let x be the number:
first number xsecond number x+1third number x+2Illustration:(1st)² + (2nd)(3rd) = 46x² + (x+1)(x+2) = 46Solution:x² + (x + 1) (x + 2) = 46x² + x² 3x + 2 = 462x² + 3x = 2 - 46 = 02x²+3x - 44 = 0x - 4 = 0 2x + 11 = 0x = 4 2x = -11x = -11/21st = 4
2nd = 4+1 = 5
3rd = 4+2 = 6
Checking:4²+(5)(6) = 4616+30 = 4646 = 46Answerthe numbers are 4, 5 and 6HOPE THIS HELPS. GOODLUCK:)
mp+nq = 1 solve for q
Which expression has a negative value?
7-31-4/2)
(15-7)-(9:3)
0-517+(-14) ]- 30
Answer:
the answer is 7+3(-4)(2)
6.8x+9.3 = -9.4+3.4(2-5x)
Answer:
22/12
Step-by-step explanation:
98-8x=14+12(2-5x)
98-8x=14+24-60x
-8x +60x=10-9
52x=88
x=22/13
Simplify each expression -(20+d)
Answer:
-20 -d
Step-by-step explanation:
-(20+d)
Distribute he minus sign
-20 -d
what are formulas used to solve polynomials?
Answer:
Polynomial Equation Degree Example
Linear Equations 1 -3x + 1 = 4x + 5
Quadratic Equations 2 x^2 – 6x + 9 = 0
Cubic Equations 3 x^3 – 2x^2 + 3x = -5
Quartic Equations 4 x^4 – 2x^2 = -4
Step-by-step explanation:
Linear Equations
Linear equations are polynomial equations that have a degree of 1.
ax + b = 0
Solving for solutions for this type of equation will require us to isolate the unknown variable on one side of the equation. Master your craft in solving linear equations here.
Quadratic Equations
Quadratic equations are polynomial equations with a degree of 2.
ax2 + bx + c = 0
There are different ways we can solve quadratic equations – it mostly depends on the form of the quadratic expression on the right-hand side.
We can factor quadratic expressions and apply the zero-property.
Applying special algebraic properties such as the difference of two squares, perfect square trinomial properties, and completing the square.
Lastly, we can also use the quadratic formula to find the zeroes of quadratic equations.
Polynomial Equations (with a degree of 3 or higher)
Here’s the exciting part: what if we need to find the zeros of the solutions of a polynomial equation with degrees that are 3 or higher?
Some cubic and quartic equations can be factored by grouping and be reduced to equations with a smaller degree. There are times, however, that finding the actual factors can be challenging.
a. (2 + 4) + 5( − 1) − ( + 7)
b. (74 + 9) − 2(4 + 13)
c. (6 − − 4) + (9 + 4)
d. (5 − 2)+ 6(2 − 8) − (2 + 12)
e. (83 + 5) − 3(3 + 2)
f. (12 + 1) + 2( − 4) − ( − 15)
g. (132 + 5) − 2(2 + 1)
h. (9 − − 2) − 3
(8 + 22)
i. (4 + 6) − 12( − 3)+ ( + 2)
j. (154 + 10) − 12(4 + 4)
1. Can the numbers 12, 6, 6 be used to form the sides of a triangle? Why or why not?
Answer: No, a triangle is not possible in this case
Why not? Because the two sides 6 and 6 add to 6+6 = 12, which does not exceed the remaining side.
Refer to the triangle inequality theorem. This theorem says that for a triangle to be possible, we need these three facts to be true
a+b > cb+c > aa+c > bwhere a,b,c are the three sides of the triangle. In short: adding any two sides must be larger than the third side.
I recommend cutting out slips of paper to try making a triangle with sides 12,6, and 6. You'll find its not possible. The two smaller sides combine to perfectly line up with the larger side. The three sides form a line and not a triangle.
A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest
Answer:
The side lengths are:
15, 30, and 30
Step-by-step explanation:
Let x determine the length of the smallest side length then
the other one is said to be 15 in larger so it's x + 15
finally the third size is said to be twice as the smallest one so it's 2x
The perimeter is the sum of all three sides added up
x + 2x + x + 15 = 75 add like terms
4x + 15 = 75 subtract 15 from both sides
4x = 60 divide both sides by 4
x = 15
Complete the following problem "by hand", using pencil and paper. Start with a general equation, and simplify one step at a time. Or, use the shortcut method shown in class (circling the appropriate values). You must show more than just the answer. Use correct math notation and complete math sentences. The goal is not merely to get the right answer, but to show me that you understand the correct process to arrive at the right answer.
The probability that a randomly selected student is female or left-handed is 107/137.
Probability = required outcome / Total possible outcomes
Probability that student is female or left-handed = [(probability that student is female + probability that female is left-handed)]
Therefore,
Probability that student is female :
P(Female student) = number of female / total number of student
Number of female student = 81
Total number of student = 137
P(Female student) = 81 / 137
P(Left handed student) = number of lefthanded student / total number of student
Number of left handed student = 26
Total number of student = 137= 26 / 137
P(student is female or left-handed) :
P(student is female or left-handed) :[(81/137) + (26/137)] = 107/137
Probability that student is female or left-handed is 107/137
Learn more : https://brainly.com/question/11234923
A slow flow of lava is traveling at a rate
of 3 m per day. How far will the lava have traveled at the end of 30 days?
Answer:
90m
Step-by-step explanation:
Since the lava is traveling at a rate of 3m per day all we have to do is multiply 3 by 30. 3 x 30 = 90.
I hope this answer helps you out.
the lava have travelled 90 m in 30 days
g The weight of golden hamsters follows a normal distribution with a mean weight of 4.3 ounces and a standard deviation of 0.25. What is the probability that a randomly chosen hamster weighs less than 4.4 ounces
Let X be the random variable representing the weight of a hamster. Transform X to Z, which follows the standard normal distribution. We have
P(X < 4.4) = P((X - 4.3)/0.25 < (4.4 - 4.3)/0.25) = P(Z < 0.4) ≈ 0.6554
-8b+x evaluate the expression 1B equals five and X equals -7
please help
Answer:
-47
Step-by-step explanation:
On a number line, what is larger, .5 or .7
Answer:
.7
Step-by-step explanation:
On a number line the further you go to the right the higher the number. Thus .7 is larger than .5.
HOPE THIS HELPED
Answer:
.5
Step-by-step explanation:
the bigger the number the smaller the number
the answer is 5
I look like this: __ __ __ . __ __
• My hundreds digit equals the sum of my tenths and ones digits.
• My hundredths digit is one more than my hundreds digit.
• One of my digits is zero.
• My tenths and ones digits are odd and equal.
• My overall value is less than 500.
What number am I?
Answer:
201.13
Step-by-step explanation:
When the product of x5 × x3 × x6 is expressed as a monomial, we get
Answer:
[tex]x^{14}[/tex]
Step-by-step explanation:
[tex]x^{5}[/tex] × [tex]x^{3}[/tex] × [tex]x^{6}[/tex]
[tex]x^{5+3+6}[/tex]
[tex]x^{14}[/tex]
i need the answers for all three of those
Answer:
1) = -10
3) = 4
Step-by-step explanation:
Chow,...!
brainiest to whoever right
Answer:
x = 15
Angle ABC = 57°
Step-by-step explanation:
Hi there!
We're given:
⇒ ABD is a straight line
⇒ Angle ABC = 5x-18 degrees
⇒ Angle DBC = 8x+3 degrees
ABD is a straight line, meaning it measures an angle of 180 degrees.
Angles ABC and DBC create line ABD, so therefore, their sum is equal to 180 degrees:
[tex](5x-18)+(8x+3)=180[/tex]
Open the parentheses:
[tex]5x-18+8x+3=180[/tex]
Combine like terms:
[tex]13x-15=180\\13x=195[/tex]
Divide both sides by 13 to isolate x:
[tex]x=15[/tex]
Therefore, x = 15.
To find angle ABC, replace x with 15 in 5x-18:
[tex]5x-18\\=5(15)-18\\=75-18\\=57[/tex]
Therefore, the measure of angle ABC is 57 degrees.
I hope this helps!
ii) Ramesh asked me where I lived. (into direct speech)
Answer:
Ramesh asked me,"where do you live?"
Ramesh said to me," where do you live".
each of the figure below is made of the unit square which of the following figure has the maximum perimeter
6 question pls
Answer:
c is the answer
which expression is equal to 72 +63 ?
a. 9(8+7)
b. 8(9+7
c. 7 (10+9)
d. 6 (12+10)
Answer:
Your answer is option a.
Answer:
a. 9(8+7)
Step-by-step explanation:
If you distribute the 9 into the equation, You're basically multiplying the 9 by each term so it really becomes:
(9*8) + (9*7)
Which leaves you with:
72 + 63
What is the best measurement to eastimate the volume of a juice box
1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.
What is
6+4-3+9x10-7+3x28-2=
Answer:
172
Explanation:
Can anyone help me with this please :00
Answer:
D. 3×2
This is ur answer ...
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
Answer:
f(x) = (x + 3)(x − 3)(x − 1)
Step-by-step explanation:
The roots are at -3, -1 and 3 therefore the 3rd option is correct.
Answer:
The answer is D
Step-by-step explanation:
Attatched photo for proof
All the applicants chose at least one of the three countries Egypt, Ghana and South Africa. A total of 2417 applicants chose Egypt as their favorite destination; 3500 applicants chose Ghana or South Africa as their favored destination. Of those that chose Egypt, 1233 also chose Ghana. 1031 applicants chose Ghana and South Africa, while 2014 chose Egypt or South Africa but not Ghana. Only 565 applicants indicated their preference for Egypt and Ghana but not South Africa. If 1803 did not indicate Egypt as their preferred destination, obtain the following:
The total number of applicants assessed. (5 marks)
The number of applicants who chose each of the three destinations only. (3 marks)
The most popular of the three destinations. (2 marks)
Answer:
hard quiz
Step-by-step explanation:
Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?
Answer:
f(1) = 0
f(2) = 4
f(3) = 8
Step-by-step explanation:
Substitute the values for the variable x.
[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]
When x= 1
y = 4(1) - 4
y = 0
when x = 2
y = 4(2) - 4
y = 4
when x = 3
y = 4(3) - 4
y = 8
Use the ÷10 pattern to fill in blanks 400 and 0.4
Answer:
400÷10=0.4
stay safe and healthy
The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
Point D divides AB into internal division ratio I:k, E point divides DC internal division ratio m : k+1, find the coordinates of point E.
Really don't know how to solve this, hope someone can help, thank you very much.
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
What are the coordinates of the image of polygon KLMN after a reflection across the y-axis?
5(x-7y)+8(3x+2y)= simplify
Answer:
It is 29x - 19y
Step-by-step explanation:
[tex]5(x - 7y) + 8(3x + 2y)[/tex]
open brackets:
[tex] = 5x - 35y + 24x + 16y[/tex]
group like terms together:
[tex] = (5x + 24x) + (16y - 35y)[/tex]
factorise out x and y :
[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]
