Answer: Slope = 10.000/2.000 = 5.000
x-intercept = 7/-5 = -1.40000
y-intercept = 7/1 = 7.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-2-(5*(x+1))=0
STEP
1
:
Equation at the end of step 1
(y - 2) - 5 • (x + 1) = 0
STEP
2
:
Equation at the end of step 2
y - 5x - 7 = 0
STEP
3
:
Equation of a Straight Line
3.1 Solve y-5x-7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000
y-intercept = 7/1 = 7.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/-5 Our line therefore "cuts" the x axis at x=-1.40000
x-intercept = 7/-5 = -1.40000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 17.000 - 7.000 = 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 10.000/2.000 = 5.000
Geometric figure: Straight Line
Slope = 10.000/2.000 = 5.000
x-intercept = 7/-5 = -1.40000
y-intercept = 7/1 = 7.00000
large pizza costs $8.95, plus $0.65 for additional toppin. Remi paid $10.90 for a large pizza. How many additional toppings did she get?
Answer: 3 toppings
Step-by-step explanation:
I used a calculator
Answer:
3 toppings
Step-by-step explanation:
Two teams competed to raise money. Team 1 initially had $25 and collected $5 per day. Team 2 initially had $51 and collected $3 per day. On which day did the teams have the same amount of money?
Answer:
Day 13
Step-by-step explanation:
If you add on both side 13 time you get 90
PLZ HELP!!! I HAVE ONLY 15 MINUTE LEFT BEFORE CLASS IS OVER!!!!
Answer:
268
Step-by-step explanation:
please help me on this!
Answer:
[tex] {9}^{ - 8} [/tex]
Step-by-step explanation:
[tex] \frac{ {9}^{ - 5} }{ {9}^{3} } [/tex]
[tex] {9}^{ - 5 - (3)} [/tex]
[tex] {9}^{ - 5 + (- 3)} [/tex]
[tex] {9}^{ - 8} [/tex]
The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)
Answer:
Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5
Step-by-step explanation:
Answer:
The answer is A or (-3,1),(-3,5),(0,5)
Step-by-step explanation:
I guessed on E d g e (2021) and got it right :)
40 plus 40 minus 20 times 0 plus 3 plus 125 equals what
9514 1404 393
Answer:
208
Step-by-step explanation:
The order of operations requires that the multiplication be done before addition or subtraction.
40 + 40 - 20×0 + 3 + 125
= 40 + 40 - 0 + 3 + 125
= 80 - 0 + 3 + 125
= 80 + 3 + 125
= 83 + 125
= 208
__
The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)
Answer:
208
40 plus 40 minus 20 times 0 plus 125 in written form:
40 + 40 - 20 × 0 + 3 + 125
In order to get our answer 208, we must do it step by step:
First, we need to put 40 plus 40 into an equation:
40 + 40 = 80
Now that we have 80, we need to find 20 times 0:
20 x 0 = 0
Since 20 times 0 equals 0, we can now add 80 plus 3:
80 + 3 = 83
Now what we have left is to add 83 plus 125 which will give us our answer:
83 + 125 = 208!
The answer will be 208.
Hope this helps!
~Hocus Pocus
Mark invests $6,700 in an online savings account which gives 4.2% simple annual interest. He also invests $6,000 in a savings account at his local bank which gives 6.9% simple annual interest. After fifteen years how much more interest will it have earned, to the nearest dollar?
Answer:
$4,221.00 for online and 6,210.00 for the instore
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.2%/100 = 0.042 per year.
Solving our equation:
A = 6700(1 + (0.042 × 15)) = 10921
A = $10,921.00
The total amount accrued, principal plus interest, from simple interest on a principal of $6,700.00 at a rate of 4.2% per year for 15 years is $10,921.00.
Calculation:
First, converting R percent to r a decimal
r = R/100 = 6.9%/100 = 0.069 per year.
Solving our equation:
A = 6000(1 + (0.069 × 15)) = 12210
A = $12,210.00
The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 6.9% per year for 15 years is $12,210.00.
Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)
Answer:
[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]
Step-by-step explanation:
The standard form of a complex number:
[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]
[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]
EMERGENCY, EMERGENCY, I WILL GIVE BRAINLIEST
[tex]\frac{1}{4} (2x^{2}-12) = 15[/tex]
Solve for x, do ur steps!!!!!!
Identify the initial amount and the growth rate of the following:
Y = 9.8 (1.35)^t
D(n) = \dfrac{5}{16} \left(2\right)^{n - 1}d(n)= 16 5 (2) n−1 d, left parenthesis, n, right parenthesis, equals, start fraction, 5, divided by, 16, end fraction, left parenthesis, 2, right parenthesis, start superscript, n, minus, 1, end superscript What is the 5^\text{th}5 th 5, start superscript, start text, t, h, end text, end superscript term in the sequence?
Answer:
d(5) = 5
Step-by-step explanation:
The nth term is given by :
[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)
We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.
[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]
So, the 5th term in the above sequence is 5.
Answer:
5
Step-by-step explanation
Candice is playing an online trivia game. She has 75 points and earns 3 points for each correct answer. She will advance to the next round if her score is over 90 points which statement best describes how antibiotics are used?a75x + 3 > 90 b3x + 90 90 d3x + 75 < 90
Using a linear function, the statement that best describes when she advances to the next phase is: 75 + 3x > 90.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering that she already has 75 points, and earns 3 points for each correct answer, her score is modeled by the following function:
T = 75 + 3x.
She advances to the next phase if she scores over 90 points, hence the statement is:
T > 90
75 + 3x > 90.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Answer:
c.3x+75>90
Step-by-step explanation:
Complete the proof that AFGH isn't similar to AJIH.
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many
students are girls?
Answer:
16 students are girls.
Step-by-step explanation:
5:4=36
5x+4x=36
9x=36
x=4.
So we can multiply the ratio by 4.
4(5+4)
20+16.
Since girls is 4, there are 16 girls.
Hope this helps plz hit the crown :D
Answer:
let ratio of boys and girl be 5x and 4x
now
5x+4x=36
9x=36
x=36÷9
x=4
now
number of boys in class is 5x=5*4=20
Number of girls in class is= 4x
=4*4
=16 ans
Solve the system of linear equations by graphing.
y=-42 +3
40 - 2y = 6
Answer:
its a i did it on egn
Step-by-step explanation:
Plz answer this!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Answer:
1/2 ÷ 3/10
1/2×10/3
5/3
1 2/3
1) option is correct
9514 1404 393
Answer:
1) 1 2/3
Step-by-step explanation:
The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.
1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3
A toddler section of a pool mesures 7 feet by 8 feet. What is area of the toddler section
Answer:
56 ft^2
Step-by-step explanation:
once there was a fox in a jungle. He was so hungry that he started moving in the forest searching for food. complete the story
Answer:
Step-by-step explanation:
he found some grapes
he tried to reach them but couldnt
he eventually gave up
so he just said "theyre
sour anyways"
so he said
The equation 4 = p(l+r) can be used to calculate compound interest on a savings account. A = future balance
p= current balance, r= rate of interest, and t= time in years. If you deposit $2,000 at 10% each year, how much
money will be in your account in 10 years? (Round to the nearest dollar.)
A 2200
B. 4000
C. 4318
D. 5,187
What does this mean? Its REALLY important I get this right.
The correct answer is Option A
[△SRT]
Answer:
[tex]\triangle{SRT}[/tex]
Step-by-step explanation:
You can eyeball this question and you can easily see that [tex]\angle{R}=\angle{M}[/tex] and [tex]\angle{S} = \angle{N}[/tex] so then the answer would be [tex]\triangle{SRT}[/tex]
Given the figure below, find the values of x and z.
Answer:
x=9 z=108
Step-by-step explanation:
72+9=81
81/9=9
x=9
72+72=144
360-144=216
216/2=108
z=108
-18 > -2(2x + 9) - 4+x
Answer:
x>-4/3 last answer i got i hope it is helpful have a nice day
its all in the picture
Answer:
6
Step-by-step explanation:
..............................
Answer:
f(- 3) = 6
Step-by-step explanation:
f(- 3) means what is the value of f(x) when x = - 3
Locate x = - 3 on the x- axis
Then go vertically up to meet the graph at (- 3, 6 )
The value of f(- 3) is therefore 6, that is
f(- 3) = 6
Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn
-1
Step-by-step explanation:
because looking at the graph it is negative, and it goes down one over one
Solve each system using substitution or elimination. Show all required work. -10x^2+80x+y=155 5x^2-40x+y=-85
Answer:
[tex]x = 4[/tex]
[tex]y = -5[/tex]
Step-by-step explanation:
Given
[tex]-10x^2+80x+y=155[/tex]
[tex]5x^2-40x+y=-85[/tex]
Required
Solve by substitution
Make y the subject in [tex]5x^2-40x+y=-85[/tex]
[tex]5x^2-40x+y=-85[/tex]
[tex]y = -5x^2 + 40x - 85[/tex]
Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation
[tex]-10x^2+80x+y=155[/tex]
[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]
Collect Like Terms
[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]
[tex]-15x^2 + 120x-240=0[/tex]
Divide through by -15
[tex]x^2 -8x + 16 = 0[/tex]
[tex]x^2 - 4x - 4x + 16 = 0[/tex]
[tex]x(x - 4) - 4(x - 4) = 0[/tex]
[tex](x - 4)(x - 4) = 0[/tex]
[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]
[tex]x = 4[/tex] or [tex]x = 4[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]
[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]
[tex]y = -5*16 + 40 * 4 - 85[/tex]
[tex]y = -80 + 160 - 85[/tex]
[tex]y = -5[/tex]
Чу- 8х + 5x - Зу
OOoO
im gonna assume that ur just simplifying this equation so here it is
y-3x
hope this helped!!
what is the answer to the question?
Answer:
120°
Step-by-step explanation:
m<ABD+m<DBC=m<ABC
61°+59°=120°
hope this helped!
Answer:
We conclude that the value of m∠ABC = 120°
Step-by-step explanation:
Given
m∠ABD = 61°
m ∠DBC = 59°
To Determine
m∠ABC = ?
It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.
Therefore,
m∠ABC = m∠ABD + m∠DBC
= 61° + 59° ∵ m∠ABD = 61°, m ∠DBC = 59°
= 120°
Therefore, we conclude that the value of m∠ABC = 120°
The temperature is 8° Fahrenheit. If the weatherman predicts the
temperature will drop 12° within the next eight hours, what will the
temperature be?
Answer:
-4 degrees Farenheit
Step-by-step explanation:
8-12=-4
5. Which expression is equivalent to x2 - 17 x - 60?
What is the rate of change of the following equation? y = -5/3x
Answer: -5/3
Step-by-step explanation:
In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.