The given equations are as follows
[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]
(1) First, multiply both sides of equation A by 4, we have
[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]
Then, rewrite the left-hand side of the above equation by using the distributive property, we have
[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]
[tex]\Rightarrow x+4=-12[/tex]
This is the required equation B.
In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.
Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.
(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.
As both the equations are the same, so both will have the same solution.
Yes, they have the same solution.
Where is the function decreasing?
A.-3 < x < 1
B.-∞< x < -3 and 1 < x < 4
C. 1 < x < 4
D.-∞< x < 1
Answer:
A. -3 < x < 1
General Formulas and Concepts:
Reading a Cartesian PlaneAnalyzing a GraphStep-by-step explanation:
"When is the function decreasing" is saying when the graph is going down.
Calculus-wise, we are finding when the slope of the tangent line is negative.
From the graph, we see it decreasing from -3 to 1. Everywhere else is increasing.
Therefore, our interval decreasing is from (-3, 1).
What is the value of k?
Answer:
k =5
Step-by-step explanation:
triangle =180
180-115=65
65-10-5=50
50/ (4+6)= 5
find the circumcenter
Answer: (0, -2)
Step-by-step explanation:
Please help will make brainiest !!
Answer:
CB = 13.75
Step-by-step explanation:
Since we know that A, B, and C are the midpoint of the sides, we know that line CB is proportional to QR (by 2)..
So, 27.5/2 = 13.75
Find y, at and tu I need help please help
Answer:
there is no picture... but i will try my best to help you if you post picture in another question
What type of number is: 5? What type of number is 0?
Answer:
0 is rational
5 rational so u are correct
Step-by-step explanation:
Step-by-step explanation:
0 is Rational
5 is Rational is you are correct
help me please and thank you
Please help it's four am and I really hate math
Answer:
A
Step-by-step explanation:
number books = n
2xn / 15
each 6 cup container costs 2.95 . How much did Henry's mom spend on lemonade?
Answer:
Henry's mom spent $17.70 on lemonade.
Step-by-step explanation:
6 x 2.95 = 17.7
factorise the following:
[tex]{3x}^{2} + 5x - 12[/tex]
Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form
Pls help meeee. Given 2
Answer:
think 2 could be wrong
Brainlest pls
Step-by-step explanation:
x
please help i don't understand this
Answer:
Sorry.........................
HELP MEEEEEEEE PMEASE
In order!!!
Step-by-step explanation:
The value of all the angles in a triangle add up to 180.
So to find x do 180-(66+52)
The angle opposite of x is the same value as x
X+E or X+Z are both equal to 180.
solve for b and simplify -17=-3/2b
Answer:
b = 34/3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-17 = -3/2b
Step 2: Solve for b
Rewrite: -3/2b = -17Divide both sides by -3/2: b = 34/3Step 3: Check
Plug in b to verify it's a solution.
Substitute: -17 = -3/2(34/3)Multiply: -17 = -17Brianna wants to use a pontoon boat on Saturday at the lake. She has exactly
$200 to spend on the boat rental. The rental is $30 an hour plus a $80 deposit.
How many hours can she rent the pontoon boat for? Create and solve an
equation for this situation.
Answer:
Step-by-step explanation:
She has 200
80 deposit - 200= 120 left to spend
80+30h=200
If she has 120 left to spend at 30 hr, she could have the boat for 4 hrs
80+30h=200 subtract 80 from both sides
30h=120 divide by the 30
h=4
Pls anyone help i will give brainlist
Answer:
D
Step-by-step explanation:
sry if im wrong i tried
Answer:
0; 1; 2; 3. The slopes are 2, 0, 1, 3 from top to bottom, but from least to greatest it is 0, 1, 2, 3
PLZ HELP NOW!! In a group of 75 fourth graders, 21% do not like Skittles. How many students like Skittles? AND PLEASE SHOW WORK LOL
Answer:
[see below]
Step-by-step explanation:
In a group of 75 fourth graders, 21% do not like Skittles.
This means that 79% of people do like Skittles.
75 * .79 = 59.25 ≈ 59
59 students should like skittles.
Hope this helps.
You bought 15 apples and 2 bags of Carmel for $16.00. The bags of caramel costs $5.35. How much does each apple cost? Write an equation.
Answer:
5.35*2+x=16 and the answer is $.35
Step-by-step explanation:
5.35*2+x=16
10.70+x=16
-10.70 -10.70
x=5.30
5.30/15= about .35
Answer
$12.65/15
Step-by-step explanation:
$16.00-$5.35=$12.65
This means that $12.65/15 is the cost of each apple.
HELP ME ASAP! TYSMMM
Ten family size bags of chips cost $15.00. What is the cost per bag? How much would 11 bags cost?
Answer:
Each bag is $1.50. 11 bags would cost $16.50.
Answer:
Each bag would cost 1.50$.
15.00$ / 10 = 1.5$
1.5 = 1.50
______________________
11 bags:
1.5 x 11 = 16.5
16.5 = 16.50$
11 bags would cost 16.50$
David,Jenny and Dan went to the arcade on Wednesday. David spent $3.25 Jenny spent $2.25 more than Dan,who spent $1.75 less than David how much did the spend in all
Answer: I believe it is 3.75-
Step-by-step explanation:
David: 3.25
Jenny: 2.25 more than Dan
Dan: 1.75 less than David
3.25
- 1.75
_______
1.50
Dan spent 1.50
1.50
+ 2.25
3.25
_______
$7.00
For f(x) = -5x +9, find f'(15)
PLZ help fast I need this I’ll give brainliest
Use the drop-down menus to complete each statement.
The equations x = 1 + 3t and y =-1 + 6t describe a line with a slope of
The equations x = 5 cost and y = 5 sint describe a
X2
A hyperbola with equation
.
= 1 can be parametrized similar to the circle and ellipse.
62
q?
if x = a sec t is one of the parmetric equations, the other will be y =
Answer:
1. 2
2.circle
3.b tan t
Step-by-step explanation:
The slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation x = 1 + 3t and y = -1 + 6t can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
In this case, m = 6, which is the slope of the line.
The equations x = 5 cos t and y = 5 sin t describe a circle.
These equations define the parametric form of a circle with a radius of 5 centered at the origin.
if x = a sec t is one of the parametric equations, the other will be y =b tan t
Hence, the slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Evaluate the expression when a=-4 and x=5.
a-2x
Answer:
That would be -14.
Step-by-step explanation:
Answer:
it's -14 when u evaluate a-2x
What is the quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2)
Answer:
2 3 0 -4 8
+ 6 12 16
3 6 8 24
A：3x^3+6x^2+8x+24/x-2
Answer:
(3x^4-4x^2+8x-1)÷(x-2)
Write the absolute value equation given the transformations
shifts right 5 units
shifts up 2 units
is reflected
is stretched by 0.5
Answer:
y = - 0.5 | x - 5 | + 2
Step-by-step explanation:
g(x) = |x|
[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |
[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2
[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2
[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2
y = - 0.5 | x - 5 | + 2
2. Find the value of x.
17x - 3
17X-13-ax+3
9x + 13
Based on the HL congruence rule, the value of x, is calculated as:
x = 2.
How to Find the Value of x in the Triangle Using the HL congruence theorem?Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent to each other based on the HL congruence theorem.
This means that:
17x - 3 = 9x + 13
Solve for the value of x:
17x - 9x = 3 + 13
8x = 16
Divide both sides by 8:
8x/8 = 16/8
x = 2
The value of x is: 2.
Learn more about HL congruence theorem on:
https://brainly.com/question/29615095
#SPJ6
CHOOSE THE CORRECT CORRESPONDENCE.
TS <>
A. Side RU
B. Side TU
C. Side RT
Answer:
i believe its B side Tu
Step-by-step explanation:
1) Mrs. Houser is baking cookies for an elderly neighbor. She decides to make half of this cookie recipe since she doesn't need the whole thing. Look at the recipe and then answer the questions below
Answer:What’s the question that we have to answer?
Step-by-step explanation:
Answer: it would be 2 1/3 cups
Step-by-step explanation:
Which point lies on the graph of the equation 3x+y=9
A. (-1,9) b. (9,0) c. (1,1) d. (0,9)
what is proportional to 35/80
Answer:
nhi pta... pdhai dhang se kiya kro