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)-x related to each other? g(x) is the reflection of f(x) over the y-axis. ... The ranges of f(x) and h(x) are different from the range of g(x).
Step-by-step explanation:
IS THIS HOW YOU DO IT
Answer: left 1 down 6
