Answer:
The first multiple of 7 = 14 or -21
The second multiple of 7 = 21 and -14
Step-by-step explanation:
Let
The first multiple of 7 = 7x
The second multiple of 7 = 7(x+1)
Square of the first multiple = (7x)^2
Square of second multiple = {7(x+1)}^2
Sum
(7x)^2 + 7(x+1)}^2 = 637
49x^2 + 49(x+1)^2 = 637
Divide through by 49
x^2 + (x+1) = 13
Open bracket
x^2 + x^2 + 1 + 2x = 13
Subtract 13 from both sides
x^2 + x^2 + 1 + 2x - 13 = 13 - 13
x^2 + x^2 + 1 + 2x - 13 = 0
2x^2 + 2x - 12 = 0
Divide through by 2
x^2 + x - 6 = 0
Solve the quadratic equation using factorization method
x^2 + 3x - 2x - 6 = 0
x(x+3) - 2(x+3) = 0
(x - 2) (x+3) = 0
x - 2 = 0
x = 2
x+3 = 0
x = -3
Substitute x = 2 or -3 into 7x
When x= 2
7(2) = 14
When x = -3
7(-3) = -21
The first multiple of 7 = 14 or -21
Substitute x = 2 or -3 into 7(x+1)
When x= 2
7(2+1) = 7(3) = 21
When x = -3
7(-3+1) = 7(-2) = -14
The second multiple of 7 = 21 and -14
find the gradient of the line segment between the points (0,3) and (1,8)
The gradient of the line segment between the points (0,3) and (1,8) is : 5
What is gradient?Gradient is the ratio of the increase or decrease in the y-coordinates to the increase ore decrease in the x-coordinates of points that form a line segment.
Analysis:
x1 = 0, x2 = 1, y1 = 3, y2 = 8,
Gradient(M) = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
= [tex]\frac{8 - 3}{1 - 0}[/tex] = 5/1 = 5
In conclusion, the gradient of the given points (0,3) and (1,8) is : 5
Learn more about gradients : brainly.com/question/21727173
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Answer:
Step-by-step explanation:
difference in x = 1
difference in y= 5
5 divided by 1 = 5
gradient= 5
Help I will name u a brainlist
The first one is the the correct answer because the angles have a sum of 180 degrees.
Hope that helps you!!
How many solutions does 1=1 have
Answer:
infinite
Step-by-step explanation:
because this 1=1 is true, there are infinite solutions
Answer:
Since both sides are equal,there are infinitely many solutions.
Step-by-step explanation:
Tell whether the table represents a proportional relationship. If it does, identify the constant of proportionality.
Answer:
well we cant tell you the specifics to the graph you need help with because we cant see it but we can help you understand where to look
Step-by-step explanation:
So its proportional if the line lies on a straight path going through the (0,0)
and to find the constant of proportionality you divided by the first number on the Y-axis my the first number on the X-axis
Which of the following is the complete list of roots for the polynomial function f (x) = (x squared + 6 x + 8) (x squared + 6 x + 13)?
[tex]( {x}^{2} + 6x + 8)( {x}^{2} + 6x + 13) =0 \\ [/tex]
_________________________________
[tex] {x}^{2} + 6x + 8 = 0 [/tex]
[tex](x + 2)(x + 4) = 0[/tex]
##############################
[tex]x + 2 = 0[/tex]
[tex]x = - 2[/tex]
##############################
[tex]x + 4 = 0[/tex]
[tex]x = - 4[/tex]
_________________________________
[tex] {x}^{2} + 6x + 13 = 0 [/tex]
[tex]∆ = {b}^{2} - 4ac [/tex]
[tex]a = coefficient \: \: of \: \: {x}^{2} = 1 [/tex]
[tex]b = coefficient \: \: of \: \: x = 6[/tex]
[tex]c = the \: \: alone \: \: number \: = 13 \\ [/tex]
Thus ;
[tex]∆ = ({6})^{2} - 4 \times (2) \times (13) [/tex]
[tex]∆ = 36 - 104[/tex]
[tex]∆ = - 68[/tex]
=======================================
Point :
Remember from now on ,
In quadratic functions ;
if :
[tex]∆ > 0[/tex]
The function has two roots
if :
[tex]∆ = 0[/tex]
The function has just one root
if :
[tex]∆ < 0[/tex]
The function doesn't have any root.
=======================================
Thus , ( x² + 6x + 13 ) doesn't have any root.
So ; ( x = - 2 ) & ( x = - 4 ) are the only roots.
_________________________________
And we're done....♥️♥️♥️♥️♥️
Answer:
c)-2,-4,-3+2i,-3-2i
Step-by-step explanation:
edge2020
Solve -1/6 (3x – 9) – 9= 3.
The solution is x=
Please explain
Answer:
x=23
Step-by-step explanation:
1/6 as a decimal is 0.16666667 but i rounded it to 0.2
so the equation is the 0.2(3x-9)-9=3
then i did 0.2 times 3x =0.6x
then 0.2 times -9= -1.8
so the equation now looks like this:
0.6x-1.8x-9=3
so i add 1.8 and 9 to 3 which gives you 13.8
then the equation looks like this:
0.6x=13.8
then you do 13.8 divided by 0.6 which equals 23.
hope this helps
tell me if i got it right or wrong
What is the coefficient of
the term of degree 6 in the
polynomial below?
3x^2 – 14x^6 + 6x^3 + 12x +
5x^5
Answer:
14
Step-by-step explanation:
The coefficient is the number before the degree. In this equation, it looks to be that the number before the 6th degree is 14.
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
p is True
q is False
p and q: False
p V q: True
~p and q: False
p and ~q: True
~p V ~q: True
Last years phone model had a
battery that lasted 15 hours. This year
the battery only last for 7.5 hours.
What was the percent the battery life
decreased?
Answer:
probably It decreased by 1/2 which is a half
Step-by-step explanation:
The 150 Grade 7 students participated in school's Math Olympics. 64 students registered in Math Trail , 78 students registered in Amazing Race and 28 students registered in both Math Trail and Amazing Race. How many students registered in Math Trail only and in Amazing Race only? Are there students who did not registered in both events, how many?
Answer:
Number of students registered in Math trail only and in Amazing Race only is 86.
Number of students who did not registered in both events = 36
Step-by-step explanation:
There are 150 students totally.
64 students registered in Math trail.
78 registered in Amazing race.
28 registered in both Math trail and Amazing Race.
We can make Venn diagram for this and answer the question.
I've attached the Venn diagram.
Using the diagram,
Number of students registered in Math trial only and in Amazing race only is 36+50= 86.
Number of students who did not registered in both events = (150-(36+28+50))=36
Please answer as soon as possible. Please make sure to explain your answer.
Thank you.
What is the slope of the line shown?
Answer:
The slope is y=-x
Step-by-step explanation:
Rise over run. Pick 2 points, then count the distance that is rose(can be neg) then the distance that it went horizontally. Put into a fraction form.
Which of the following expressions are equivalent to 8 4/5 + (3 2/10 - 1 1/5)
Answer:
B/D/E
Step-by-step explanation:
What are the 4 major types of special Angle Pairs formed by Parallel Lines and Transversals? 20 points Vertical Angles, Angle Bisectors, Linear Pairs, Perpendicular Bisectors Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior Straight, Acute, Obtuse, Right Adjacent Angles, Supplementary Angles, Complementary Angles, Opposite Angles
Answer:
Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior
Step-by-step explanation:
When a transversal cuts across two parallel lines, there are 4 major types of special angles that are formed as shown in the attachment below. They are:
1. Alternate interior angle pairs are angles that are positioned inside the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.
In the figure attached below, the alternate exterior angle pairs are labelled:
<3 and <6;
<4 and 5
2. Corresponding angles: these are angle pairs that are lie in the same position of the transversal, one interior, and the other exterior to a parallel lines respectively.
In the figure attached below: the following are corresponding angles pairs:
<1 and <5;
<2 and 6;
<3 and <7;
<4 and <8
3. Consecutive Interior angle pairs: these are angles that lie in the same side of the transversal and also found opposite each other within the parallel lines.
They are labelled:
<3 and <5;
<4 and <6
4. Alternate exterior angle pairs are angles that are positioned outside of the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.
They are labelled:
<1 and <8;
<2 and <7;
Which number is equivalent to (1/3)-4
Answer:
-3.6 repeated.
Step-by-step explanation:
( 1 / 3 ) - 4 = -3.6666666666666 (6 repeated)
The equivalent number is -3.6667
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Expression Definition in MathAn expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.Given:
(1/3)-4
Take LCM
1/3 - 4*3/1*3
=1/3 - 12-3
=-11/3
=-3.6666
Learn more about expression here:
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Find the percentages: 33 1/3 % of 75
The value of percent for 33 1/3% of 75 is 25.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The expression is,
⇒ 33 1/3% of 75
Solve for value as;
⇒ 100/3% × 75
⇒ 100/(3×100) × 75
⇒ 75/3
⇒ 25
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(Question 1) Which mathematical property is shown by the statement?
If 43 = y, then y = 43.
A) transitive property
B) symmetric property
C) reflexive property
D) associative property of addition
(Question 2) Which mathematical property is shown by the statement?
(4y⋅9)⋅7=4y⋅(9⋅7)
associative property of addition
associative property of multiplication
commutative property of addition
commutative property of multiplication
(Question 3) Which statement is true for the set of natural numbers?
The set is closed under addition and closed under subtraction.
The set is not closed under addition and closed under subtraction.
The set is closed under addition and not closed under subtraction.
The set is not closed under addition and not closed under subtraction.
Answer:
1. symmetric property
2. associative property of multiplication
3. The set is closed under addition and not closed under subtraction
Step-by-step explanation:
After comparing the Legend and the Supreme,Victor saw an advertisement for a third vehicle,the Lunar.The manager said that the Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas,is the Lunar Victor's best option
Given :
Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas.
To Find :
Is the Lunar Victor's best option.
Solution :
Number of miles Lunar travel per gallon is :
[tex]N = \dfrac{289\ miles}{17 \ gallon}\\\\N=17 \ miles/gallon[/tex]
We know, miles travelled per gallon is given by 18 miles/gallon.
Therefore, The Legend is still the best option.
Rakim charges $2 per hour for tutoring plus a $7 fee.
Joan charges a $3 fee plus $4 per hour.
When will their tutoring fees be the same (aka equal)
How many hours of tutoring will occur before the fees are the same?
How much has each person been paid in tutoring fees?
Answer:
after 2 hours, they will have the same fee.
they will have been payed 11$
Step-by-step explanation:
if you say h = hours of tutoring,
Rakim charges 7 + 2h
Joan charges 3 + 4h
since you want them to be the same, you can write the following equation:
7 + 2h = 3 + 4h
subtract 2h from each side
7 = 3 + 2h
subtract 3 from each side
4 = 2h
divide both sides by 2.
h = 2
after 2 hours, they will have the same fee.
they will have been payed 11$
"they will have been payed" ah yes the grammar.
Lines a and b are perpendicular. The slope of the line is given. What is the slope of line b?
3/4
Answer:
-4/3
Step-by-step explanation:
If the slope of line a is 3/4, then the slope of line b will be -4/3.
Triangle PQR has vertices P(0, 0), Q(3, 4), and R(3, 0). If triangle PQR is rotated 180° about the origin, what is the length of side P'Q'?
Answer:
The length of P'Q' is 4 units
The length of P'R' is 3 units
Step-by-step explanation:
If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down
Please help me!! If f (x) = sinx/e^x, then f’ (x) =
Answer:
option B is the answer
Step-by-step explanation:
If you need explanation plz ask in the comments
What is the slope of the line whose equation is 12=4x-6y?
Answer:
[tex]m=\frac{2}{3}[/tex]
Step-by-step explanation:
Isolate Y
12=4x-6y Subtract 4x on both sides.
6y=-4x+12 Divide 6 on both sides.
[tex]y=\frac{4}{6}x+2[/tex] Simplify the linear equation(y=mx+b)
[tex]y=\frac{2}{3}x+2[/tex] Find m
m=[tex]\frac{2}{3}[/tex]
What is the y-intercept of the equation y=3/4x-1
Answer:
y-intercept for this equation is -1.
find the missing number 87(M)
= 28.71
the equations above define w and z in terms of a. What is 2wz in terms of a?
w=a+2
z=a
Work Shown:
2wz = 2*(w)*(z)
2wz = 2*(a+2)*(z) .... replace w with a+2
2wz = 2*(a+2)*(a) ... replace z with a
2wz = 2a(a+2)
2wz = 2a(a) + 2a(2) .... distribute
2wz = 2a^2 + 4a
The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]
To understand more, check explanation below.
Linear equation:The equation is given as,
w = a +2 and z = a
We have to find 2wz.
[tex]2wz=2*w*z\\\\2wz=2*(a+2)*a\\\\2wz=2(a^{2}+2a )\\\\2wz=2a^{2} +4a[/tex]
The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]
Learn more about the linear equation here:
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On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is . How long will it take the airplane to travel 800 miles? Do not include units (hours) in your answer.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question
On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Speed is the change in distance if a body with respect to time. It is expressed mathematically according to the question as t = 1/500 × d
To determine the time it will take to travel 800miles, we will substitute d = 800 into the modeled equation.
t = 1/500 × 800
t = 800/500
t = 8/5
t = 1.6
Alicia is solving the equation 2.3 x minus 1.6 = 8.8 minus 2.9 x. Which equations represent possible ways to begin solving for x? Check all that apply.
Answer:
what are the options
Step-by-step explanation:
Answer: 1, 2, 5
Step-by-step explanation: I am doing the quiz, i know the answer choices
A recipe for brownies calls for 3/4 cups of sugar Skyler has a bag that contains 9 1/2 cups of sugar exactly how many batches of Brownies can Schuyler make with one bag of sugar express your answer as a mixed number.
Answer:
okkk
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer: She can make 12 batches of brownies. There is a slight remainder, but think about it like this, if you only had a spoon full of sugar left, do you think you could make an entire batch of brownies? No. So if you see problems like this, the whole number should be the answer (unless asked otherwise).
Step-by-step explanation: Since 3/4 is like 75 out of 100, the decimal form is .75 and we all know (or should know) that 1/2 can be put as .5. Whenever there's a whole number before the fraction, and you want to convert the fraction into a decimal, the whole number will go before the decimal. So after converting the fractions to decimals, the problem is 9.5 divided by .75 which is 12.6. Like I said before, that remainder .6 can't make an entire batch of brownies, so we just go with the whole number 12.
The bottom one please (image attached)
Answer:
The solution is: b=50
Step-by-step explanation:
7b+29=379
7b=350
b=50
If it's wrong I'm sorry I'm just going around answering questions for fun!
Hope this helped even the slightest! Gl!
Please mark brainliest!
what is the factor of 6a2 – 19a + 10 ???
Answer:
(2a - 5) • (3a - 2)
step by step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4
6a2 - 15a - 4a - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3a • (2a-5)
Add up the last 2 terms, pulling out common factors :
2 • (2a-5)
Step-5 : Add up the four terms of step 4 :
(3a-2) • (2a-5)
Which is the desired factorization
Final result :
(2a - 5) • (3a - 2)
Answer:
(2a-5) (3a-2) is your correct answer.thank you ☺️☺️