Answer:
Inconsistent; No Solution
Step-by-step explanation:
I used a graphing tool to graph the equations. When graphed, the lines are parallel. The lines have the same slope but a different y-intercept. This means that there is no solution.
The system is inconsistent, and therefore has no solution.
PLEASE HELP ME QUICK !!!!!!!! -8 x 10^7/-4 x 10^6
Answer:
20
Step-by-step explanation:
The solution set for 7q2 − 28 = 0 is
Answer:
2 and -2
Step-by-step explanation:
● 7q^2 -28 = 0
Add 28 to both sides
● 7q^2-28+28 = 28
● 7q^2 = 28
Divide both sides by 7
●7q^2/7 = 28/7
● q^2 = 4
You can write directly q= 2 or q= -2
To understand it use the absolute value.
● |q| = 2
● q = 2 or q = -2
The solutions are {2, -2}
why did I get it wrong ? I’m finding constant B and idk what’s wrong with my step.
Answer:
[tex]\large \boxed{\sf \ \ A=5, \ \ B=-13 \ \ }[/tex]
Step-by-step explanation:
Hello,
What you did is correct...
[tex](Ax-3)(x-2)=5x^2+Bx+6\\\\\text{*** we develop the left side ***}\\\\Ax^2+(-2A-3)x+6=5x^2+Bx+6[/tex]
... and you found A by identifying the term in [tex]x^2[/tex] to get A = 5, right?
What about the other terms?
We can then identify the like terms:
>>> term in [tex]x^2\\[/tex]
A = 5
>>> term in x
-2A+3=B
>>> constant term
6 = 6
As we know that A=5 it means that B = -2*5-3=-13
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
B = -13
Step-by-step explanation:
Nothing is wrong you just have to complete it..
soo continuing from where you stopped.
Ax² - 2Ax - 3x + 6 = 5x² + Bx + 6
(its supposed to be the equivalence sign [with three dashes] but I am restricted by my keypad, so I made use of the equal to sign [two dashes])
comparing both sides, we can therefore say:
Ax² = 5x²..............i
- 2Ax - 3x = Bx......ii
+6 = +6..............iii
sub the value of A = 5 into ......ii
-2Ax - 3x = Bx
-2(5)x - 3x = Bx
-10x - 3x = Bx
-13x = Bx
B = - 13
Find (-3/7) ÷ (-1 1/14). a. 45/98 b. 2/5 c. 2 1/2 d. -2/5
Answer:
B 2/5
Step-by-step explanation:
Used a calculator.
PLEASE HELP!!!! QUESTION IS BELOW
Answer:
[tex]\boxed{70\°}[/tex]
Step-by-step explanation:
Angle ABP and angle MAB are corresponding angles.
Corresponding angles are equal.
Angle ABP = 50 degrees
Angle CBP and angle BCQ are corresponding angles.
Corresponding angles are equal.
Angle CBP = 20 degrees
Angle ABC is the sum of angles CBP and ABP.
[tex]50+20=70[/tex]
Which of the following functions represent exponential growth? f(x)=.0001(1.77)^x f(x)=2(1.5)^x/2 f(x)=5(0.5)^-x f(t)=5e^-t
Answer:
Hello There. ☆~\《`°---_●£●__---`°》\~☆
An exponential growth function is represented by
f(x)=a(b)^{x},a>0,b>1.
The given functions can be written as,
A)f(x)=.001(1.77)^x,0.001>0,1.77>1
B)f(x)=2(1.5)^{x/2}=2(\sqrt{1.5} )^x,2>0,\sqrt{1.5} >1
C)f(x)=5(0.5)^{-x}=5(2)^x,5>0,2>1
D) f(t)=5e^{-t}=5(\frac{1}{e} )^x,5>0,1/e.
So the function f(t)=5e^{-t}=5(\frac{1}{e} )^x,5>0,1/e violates the conditions for an exponential growth function. It is an exponential decay function.
The correct choices are (A), (B), (C).
Hope It Helps!~ ♡
ItsNobody~ ☆
The functions that represent exponential growth are choices (A), (B), and (C). The correct option is A, B, and C.
What is exponential growth?Exponential growth is the process of gradual increase of quantity over time.
An exponential growth function is represented by
[tex]\rm f(x)=a(b)^{x}[/tex], a>0,b>1
The given functions can be written as,
A)[tex]f(x) = .001(1.77)^x[/tex], 0.001>0,1.77>1
B) [tex]f(x) = 2(1.5)^{x/2} = 2(\sqrt{1.5} )^x,[/tex] 2>0, [tex]\sqrt{1.5}[/tex] >1
C)[tex]f(x) = 5(0.5)^{-x}=5(2)^x[/tex], 5>0, 2>1
D) [tex]f(t) = 5e^{-t}=5(\frac{1}{e} )^x[/tex], 5>0, 1/e.
So, the function [tex]f(t)=5e^{-t}=5(\frac{1}{e} )^x,5 > 0,1/e[/tex] violates the conditions for an exponential growth function. It is an exponential decay function.
The correct choices are (A), (B), and (C).
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What is the value of x in this system of equations? Express the answer as a decimal rounded to the nearest tenth. Negative 5 x minus 12 y = negative 8. 5 x + 2 y = 48.
Answer:
5x+2y=48 or 5x-12y=-8
The value of x is 5 and y is 4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
The Equations are:
5x - 12y= -8...................(1)
and, 5 x + 2 y = 48 ..................(2)
Solving the Equation (1) and (2) we get
-12y -2y = -8 - 48
-14y = -56
y= -56 /(-14)
y = 4
and, 5x +2y= 48
5x + 8 = 48
5x= 40
x= 5
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FIRST GETS BRAINLLEST Jackie is trying to reproduce a scale drawing where every 2 cm will be equal to 2.5 feet. How long should Jackie make the yellow line, in feet?
Answer:
7.5 feet
Step-by-step explanation:
If we look at the yellow line, it is 6 cm.
To find how many times 2cm goes into 6cm, we divide.
[tex]6\div2=3[/tex]
So, if we reproduce the shape for every 2 cm, we have to multiply the value by 3.
Since every 2 cm will be equal to 2.5 feet, we can multiply the values.
[tex]2.5\cdot3=7.5[/tex]
So Jackie should make the yellow line 7.5 feet long.
Hope this helped!
Answer:
The answer is 7.5 feet
Step-by-step explanation:
Kakadk.
I WILL GIVE BRAINIEST IF U ANSWER FAST!
Answer:
10+6=16
16*25=400
400+4=404
Step-by-step explanation:
EZ...
David performed the following mathematical operation:
3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?
Answer:
B. 1 must be a root of the polynomial 3x^2+x-4
Step-by-step explanation:
Given polynomial
3x^2+x-4
Divided by factor x-1
Gives a remainder of 0
Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4
If x-1 is a factor of the polynomial, we can equate x-1 to 0
x-1=0
Solve for x to get one of the roots
x-1=0
Add 1 to both sides
x-1+1=0+1
x=1
B. 1 must be a root of the polynomial 3x^2+x-4
What is the value of x?
sin(x + 22)° = cos(2x - 7)º
Answer:
x=25°
Step-by-step explanation:
sin (x+22)=cos(2x-7)=sin (90-(2x-7))
x+22=90-(2x-7)
x+22=90-2x+7
x+2x=97-22
3x=75
x=75/3=25°
Answer:
x = 25
Step-by-step explanation:
Recall the trig identity sin(x) = cos(90 - x)
In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)
Now, set them equal to each other:
cos(68 - x) = cos(2x - 7)
We can ignore the cosine:
68 - x = 2x - 7
3x = 75
x = 25
FIRST GETS BRAINLLEST If each 12 feet on the scale drawing below equals 3 cm, what is the actual length of the green line?
12cm
14cm
15cm
16.5 cm
Answer:
12 cm
Step-by-step explanation:
You would only have to focus on the green line and then you just have to divide it by 12 and you get 4 and than you multiply 3 cm by 4 and the answer for the actual length of the green line will be 12 cm.
Answer:
12 cm
Step-by-step explanation:
The ratio of feet to cm is 12:3. Set up a ratio to find the length of the green line in cm.
12 feet ÷ 3 cm = 48 ft ÷ x
Cross multiply and divide.
3 x 48 = 12 × x
144 = 12x
x = 12
The actual length of the green line is 12 cm.
Hope that helps.
help me please it will save my life
Answer: 197
Step-by-step explanation: square 28 + square 195 = x squared so then find the sqrt of that
Which expressions are linear factors of the polynomial? Choose all that apply.
x3 + 2x2.5x-6
ox-2
O X+3
Ox-1
Ox+1
Answer:
The linear factors are:
[tex]x - 2[/tex]
[tex]x + 3[/tex]
[tex]x + 1[/tex]
Step-by-step explanation:
Given
[tex]x^3 + 2x^2 - 5x - 6[/tex]
Required
Select all linear factors of the polynomial
Solving for x - 2;
Equate x - 2 to 0 and solve for x
[tex]x - 2 = 0[/tex]
[tex]x = 2[/tex]
Substitute 2 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]
[tex]2^3 + 2(2^2) - 5(2) - 6[/tex]
[tex]= 8 + 8 - 10 - 6[/tex]
[tex]= 0[/tex]
Because, we arrived at 0, then x - 2 is a factor
Solving for x + 3;
Equate x + 3 to 0 and solve for x
[tex]x + 3 = 0[/tex]
[tex]x = -3[/tex]
Substitute -3 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]
[tex](-3)^3 + 2(-3^2) - 5(-3) - 6[/tex]
[tex]= -27 + 2(9) + 15 - 6[/tex]
[tex]= -27 + 18 + 15 - 6[/tex]
[tex]= 0[/tex]
Because, we arrived at 0, then x + 3 is a factor
Solving for x - 1;
Equate x - 1 to 0 and solve for x
[tex]x - 1 = 0[/tex]
[tex]x = 1[/tex]
Substitute 1 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]
[tex](1)^3 + 2(1^2) - 5(1) - 6[/tex]
[tex]= 1 + 2(1) - 5 - 6[/tex]
[tex]= 1 + 2 - 5 - 6[/tex]
[tex]= -8[/tex]
Because, we did not arrived at 0, then x - 1 is not a factor
Solving for x + 1;
Equate x + 1 to 0 and solve for x
[tex]x + 1 = 0[/tex]
[tex]x = -1[/tex]
Substitute -1 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]
[tex](-1)^3 + 2(-1^2) - 5(-1) - 6[/tex]
[tex]= -1 + 2(1) + 5 - 6[/tex]
[tex]= -1 + 2 + 5 - 6[/tex]
[tex]= 0[/tex]
Because, we arrived at 0, then x + 1 is a factor
Which expression is equivalent to *picture attached*
Answer:
[tex]\frac{35(1 + 35)}{2}[/tex]
Step-by-step explanation:
Given:
The attached
Required
Find the equivalent expression
The interpretation of is to add the sequence:
n = 1,2,3,......35
This can be done using the following formula (Sum of n terms of an AP)
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
Where n is the number of terms from 1 to 35; [tex]n = 35[/tex]
T1 is the first term; [tex]T_1 = 1[/tex]
Tn is the last term; [tex]T_n = 35[/tex]
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex] becomes
[tex]S_n = \frac{35}{2}(1 + 35)[/tex]
[tex]S_n = \frac{35(1 + 35)}{2}[/tex]
From the list of given options;
Option A is correct
[tex]\frac{35(1 + 35)}{2}[/tex]
Which polynomial is equivalent to (2h − 3k)(h + 5k)?
Answer:
[tex]2h^{2} + 7hk - 15k^{2}[/tex]
Step-by-step explanation:
Distribute (2h − 3k)(h + 5k).
2h^2 + 10hk - 3hk - 15k^2
2h^2 + 7hk 15k^2
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 7 red marbles, 2 green marbles and 11 blue marbles. Predict how many red marbles are in the bag.
Answer:
35 red marbles
Step-by-step explanation:
So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.
Answer:
35 red marbles
Step-by-step explanation:
The total number of marbles the student recorded is 20
Now we have to make a ratio of red to the total number of marbles
That would be 7 : 20
After this, there will be a new ratio which is x : 100
Lastly we will solve for x making the equation 20x = 700, x = 35
If y varies inversely with x and y=17 when x=11 find y when x=19
Find the constant of variation k for the direct variation
2x + y = 0
Answer:
2
Step-by-step explanation:
The constant of variation is 2 because the variable is x, and its coefficient, 2, is the constant of variation.
Bryce is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and
3 different lampshades. Each lampshade comes in 3 different colors. Bryce also needs to
choose one of the 2 kinds of lightbulbs available. How many different lamps can Bryce choose?
Answer:
80 lamps
Step-by-step explanation:
number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices
5*(3*3)*2
=5*9*2
=40*2
=80
hope it helps :)
What is the number of possible outcomes for the tree diagram below?
Answer: A. 9
Step-by-step explanation:
In the given tree diagram , there are 3 branches , to each branch there are 3 leaf nodes.
By using Fundamental counting principal ,
Number of possible outcomes for the tree diagram = (Number of branches) x (Number of leaf nodes)
[tex]=3 \times 3\\\\=9[/tex]
Hence, the number of possible outcomes for the tree diagram = 9
So, the correct option is A. 9.
Three different divers kept track of the number of treasure boxes they've found this year. Diver Dives Treasure boxes found Scuba Sam 11 33 Wet Suit Willy 18 81 Deep Diving Dan 26 104 Which diver found the most treasures per dive?
Answer:
Wet Suit Willy found the most treasures per dive.
Step-by-step explanation:
Given:
Diver name Number of dive Number of boxes
Sam 11 33
Wet Suit Willy 18 81
Deep Diving Dan 26 104
Find:
Who found the most treasures per dive
Computation:
Sam's per dive collection = 33 / 11 = 3 boxes
Wet Suit Willy's per dive collection = 81 / 18 = 4.5 boxes
Deep Diving Dan's per dive collection = 104 / 26 = 4 boxes
Wet Suit Willy found the most treasures per dive.
Which of the following equations describes the graph?
Answer:
I Think it is the 3rd equation
Step-by-step explanation:
Find the output. y. when the input. r. is 7.
Answer:
When x = 7, y = 4
Step-by-step explanation:
We are simply looking for the y-value for when the graph input x equals 7. When we look at the graph when x = 7, we see that our y-value y equals 4.
Answer:
x=7 y=4
Step-by-step explanation:
10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH.
1. Y = 2x + 3
2. Y = 3/4x - 2
Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
Answer:
slope: 1.) 2 ,,, 2.) 3/4
y-int: 1.) (0,3) ,,, 2.) (0,-2)
graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2
Step-by-step explanation:
The ratio of boys and girls in the school
chorus is 4 to 5. There are a total of 20
boys in the chorus. How many students are
in the chorus?
Answer:
45
Step-by-step explanation:
20 boys= 5 times the ratio
So, 5x5=25
25 girls and 20 boys= 45 students
Answer:
45 students
Step-by-step explanation:
to make sure there are 20 boys you need to multiply 4 by 5
so multiply the 5 by 5 as well
then add what you get!!
Find an equation of the line: through the points (4,2) and (3,1). PLEASAE HELP I ONLY HAVE 20 MINS LEFT
Answer:
y=x+-2
Step-by-step explanation:
Slope intercept form is y=mx+b
I plugged in the slope for m and y-intercept for b
sorry i did this real fast because it sounded urgent :)
Find the.equation of the line through point (-4,1) and parallel to y=-1/2x -2
Answer: y = -1/2x -1
Step-by-step explanation: since the new line is parallel to the given line the slope of both the lines world be same. Therefore putting the new values in the equation
y-y1=m(x-x1)
y-1=-1/2(x+4)
y-1=-1/2x -2
y=-1/2x-1
Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?
Answer: she needs to work 8 hours
Step-by-step explanation:
Quadrilaterals L M N O and Q R S T are shown. Given that LMNO ≅ QRST, complete the statements. Side LM is congruent to side . Angle MNO is congruent to angle .
When you have two congruent figures, the vertices are listed in the same order. This means that
Side LM ≅ Side QR, Side MN ≅ Side RS, etc. The same applies for the angles.
Therefore, Side LM ≅ Side QR and Angle MNO ≅ Angle RST.
The complete statements are Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.
What is congruent quadrilateral?The two quadrilaterals whose angles and sides of one quadrilateral are the same as the corresponding angles and sides of another quadrilateral then two quadrilaterals are congruent to each other.
The order of the lettering for congruent parts should place the lettering for corresponding parts in the same order.
Given in the question that the quadrilateral LMNO and QRST are congruent.
LMNO ≅ QRST
As we know Congruent Parts of the congruent Figures are also congruent, we have;
side LM is congruent to side QR.
side MN is congruent to side RS.
side NO is congruent to side ST.
side OL is congruent to side TQ.
Similarly, for the corresponding angles of the quadrilaterals, we have;
angle ∠MNO is congruent to angle ∠RST.
angle ∠NOL is congruent to angle ∠STQ.
angle ∠OLM is congruent to angle ∠TQR.
angle ∠LMN is congruent to angle ∠QRS.
Therefore, Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.
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