Answer:
x=-2,x=-7
Step-by-step explanation:
quadratic equation form ax^2+bx+c=0
Answer:
- 9
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then
the sum of the roots = [tex]\frac{-b}{a}[/tex]
x² + 9x + 14 = 0 ← is in standard form
with a = 1 and b = 9 , thus
sum of roots = [tex]\frac{-9}{1}[/tex] = - 9
What is the equation of the line that passes through the point (-5,6) and has a slope of 0
The equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6
Equations are expressions that related two or more expressions together using an equal sign.
The formula for finding the equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0) where:
m is the slope(x0, y0) is the interceptGiven the following
m = 0
(x0, y0) = (-5, 6)
Substitute the given values into the formula
y - 6 = 0 (x - (-5))
y - 6 = 0 (x + 5)
y - 6 = 0
y = 6
Hence the equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6
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Which graph represents this system?
2x-5--5
y-3x+1
can't see the graphs....
please edit the picture if u can.
If the sum of first 7 terms of an A.P is 49 and the sum of first 17 terms is 289 find the sum of first 30 term
Sum of first 7 terms of an AP = 49.
Sum of first 17 terms = 289
Find:the sum of first 30 term
Solution:We know that,
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
Hence,
→ 7/2 * [ 2a + (7 - 1)d ] = 49
→ 2a + 6d = 49 * 2/7
→ 2( a + 3d ) = 14
→ a + 3d = 14/2
→ a + 3d = 7 -- equation (1)
Similarly,
→ 17/2 * [ 2a + 16d ] = 289
→ 17/2 * 2 * (a + 8d) = 289
→ a + 8d = 289 * 2/17 * 1/2
→ a + 8d = 17 -- equation (2)
Subtract equation (1) from (2).
→ a + 8d - (a + 3d) = 17 - 7
→ a + 8d - a - 3d = 10
→ 5d = 10
→ d = 10/5
→ d = 2
Substitute the value of d in equation (1).
→ a + 3 * 2 = 7
→ a = 7 - 6
→ a = 1
Now,
Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]
→ S(30) = 15 (2 + 58)
→ S(30) = 15 * 60
→ S(30) = 900
Therefore, the sum of first 30 terms of the given AP is 900.
I hope it will help you.
Regards.
answer refer in pic siso
help asap please click the image to find the question
Answer:33
Step-by-step explanation: You do what's inside the parenthesis first then you divide the number by 6 and lastly you add 5squared which is 25 to the quotient.
Solve the following system of equations using substitution, showing all work.
y=2x+3
2x+5y=3
x=negative 1
y=1
showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.
12x+15=312x+15=3
2 Solve for xx in 12x+15=312x+15=3.
x=-1x=−1
3 Substitute x=-1x=−1 into y=2x+3y=2x+3.
y=1y=1
Answer:
x= -1
y= 1
Step-by-step explanation:
since y=2x+3; plug into other equation
2x+5(2x+3)=3
(distribute 5 to 2x+3)
2x+10x+15=3
(add like terms)
12x= -12
divide by 12 to get x alone
x=-1
now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.
y=2(-1)+3
y=-2+3
y=1
On June 30, Tina Nader's check register balance was $452.88 and her bank
statement balance was $697.55. Checks outstanding were 561, $39.28; 562,
$121.31; 564, $83.19. The statement showed earned interest of $0.89. Reconcile
the check register and bank statement.
Answer:
43
Step-by-step explanation:
Answer:
43 is what I would say
Step-by-step explanation:
step by step
how to change the fractions into equivalent fractions having the LCD 3/4
Show me how I do it please
Answer:
y=7x-5
Step-by-step explanation:
y=mx+b
2=(7)(1)+b
2=7+b
2-7=b
-5=b
Solve the equation.
8 - 2x = -8x + 14
O x= -1
O x=
5
3
O x
O x= 1
Answer:
x = 1
Step-by-step explanation:
8 - 2x = -8x + 14
-2x + 8x = 14 - 8
6x = 6
x = 1
x=1 is the solution of the equation 8 - 2x = -8x + 14
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8 - 2x = -8x + 14
x is the variable in the equation
Plus and minus are the operators
We have to solve for x
Take the variable terms one side and constants on other side
8x-2x=14-8
6x=6
Divide both sides by 6
x=1
Hence, x=1 is the solution of the equation 8 - 2x = -8x + 14
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- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.
Answer:
2/3
Step-by-step explanation:
Initially it would be 4/6 which you can simplify as 2/3
Help me solve this problem please
Answer:
subtracted 2x from both sidesStep-by-step explanation:
4x = 2x + 402 subtract 2x from both sides
4x - 2x = 2x - 2x + 402
2x = 402
What value is missing from the table?
Answer:
12
Step-by-step explanation:
15/1.25 is 12
Answer:
12
Step-by-step explanation:
what is 64x64? and I know if you use a calculator =)
Answer:
4096
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment AC over segment A double prime C double prime = 2 segment A double prime C double prime over segment AC = one half segment AC = segment A double prime C double prime over 2
Answer:
segment AC is equal to A''B'' over 2
Step-by-step explanation:
Given that,
Scale factor = 2
The coordinates of A is (-3,3)
The coordinates of B is (1,-3)
The coordinates of C is (-3,3)
We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.
So.
[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]
It means, segment AC is equal to A''B'' over 2 is the correct answer.
Arturo is driving to a hotel. After 3 hours of driving, he is 135 miles from home. After 5 hours of driving, he is 225 miles
from home. Arturo graphs his distance with respect to time as a line. What is the slope of the line?
Respect to time as a line. What is the slope of line?
Please help !
Answer:
it is C
Step-by-step explanation:
i took all the test and got a hundred
if we graph his distance with respect to time as a line then slope of line is 45.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Arturo after 3 hours of driving is 135 miles from home. After 5 hours of driving, he is 225 miles
from home
Let the two points are (3, 135) and (5,225)
m=225-135/5-3
=90/2
=45
Hence, if we graph his distance with respect to time as a line then slope of line is 45.
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HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answer:
I believe the answer is the first one A
Step-by-step explanation:
If you do this will construct the perpendicular bisector for AB.
Answer:
iT IS A
Step-by-step explanation:
PLZZZZZZ HELP MEEEEE? Simplify l -10l-l8l+4 A.7 B.4 C.5 D.6
Answer:
D. 6
Step-by-step explanation:
Simplify: 10 - 8 + 410 - 8 = 2Plug 2 in: 2 + 42 + 4 = 6I hope this helps!
can you help me please with my homework
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10
Step-by-step explanation:
I need help please it’s due in a couple of minutes
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
What is the price of one cookie?
Answer:
$3 for one cookie
Step-by-step explanation:
Divide 18 by 6
Solve for x:
14x - 8 = (-10) - 10x
Answer:
x= -1/12
Step-by-step explanation:
In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them
play baseball. There are 6 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%
Step-by-step explanation:
1) Students playing atleast one sport = 28 - 6 = 22
2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)
N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4
3) Number of students playing both basketball and baseball = 4
Total number of students = 28
Probability of a student playing both basketball and baseball is 4/28
4/28= 0.1428571429 x 100%= 14.3%
Answer:4/28
Step-by-step explanation:4/28
HELP !!
To find the measure of zA in triangle ABC, use the ____. To find the length of the side HI in triangle HIG, use the ____.
First blank:
1. Pythagorean theorem
2. Law of sines
3. Law of cosines
Second blank:
1.Pythagorean theorem
2. Law of sines
3. Law of cosines
Answer:
blank A->(Law of cosines)
blank B->(Pythagorean theorem/theory)
Step-by-step explanation:
Reason to get the correct measurement's of angles in a figure you must apply Cosines or Law of Cosines(same thing) which simply means angle edges
and to get the measurements of the angles length use the Pythagorean theorem which is (a²+b²=c²)
Hope I was helpful in any way thanks and sorryAnswer:
First drop down menu answer is Option 3
Second drop down menu is Option 1
Step-by-step explanation:
A statement that two ratios are equal is called a
The answer is proportion. A proportion basically equates two ratios.
A statement that two ratios are equal is called a proportion.
In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.
Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.
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-6=2/3x What does x equal
Answer:
x = -9 :)
Step-by-step explanation:
solve for x by simplifying both sides of the equation then isolating the equation
brainliest pls if correcto
The lowest temperature ever recorded on Earth was $-89.2\degree\text{C}$ at Soviet Vostok Station in Antarctica. The highest temperature ever recorded was $56.7\degree\text{C}$ at Greenland Ranch in California. What is the difference between the highest and lowest recorded temperatures?
Answer:
145.9°C
Step-by-step explanation:
Given that :
Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C
Highest temperature recorded (Greenland Ranch California) = 56.7°C
Difference between the highest and lowest recorded temperature :
(Highest temperature - lowest temperature)
(56.7°C - (-89.2°C))
= 56.7°C + 89.2°C
= 145.9°C
Who has algebra 2 on edge ?
Answer:
i do, if uu need help hmu
Step-by-step explanation:
find the solutions of 4s²-12s = -9 by factoring
Steps Using Factoring By Grouping
[tex]4 {s}^{2} - 12s = - 9[/tex]
[tex]4 {s}^{2} - 12s + 9 = 0[/tex]
[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]
[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]
[tex](2s - 3)(2s - 3) = 0[/tex]
[tex](2s - 3) {}^{2} = 0[/tex]
[tex]2 s - 3 = 0[/tex]
[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]
[tex] \: \: \: \: \: \: \: 2s = 3[/tex]
[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]
[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]
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The art class lasts 90 minutes. The teacher explains the project for 25 minutes and allows 15 minutes for questions and discussion. He talks to each student about their project for 5 minutes and then all of the class time is used up. Write and evaluate the expression that shows how many students are in the class.
Answer:
dunno if you still need this but the answer is (90-25-15)÷5
Step-by-step explanation: