Answer:
[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2+5x+7,\:y=x+4\mathrm{\:are\:}[/tex]
[tex]\begin{pmatrix}x=-1,\:&y=3\\ x=-3,\:&y=1\end{pmatrix}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]y=x^2\:+\:5x\:+\:7[/tex]
[tex]y\:=\:x\:+4[/tex]
steps to solve the system of the equations
[tex]\begin{bmatrix}y=x^2+5x+7\\ y=x+4\end{bmatrix}[/tex]
subtract the equations
[tex]y=x^2+5x+7[/tex]
[tex]-[/tex]
[tex]\underline{y=x+4}[/tex]
[tex]y-y=x^2+5x+7-\left(x+4\right)[/tex]
[tex]0=x^2+4x+3[/tex]
solving
[tex]0=x^2+4x+3[/tex]
[tex]\left(x+1\right)\left(x+3\right)=0[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x+3=0[/tex]
[tex]x=-1,\:x=-3[/tex]
[tex]\mathrm{Plug\:the\:solutions\:}x=-1,\:x=-3\mathrm{\:into\:}y=x^2+5x+7[/tex]
substitute [tex]x=-1[/tex] into [tex]y=x^2+5x+7[/tex]
[tex]y=x^2+5x+7[/tex]
[tex]y=\left(-1\right)^2-5\cdot \:1+7[/tex]
[tex]y=1-5+7[/tex]
[tex]y=3[/tex]
Now substitute [tex]x=-3[/tex] into [tex]y=x^2+5x+7[/tex]
[tex]y=x^2+5x+7[/tex]
[tex]y=\left(-3\right)^2+5\left(-3\right)+7[/tex]
[tex]y=3^2-15+7[/tex]
[tex]y=3^2-8[/tex]
[tex]y=9-8[/tex]
[tex]y=1[/tex]
[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2+5x+7,\:y=x+4\mathrm{\:are\:}[/tex]
[tex]\begin{pmatrix}x=-1,\:&y=3\\ x=-3,\:&y=1\end{pmatrix}[/tex]
PLEASE HELP As a part-time job, ethan makes deliveries for a caterer. In addition to his weekly salary, he is also paid 16$ Per delivery. Last week, he made 5 deliveries and his total salary was $215. Write a linear equation to find Ethan's total weekly salary S if he makes d deliveries.
you know he made 5 deliveries for $16 each. 5*16=80. So to find his salary you have 215-80=$135.
So he makes $135 no matter what plus $16 times the number of deliveries.
so, S=16d+135
PLD HELP ME I WILL FAIL PLS
Answer: 3 1/3
Step-by-step explanation: the answer is 9 3/4 but i simplified it. hope i could help:)
If the equation y=3x−1 y = 3 x − 1 were graphed on the xy-coordinate plane, which of the following would not be a point on that graph?
Answer:
See Explanation
Step-by-step explanation:
This question requires options.
Since, there are none, I'll answer on a general term.
For a coordinate point to be on the graph, the x and y value when substituted in the given equation must make the equation true.
Take for instance
(x,y) = (1,2)
This implies that
x = 1
y = 2
Substitute values of x and y in
y = 3x - 1
We have:
2 = 3 * 1 - 1
2 = 3 - 1
2 = 2
Notice that both sides of the equation are equal.
Hence
(1,2) lies on the xy coordinate plane.
However,
Take for instance (x,y) = (2,4)
This means
x = 2 and y = 4
Substitute values of x and y in
y = 3x - 1
4 = 3 * 2 - 1
4 = 6 - 1
4 ≠ 5
The above does not represent an equation because 4 is not equal to 5.
Hence, (2,4) does not lie on the coordinate plane
So, to answer your question, you need to substitute values of x and y in the given equation.
Which ever of the options that does not show equality answers your question.
The sixth-graders at Norma's school got to choose between a field trip to a museum and a field trip to a factory. 40% of the sixth-graders picked the museum. If there are 65 sixth-graders in all at Norma's school, how many sixth-graders went on the trip to the museum?
Answer:
26 students picked the museum.
Step-by-step explanation:
65x.40=26
50 is 20% of what ? Round to the nearest tenth is needed
Answer:
250
Step-by-step explanation:
20% of 250 is 50. 100% of 250 is 250, therefore 20 percent of 250 equals 50.
More simplified explanation: The question is asking if 50 is 20% of a number, what is the number? So we know that 20% is 1/5 of 100%; if we know that 50 is 20% of something, then we would multiply 50 by 5 to get the answer. We would have to multiply 50 by 5 because if 50 is 20% of a number that would mean that 50 is 1/5 of the number we need to find, so to find the number, you to multiply 50 by 5.
Hope this helps!
what is the slope of line QR if Q(11,-2) and R(11,6)
Answer:
noe lsoocslo oqiuepcn
Step-by-step explanation:
mcm
Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
delivery times on different days.
(a) what is the equation of the line, first written in point-slope form and then written in slope- intercept form? show how you determined the equation.
(b) based on the linear model, predict how long it initially took peter to deliver his packages (y-intercept) approximately how much did his delivery time decrease per day (slope)? Complete sentences
Answer/Step-by-step explanation:
a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as [tex] y - b = m(x - a) [/tex], where,
m = slope, and (a, b) is a point on the line.
Using two points, (6, 12) and (3, 21), let's find slope, m.
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3 [/tex]
Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in [tex] y - b = m(x - a) [/tex].
✅Equation in point-slope form would be:
[tex] y - 12 = -3(x - 6) [/tex]
Rewrite this to make it be in the slope-intercept form, [tex] y = mx + b [/tex].
[tex] y - 12 = -3(x - 6) [/tex]
[tex] y - 12 = -3x + 18 [/tex]
Add 12 to both sides
[tex] y = -3x + 18 + 12 [/tex]
[tex] y = -3x + 30 [/tex]
✅The equation in slope-intercept form is [tex] y = -3x + 30 [/tex]
b. ✍️Based on the linear model, [tex] y = -3x + 30 [/tex], the 30 represents b = y-intercept.
✅Therefore, it took Peter 30 mins long initially to deliver his package.
✍️Based on the linear model, [tex] y = -3x + 30 [/tex], "-3" represents the slope.
✅Therefore, Peter's delivery time decreased 3 mins per day.
WHOEVER IS CORRECT GETS BRAINLIEST
The high temperature one day was 30°F. Then
the temperature dropped 23 degrees during the
night. Does the expression 30 + (-23) represent
the temperature at night? Explain
PLEASE EXPLAIN THE LAST PART BCS THEN IT GET MARKED WRONG. THANKS YOUUU
WHOEVER ANSWERS FIRST GETS BRAINLIEST
Answer:
yes because 30 + -23 and 30-23 gives the same value which is 7
Step-by-step explanation:
Kiran ate breakfast at a café. The total check was $5. Here is the money he left. Why did he pay $5.75?
Answer: Because of taxes i would think
Pleaseee help !! I’ll give brainliest !
If mAD = 22 in., and mBD = 14 cm, mAB = ____ ? Cm .
Postulate used: ???
Answer: 8 in
Step-by-step explanation:
mAB= 8 inches because AB is the difference of AD and BD. The postulate I used for this is the Part Whole Postulate, or PWP.
Solve 3x - 1 = 10
A. 3
B. 3/11
C. 11/3
Answer:
the answer is c
Step-by-step explanation:
you add 1 to both sides
3x=11
then divide by 3
so x=11/3
Answer:
11/3 is the answer to this questio
WILL GIVE BRAINLIEST find the value of (-4,r), (-8,3), m=-5 (show your work pls)
Answer:
r = -17
Step-by-step explanation:
Slope = -5
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\frac{3 - r}{-8-[-4]}=-5\\\\\frac{3-r}{-8+4}=-5\\\\\frac{3-r}{-4}=-5\\[/tex]
3-r = (-5)*(-4)
3 - r = 20
-r = 20 - 3
-r = 17
r = -17
Whats the value of 1111×111 in the binary form?
Answer:
01101001 value the decimal of this is 15×7/105
Question 7 (1 point)
7x – 1 = 4x + 5
X=
PLEASE HELP IM GONNA FAIL
Answer:
x = 2
Step-by-step explanation:
7x - 1 = 4x + 5
-4x -4x
move the variable to the other side
3x - 1 = 5
+1 +1
move the negative 1
3x = 6
3 3
divide
x = 2
HELPPPPP ASAP
This week Alison bought 96 bunches of carnations and 48 bunches of roses. Let the variable c represent the number of carnations in each bunch, and let the variable r represent the number of roses in each bunch. Write an expression to represent the total number of carnations and roses that Alison bought. Use your expression to determine the total number of carnations if there are 24 carnations in each bunch and the total number of roses if there are 12 roses in each bunch.
Answer:
r/c
Step-by-step explanation:
96/48
or
24/12
[tex](\sqrt{5} +\sqrt{2} )^{2}[/tex]
Step-by-step explanation:
5+2√5.2 +2
=7+2√10........
there are 28 pens in a full box. how many pens are in 35 full boxes
Answer:
980
Step-by-step explanation:
Multiply the number of pens in a box by the number of boxes.
The first box is either positive or negative and the second ambos is either odd or even pls help me tho
Answer:first is negative and positive im sure of it if i get im sorry tried my best
Step-by-step explanation:
Answer:
Positive, EvenStep-by-step explanation:
[tex]---------------------------------[/tex]
[tex]Here's[/tex] [tex]how[/tex] [tex]we[/tex] [tex]solve[/tex] [tex]it[/tex]
[tex]-2.5\cdot\frac{-3}{5}[/tex] = [tex]1.5[/tex] [tex]or[/tex] [tex]\frac{3}{2}[/tex]
[tex]1.5\cdot50[/tex] = [tex]75[/tex]
[tex]75\cdot\frac{1}{-4}[/tex] = [tex]-18.75[/tex] [tex]or[/tex] [tex]-\frac{75}{4}[/tex]
[tex]-18.75\cdot1.6[/tex] = [tex]-30[/tex]
[tex]-30\cdot-2[/tex] = [tex]60[/tex]
[tex]---------------------------------[/tex]
[tex]Here's[/tex] [tex]the[/tex] [tex]answer.[/tex]
[tex]-2.5\cdot\frac{-3}{5}\cdot50\cdot\frac{1}{-4}\cdot1.6\cdot-2[/tex] = [tex]60[/tex]
[tex]60[/tex] [tex]is[/tex] [tex]positive[/tex] [tex]and[/tex] [tex]is[/tex] [tex]an[/tex] [tex]even[/tex] [tex]number.[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
A group of cubes are arranged in a pattern with the same number of cubes in each row and column. There are 225
cubes in the shape. How many cubes are in one row?
A)
15
B)
25
0
56
D)
75
Given:
Total number of cubes = 225
Cubes are arranged in a pattern with the same number of cubes in each row and column.
To find:
The number of cubes in a row.
Solution:
Let the number of cubes in a row be x.
Since, cubes are arranged in a pattern with the same number of cubes in each row and column, therefore number of cubes in rows and columns are equal.
[tex]\text{Total cubes}=x\times x[/tex]
[tex]\text{Total cubes}=x^2[/tex]
Total number of cubes = 225
[tex]x^2=225[/tex]
Taking square root on both sides.
[tex]x=\sqrt{225}[/tex]
[tex]x=15[/tex]
So, the number of cubes in a row is 15.
Therefore, the correct option is A.
5x = 10 can someone help me
Answer:
X=2
Step-by-step explanation: To get a single
x
, divide
5
x
by
5
.
Whatever you do to one side of the equals sign, you must do to the other side. This means, to get the right answer, you must do
5
x
5
=
10
5
The
5
's on the left side of the equals sign cancel out so it would make
5x5=105
and then
x=105105
is equal to
2
so...
x=2
Answer: Hey user! x = 2.
Step-by-step explanation: Step 1: Divide both sides by 5.
5x /5 = 10 /5
x=2
Consider marking this answer as brainliest if it helped you out.
PLEASE ANSWER ASAP AND ILL MARK YOU BRANLIEST!!!
HELP NOWWWW!!!! A skier needs to buy new ski poles during a trip to Utah. The price of the poles is $24 and the sales tax is 4.7%. What is the total cost of the poles, including tax, rounded to the nearest cent?
Answer:
$25.13
Step-by-step explanation:
SALES PRICE = COST PRICE + SALES TAX
= $24 + $1.128 = $25. 128
to the nearest cent would be .13
Población de alces. Se introducen cíen alces en una reserva zoológica, cada uno de un año de edad. El número N(t) de animales vivos después de t años se predice mediante N(t) = 100(0.9) t Estima el número de animales vivos después de:
Answer:
El número de animales vivos después de 1, 5 y 10 años es 90, 60 y 35 respectivamente.
Step-by-step explanation:
Sabes que el número N(t) de animales vivos después de t años se predice mediante N(t) = 100*[tex]0.9^{t}[/tex]
Para estimar el número de animales vivos después de, por ejemplo, 1 año debes simplemente reemplazar el tiempo t por el tiempo correspondiente, en este caso 1 año:
N(1) = 100*[tex]0.9^{1}[/tex]
Resolviendo:
N(1) = 100*[tex]0.9^{1}[/tex]= 100*0.9= 90
De manera similar, podes estimar el número de animales vivos después de 5 y 10 años. Esto es, reemplazas t por 5 años:
N(5) = 100*[tex]0.9^{5}[/tex]= 100*0.59049= 59.049≅ 60
y t por 10 años:
N(10) = 100*[tex]0.9^{10}[/tex]= 100*0.3487= 34.86 ≅ 35
El número de animales vivos después de 1, 5 y 10 años es 90, 60 y 35 respectivamente.
i need to find x in #9 and w in #10
Step-by-step explanation:
9. 131+106+67+x=360
237+67+x=360
304+x=360
x=56
10. 90+90+146+w=360
180+146+w=360
326+w=360
w=34
Levi is playing a video game. The amount of points Levi earned in the first four rounds of the game is shown.
Round One: – 18
Round Two: 6
Round Three: – 5
Round Four: 4
What is the sum of the points Levi earned in all four rounds?
Answer:
-13
Step-by-step explanation:
6+4=10
-18+-5=-23
10+-23=-13
Answer:
the answer is -13
Step-by-step explanation:
A student writes the equation for a line that gas a slope of -6 and passes through the point (2,-8).
Y-(-8)=-6(x-2)
Y-(-8)=-6x+12
Y-(-8)+8=-6x+12+8
Y=-6x+20
Explian why the work is not correct.
Solve the equation.
−10=−b4
Answer:
b = 1.778279, −1.778279
Step-by-step explanation:
-10=b4 <----- Write your equation out
-10=[tex]\frac{b4}{4}[/tex] <----- Divide b4 by 4 to get b by itself.
[tex]\frac{-10}{4}[/tex]=b <----- Divide -10 by 4 because what you do to one side, you mjst do to the other.
-2.5=b <----- There is your answer; -2.5
Solve
10/r > 1; r = 5
Answer:
10/5 = 2
so its 2>1
Step-by-step explanation:
If you worked 120 hours in the summer and were paid $10 an hour, how much money would you expect to receive?
a store is having a 20% off so on all
merchandise if made buys one item and saves $13 what was the original price of the purchase explain or show your reasonings
Answer:
If a store is having a 20% off sale
By buying an item you save 20% of the price
If Mai saves $13 on an item she is also saving 20%
$13 = 20% of the price
$65 = 100% of the original price
$65 is your answer!