Answer:
Step-by-step explanation:
STEPS USING FACTORING
a
2
−13a+42=0
To solve the equation, factor a
2
−13a+42 using formula a
2
+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.
a+b=−13
ab=42
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.
−1,−42
−2,−21
−3,−14
−6,−7
Calculate the sum for each pair.
−1−42=−43
−2−21=−23
−3−14=−17
−6−7=−13
The solution is the pair that gives sum −13.
a=−7
b=−6
Rewrite factored expression (a+a)(a+b) using the obtained values.
(a−7)(a−6)
To find equation solutions, solve a−7=0 and a−6=0.
a=7
a=6
1. The list shows the amounts of money student council collected from students for a field trip. Each student paid the same amount. What is the most the field trip could cost per student? Wednesday $36 Thursday $54 Friday $72 The most the field trip could cost is $ per student.
Answer:
Step-by-step explanation:
First find the LCM and it is going to be 18.
bella and camila are gathering leaves for their nature collection. bella has 18 leaves. camilla has twice as many leaves as bella. how many leaves should camilla give bella so that they will have the same number of leaves
Answer:
9
Step-by-step explanation:
18 + 18 is like 36 divied by 2 is 18 then dvide that by two is 9 so 9
ƒ(x) = 3x2 – 2x: Find ƒ(–4).
Answer:
40
Step-by-step explanation:
f(x) = 3x2 – 2x
f(-4) = 3(-4)² - 2(-4)
= 3(16) - 8
= 48 - 8
= 40
Pls need help I’m stressing out need ASAP it would mean a lot
Answer:
26.4 million
Step-by-step explanation:
You multiply the previous summer concert tour attendance by 0.92. In 1988, the attendance was 31 million. 31.1 × 0.92 = 28.6. The attendance in 1989 is 28.6 million. Repeat the step of multiplying by 0.92 to find the attendance in 1990. 28.6 × 0.92 = 26.36 million. Round your answer to the nearest tenth of a million will get you 26.4 million.
Elsa works as a tutor for $15 an hour and as a waitress for $9 an hour. This month, she worked a combined total of 101 hours at her two jobs. Let tbe the number of hours Elsa worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
Answer:
6t + 909
Step-by-step explanation:
t - tutor (hours)
101 - t = waitress (hours)
$15t + $9(101-t) = 15t + 909 - 9t
6t + 909
F(x) = 8x+7 If f(x)=31 find x
Answer: x = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
31 = 8x + 7
Step 1: Flip the equation.
8x + 7 = 31
Step 2: Subtract 7 from both sides.
8x + 7 − 7 = 31 − 7
8x = 24
Step 3: Divide both sides by 8.
8x /8 = 24 /8
x = 3
Answer:
x = 3
Source: https://www.mathpapa.com/algebra-calculator.html?q=31%3D8x%2B7
, Hope this helps :)
Have a great day!!
The sum of three consecutive odd integers is 459. What are the integers? (show your work please)
Answer:
151+153+155
Step-by-step explanation:
First you divide 459/3. That equals 153. Now you need 3 integers that add to 459. The first integer is 153 and now you subtract and add equal parts from it to get your other two. You subtract 153 by two and get 151. Then you add 153 by 2 and get 155.
A square piece of cheese covers 10 square inches of a plate. What is the approximate length of one side of the piece of cheese?
Answer:
Step-by-step explanation:
If its a square all the sides are equal so therefor if it took up ten inches of the plate the length is 10 by 10 so 100 because the equation for length is base times height.
Your grandma puts $1,500 in an account for you at 0.5% interest annually. She tells you that you can use it when it equals $6000. About how many years will you need to wait?
Answer:
you will have to wait a total of 4 years
Step-by-step explanation:
divide 1,500 and 6,000
if this not right please tell me.
19. Reasoning What is the value of 11027
What is the value of any power of 1?
Answer:
Hi, any number to the power 1 is equal to that very number.
Step-by-step explanation:
Hope that this is helpful .
Have a great day.
Please answer below :-)
Answer:
(x+3)(x+2)
Step-by-step explanation:
The numbers 2 and 3 add to 5 and multiply to 6. Therefore when you put them in a factor box, you will end up with [tex]x^2+5x+6[/tex]
convert 5 feet to
centimeters show your
conversions
Answer:
152.4 cm
Step-by-step explanation:
i think
HELP WILL MARK BRAINLIEST
Classify the polynomial
find the slope
(8, 10), (-7, 14)
Answer:
4/-15 is the slope
Step-by-step explanation:
What is the value of the expression
mn/p + ( -n ) if m = 2, n = 12 and p = -3 .
1) 8
2) -20
3)-12
4)-8
Answer:
2*12/-3 + (-12)
24/-3 - 12
-8-12
-20
i.e. option 2
Help me plzzzzzzzzzzzzzzzzzzzs
Answer:
uh-
Step-by-step explanation:
hmmm.. tough
1/4 x2 - 1/9 y2 factorization plz with explanation
Answer:
. . . . . . . . .
Step-by-step explanation: . . . . .
Describe the transformation in g (x) = (-5/8x) as it relates to the graph of the parent function.
Answer:
reflection over x axis then horizontal stretch by factor of 8/5
Step-by-step explanation:
f(x)=x
h(x) = -f(x) ... reflection over x axis (x,y) -> (x,-y)
-f(x) -> g(x) = (-5/8x) ...0 < |5/8| <1 ... horizontal stretch (x,-y) -> (x / (5/8) , -y)
Do only equations with variables on both sides have no solution? Or can the variable be just on one side? Justify your answer. Choose the correct answer below.
A. Every equation with variables on both sides has no solution. However, it is also possible for an equation with the variable on only one side to also have no solution.
B. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. This means that if an equation has no solution, then the variable must appear on both sides.
C. Any equation can have one solution, infinitely many solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides.
D. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. By contrast, an equation with variables on both sides always has no solution or infinitely many solutions.
Answer:
No only variable on both sides have no solution
Step-by-step explanation:
Then you can get,
for example x=x
or,
y=y
Answer:
Option CStep-by-step explanation:
A. Every equation with variables on both sides has no solution. However, it is also possible for an equation with the variable on only one side to also have no solution.
False, the first pat incorrect. The equation can be simplified to have variable on one side and solved further.B. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. This means that if an equation has no solution, then the variable must appear on both sides.
False, the second part is incorrect. If an equation has no solution, then variables disappear and it results in nonsense equation.C. Any equation can have one solution, infinitely many solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides.
TrueD. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. By contrast, an equation with variables on both sides always has no solution or infinitely many solutions.
False, the second part is incorrect. The variables can be taken to the same side of equation. If they cancel and leave a correct equation, then it results in infinitely many solutions. If they cancel and leave incorrect equation, then it results in no solution. If it simplifies with variable on one side, then there is one solution.an = -2+5(n-1)
Rewrite the explicit formula of the given sequence in the form of y=mx+b
Hello!
Answer:
a=[tex]-\frac{7}{n} +5[/tex]
Step-by-step explanation:
Hope this helps!
Can someone plz help me with this problem plz
Please help i'll give you the brainliest! it's not hard
what is 1 + 1 i need help.
Answer:
2
Step-by-step explanation:
sketch the graph of the equation 3y+4x=2
Simplifying
3y + 4x = 2
Reorder the terms:
4x + 3y = 2
Solving
4x + 3y = 2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
4x + 3y + -3y = 2 + -3y
Combine like terms: 3y + -3y = 0
4x + 0 = 2 + -3y
4x = 2 + -3y
Divide each side by '4'.
x = 0.5 + -0.75y
Simplifying
x = 0.5 + -0.75y
The line connecting two coordinates (0,66) and (0.5,0) show below.
What is Mathematical equation ?
By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign. In other words the equation represents the graph between x and y that is for each value of x there exist one value of y.
Here, the given equation is :
3y + 4x = 2
now, to sketch the equation in graph we need to find the two coordinate first,
Let, x= 0 then y will be :
3y+4x=2
3y = 2
y = 2/3 = 0.66
that is first coordinate is (0,66)
Now, for y = 0 , x will be :
3y+4x=2
4x = 2
x = 0.5
that is second coordinate will be (0.5 , 0)
Now, draw the line connecting these two points show below.
check and know more about equation of line here :
https://brainly.com/question/21511618
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Answer 15 please algebra one
Answer:
a
Step-by-step explanation:
To obtain the inverse, rearrange the relation making x the subject
y = x² + 4 ( subtract 4 from both sides )
y - 4 = x² , or
x² = y - 4 ( take square root of both sides )
x = ± [tex]\sqrt{y-4}[/tex]
Change y into terms of x with x = [tex]f^{-1}[/tex] (x) , that is
[tex]f^{-1}[/tex] (x) = ± [tex]\sqrt{x-4}[/tex] → a
Cross products: what number is missing?
Answer:
hi
Step-by-step explanation:
hope it helps have a nice day
Which could be used to solve this equation?
33+n=9
Subtract 3 from both sides of the equation.
35-33+.9+33
Add 3 to both sides of the equation.
O 9+34-124
Answer:
subtract 3 1/5 from both sides of the equation
Step-by-step explanation:
Answer:
A) Subtract 3 1/5 from both sides of the equation
Step-by-step explanation:
What are the roots (x intercepts ) of the equations below ? Show your work , Factor if possible or use Quadratic Equation . a ) y = x ^ 2 - x - 6 b). y = 2x ^ 2 + x - 6
Answer:
b.) y = 2x ^ 2 + x - 6
Step-by-step explanation:
carry on learning
at a zoo, 3 pandas eat a total of 181 1/2 pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat? Steps
A) 0.15
B) an equal sign
C) a multiplication sign
D) a percent sign
Answer:
B
Step-by-step explanation:
What is 15% of 60 is nothing but What equals 15% of 60 or What = 15% of 60