I need the answer! I snap a pic to try n get it but no answer lol someone help!!! I’m on the clock
Answers
The given equation is
x^2 + 7x = 8
By subtracting 8 from both sides, it becomes
x^2 + 7x - 8 = 0
We would find two terms such that their sum or difference is 7x and the product is - 8x^2. The terms are - x and 8x. Replacing 7x with - x and 8x, we have
x^2 - x + 8x - 8 = 0
By factorising, we have
x(x - 1) + 8(x - 1) = 0
Since x - 1 is common, it becomes
(x + 8)(x - 1) = 0
x + 8 = 0 or x - 1 = 0
x = - 8 or x = 1
Option C is correct
Related Questions
Games at the carnival costs $7 each. The prizes awarded to the winners costs the owner $177.35. How many games must be played for the owner to make at least $75.
Use g as your variable. Round your inital answer to the nearest hundredth.
Answers
At least 36.05 games should be played for the owner to make at least $75.
Let the number of games played = g
According to question,
Cost of each game = $7
Cost of g games = 7g
Prizes awarded to the winner costs the owner = $177.35
To make at least $75, the equation is
7g - 177.35 ≥ 75
7g ≥ 75 + 177.35
7g ≥ 252.35
g ≥ 252.35 / 7
g ≥ 36.05
Hence, at least 36.05 games should be played.
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estimated sales volume =47.81+0.47(Advertising Expenditures)If the company has a target sales volume of $175,000,how much should the sales manager allocate for the advertising in the budget ? round your answer to the nearest dollar
Answers
We are given an estimate equation.
Let the estimate sales volume be "s" and advertising expenditure be "a".
The given equation is:
[tex]s=47.81+0.47a[/tex]The company has a target sales of 175,000, which is a value for "s".
To get how much they need to allocate for advertising, we can solve for "a" in the equation and substitute the "s" value with 175,000:
[tex]\begin{gathered} s=47.81+0.47a \\ 47.81+0.47a=s \\ 0.47a=s-47.81 \\ a=\frac{s-47.81}{0.47} \end{gathered}[/tex]Now we substitute 175,000 into "s":
[tex]a=\frac{175,000-47.81}{0.47}=\frac{174,952.19}{0.47}=372,238.7021\ldots\approx372,239[/tex]So, by the equation estimate, the sales manager should allocate $327,239 for advertising.
Ms. Perea wants to cover the floor withrectangular tiles that measure 1.5 feet by0.8 feet. Which equation can be used tofind t, the number of tiles she will need tocover the kitchen floor?
Answers
We need to find the area of a rectangle. The area of a rectangle is given by:
[tex]\begin{gathered} A=w\cdot l \\ where\colon \\ w=width \\ l=length \\ \end{gathered}[/tex]The rectangular tiles that measure 1.5 feet by 0.8 feet. So the area of each tile is:
[tex]At=1.2ft^2[/tex]Therefore, the number of tiles will be the total area of the floor divided by the area of each tile:
[tex]\begin{gathered} t=\frac{A}{At} \\ t=\frac{A}{1.2} \\ t=(22.5\times12.5)\div(1.5\times0.8) \end{gathered}[/tex]Jerome and Tara played in a golf
tournament with four rounds. Their
scores for the rounds are given below.
If their final score is the sum of their
four rounds, which statement is true?
Round 1 Round 2 Round 3 Round 4
-4
5
-6
-2
2
-5
-4
-1
Jerome
Tara
Answers
Answer:JEROME
Step-by-step explanation:
Points A and C are two opposite
vertices of the ABCD square. Find the
area of this square.
A(3,2), C(7,2)
Answers
The area of the square is 8 square units.
According to the question,
We have the following information:
Points A and C are two opposite vertices of the ABCD square.
The coordinates of these points are A(3,2), C(7,2).
Now, we will use the distance formula to find AC:
d = [tex]\sqrt{(y2-y1)^{2}+ (x2-x1)^{2} }[/tex]
d = [tex]\sqrt{(2-2)^{2}+ (7-3)^{2} }[/tex]
d = [tex]\sqrt{4^{2} }[/tex]
d = 4 units
Now, when A and C are opposite vertices then AC is a diagonal.
Side of the square = diagonal/[tex]\sqrt{2}[/tex]
Side = 4/√2 units or 2√2 units
Formula to find the area of square:
Side*side
2√2*2√2
4*2
8 square units
Hence, the area of the square is 8 square units.
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HELPPPP IM FAILING
In ^CDE, DE= CD and m/D = 29°. Find m/C.
Answers
Answer:
<C=75.5⁰
Step-by-step explanation:
<C=<E
<C+<E+<D= 180⁰
<C+<E= 180⁰-29⁰
<C+<C= 151⁰
2<C= 151⁰
<C= 151⁰/2
<C= 75.5⁰
Given the end points of A(-8,-2) and B(6,19). The segment AB is divided into the ratio atAR:RB in a 2:5 ratio. Find the coordinates of point R.R=
Answers
The given coordinates in the question are
[tex]\begin{gathered} A=(-8,-2)\text{ = x1=-8, y1=-2} \\ B=(6,19)\text{ = x}2=6,y2=19 \end{gathered}[/tex]Let the coordinate at R be
[tex]R=(x,y)[/tex]The ratio of the line segment given is
[tex]AR\colon RB=2\colon5\text{ (m=2,n=5)}[/tex]The formula to calculate the coordinate of a line segment in a given ratio is given below as
[tex](x,y)=(\frac{mx_2+nx_1}{m+n}),(\frac{my_2+ny_1}{m+n})[/tex][tex]undefined[/tex]EUREKA M
3. Give an example of a scale factor that produces an enlargement. Explain why you chose this
scale factor.
on. Explain why you chose this
scale factor.
Answers
We will take an example of a rectangle with a scale factor of enlargement by 2.
For example, consider a rectangle with dimensions of 6 cm and 3 cm.
If we increase the scale factor for the initial rectangle by 2, both sides of the rectangle will be doubled. By raising the scale factor, we mean multiplying the present rectangle measurement by the supplied scale factor. We have multiplied the original rectangle measurement by 2 here.
The rectangle's length was originally 6 cm and its width was 3 cm.
After multiplying by two, the length is 12 cm and the width is 6 cm.
Thus, we took an example of a rectangle with a scale factor of enlargement by 2. We consider this for a better understanding.
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Kaitlyn flew 630 miles in 60 minutes. How many miles per minute did she fly?
Answers
Answer:
10.5 miles per minute
Step-by-step explanation:
630/60=10.5
A square pyramid and a square prism have the same length, width, and height. If the volume of the square prism is 900in3 , what is the volume of the square pyramid?
Answers
A square pyramid and a square prism have the same length, width, and height. If the volume of the square prism is 900in3 , what is the volume of the square pyramid?
we know that
The volume of the square prism is equal to
[tex]V=b^2\cdot h[/tex]where b is the length side of the square base and h is the height of the prism
The volume of the square pyramid is
[tex]V=\frac{1}{3}\cdot b^2\cdot h[/tex]Remember that
the volume of the square prism is 900in3
so
[tex]900=b^2\cdot h[/tex]substitute in the formula of volume of the pyramid
[tex]\begin{gathered} V=\frac{1}{3}\cdot b^2\cdot h \\ \\ V=\frac{1}{3}\cdot900 \\ V=300\text{ in\textasciicircum{}3} \end{gathered}[/tex]the volume of the pyramid is 300 cubic inchesjamila has a weather station in her backyard. She uses a rain gauge to track the total rainfall during storms. Answer the following questions to compare the storms. 1. Jamila graphs the function describing Mondays rainfall. is the graph nonlinear or linear? how do you know? 2. What is the real-world meaning of the slope of this graph? 3. Next, Jamila graphs functions describing Thursdays rainfall. Is this graph linear or nonlinear? how do you know? 4. what does the y-intercept of the graph of Mondays storm mean? Does the y-intercept of the the graph of Thursday's storm have the same meaning?
Answers
2.
slope: rise(precipitation) / run (time)
In the real world, the slope means the relationship between time and precipitation.
3. AS the time increases, the precipitation increases. Is a linear function.
4. The y-intercept (0,y) means the amount of precipitation when no time passed since tracking.
Both y-intercepts have the same meaning.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]
I need some help with this problems please Number 10
Answers
Explanation:
We can see that this is an isosceles triangle, because there are two sides that are 4 units long and the third side is 3 units long.
For isosceles triangles we have the following congruences:
Therefore angle x is congruent to the one that's 66º.
Then we have that the measures of the interior angles of any triangle add up 180º:
[tex]\begin{gathered} yº+xº+66º=180º \\ y+66º+66º=180º \\ y+132º=180º \\ y=180º-132 \\ y=48º \end{gathered}[/tex]Answers:
• x = 66º
,• y = 48º
help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
Answers
The width of the rectangle is equal to 3.42 meters
Let the width of the rectangle be represented by the variable x
thus from the question we can say that the length of the rectangle is 3 + x
Given is the area of the rectangle
we know that the area of the rectangle is Length × Breadth
Given area of the rectangle = 22 square meters
thus Area = Length × Breadth
On substituting the value we get
22 = ( 3 + x ) ( x )
x² + 3x = 22
x² + 3x - 22 = 0
b² - 4ac = 9 + 88 = 97
thus - b ± [tex]\sqrt{b^{2} -4ac}[/tex] / 2a
= - 3 ± 9.84 / 2
Thus the two values of x we will get are :
x= -12.84 / 2 = -6.42 which is rejected because width cant be negative
thus the value of x = 6.84 / 2 =3.42 meters
Thus we get values of x as
x = 3.42 meters
Thus the required width of the rectangle = 3.42 meters
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Only 1 and 2 pls helppp
Answers
Answer:
See the attached image for work.
1) The slope is 4.
2) The slope is 2.
Answer:
on the first one the rise is 20 and the run is 5. 5 divided by 20 is 4 so the slope is 4. I haven't answered the second one yet, sorry.
Find g(x), where g(x) is the translation 5 units left of f(x) =3(x+5)^2 -7
Answers
The rule for the translated function is:
g(x) = 3*(x + 10)^2 - 7
How to find the rule for g(x)?
First, we know that for a function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
If N > 0, the translation is to the left.
if N < 0, the translation is to the right.
A translation of 5 units to the left is written as:
g(x) = f(x + 5)
Replacing f(x) we get:
g(x) = 3*(x + 5 + 5)^2 - 7
g(x) = 3*(x + 10)^2 - 7
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need help asappppppp
Answers
We are asked to determine the volume of the cylinder. To do that we will use the following formula:
[tex]V=\pi r^2h[/tex]Where "r" is the radius and "h" is the height. Replacing the values:
[tex]V=(3.14)(4cm)^2(10\operatorname{cm})[/tex]Solving the operations:
[tex]V=502.4cm^3[/tex]Therefore, the volume is 502.4 cubic centimeters.
a ferris wheel casts a 42 m shadow. a man two meters tall casts a 3 m shadow. how tall is the first wheel (in meters)?
Answers
The ferris wheel cast a shadow of 42 meters Tall.
A man of height 2 meters cast a shadow of 3 meters . The height of the ferris wheel can be computed below
[tex]\begin{gathered} 2\text{ meters = 3 meters} \\ x\text{ meters=42 meters} \\ \text{cross multiply} \\ 3x=84 \\ x=\frac{84}{3} \\ x=28\text{ meters} \end{gathered}[/tex]height of the ferris wheel = 28 meters
The product of eight and a number b
Write a variable expression for the word phrase
Answers
Explanation: product means multiply. You can either write the answer as “8b” or “8xb” or even “8•b”
what is the population standard deviation for the numbers 75,83,96,100,121,125
Answers
Answer: 332.6667
Step-by-step explanation: trust
A line passes through the point (1, -6) and has a slope of 9.Write an equation in point-slope form for this line.
Answers
EXPLANATION
Given the point (1,-6) and the slope 9 the equation in point-slope form is given by the following form:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope and (x_1,y_1)=(1,-6)
Replacing terms:
[tex]y-(-6)=9(x-1)[/tex]Applying the subtraction property:
[tex]y+6=9(x-1)\longrightarrow\text{ point-slope form}[/tex]
Horatios haunted house
Answers
The ratio of screamers to runners are 4:6 and 10:15.
Given,
the ratio of customers who screams and customers who run away is 2:3
Let
number of screamers be 'x'
number of runners be 'y'
To find number of screamers we can solve the ratio in proportion,
[tex]2:3::x:6\\\frac{2}{3}=\frac{x}{6}\\ \frac{2*6}{3}=x\\ 4=x[/tex]
Verify: [tex]4:6=2:3[/tex]
To find number of runners we can solve the ratio in proportion,
[tex]2:3::10:y\\\frac{2}{3}=\frac{10}{y}\\ {y}=\frac{3*10}{2}\\ y=15[/tex]
verify:[tex]10:15=2:3[/tex]
Hence, the ratio of screamers to runners are 4:6 and 10:15.
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Tic, Tac and Toe are siblings. Toe is Tic and Tac's brother
but Tic is not Toe's brother. How is Tic related to Toe?
Answers
Answer: Tic is either Toe's brother or sister.
Step-by-step explanation: There's really no explanation. It's just outside the box thinking.
5 less than the square of a number
Answers
x^2 - 5 this will be the equation formed.
What is exponents?An exponent is the number of times a number is multiplied by itself. For example, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of one is itself.
Calculationlet the number be x
x^2 - 5 this will be the equation formed
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In the equation (x + 4)^2 = 49, if x equals 3 what is another solution for x?
Please answer quickly.
Answers
Javier has a balance of $216 on his game store gift card. He spends $59 on each game he buys from the store.
slope =
y-intercept =
PLEASE J NEED HELP NOWW
Answers
slope is -59
y int is 216
Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].
What is the slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here given that,
Javier has a balance of $[tex]216[/tex] on his game store gift card. He spends $[tex]59[/tex] on each game he buys from the store.
So, the equation is of the form
[tex]y=-59x+216[/tex]
But we know line of equation is
[tex]y=mx+c[/tex]
where [tex]m[/tex] is the slope and [tex]c[/tex] is the intercept.
i.e,
slope is [tex]-59[/tex]
[tex]y[/tex] int is [tex]216[/tex]
Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].
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A true-false test contains 13 questions. In how many different ways can this test be completed. (Assume we don't care about our scores.
Answers
Answer:
Explanation:
There are two possible answers for a tue-false test:
True and False
It is given
HELPPP PLEASEE!
Raul claims his graph shows a proportional relationship because the data forms a straight line. He also claims his graph shows he read 1.5 pages per minute. Are Raul’s claims correct? Justify your reasoning. Write an equation to represent the data in the graph.
Answers
the answer is below Learm!!!
Step-by-step explanation:
maybe if u learn in school u would get the answer bum
Find a pair of adjacent angles:4 and 14Find a pair of vertical angles:233 and 21)
Answers
SOLUTION
By definition, adjacent angles are (of a pair of angles) formed on the same side of a straight line when intersected by another line.
Vertical Angles are the angles opposite each other when two lines cross.
Going by this above definition, a pair of adjacent angles in the figure in Q1 are:
4 and 2.
Going by this above definition, a pair of vertical angles in the figure in Q1 are:
3 and 2.
How to find the GCF of 65,39,and 13
Answers
Answer:
13
Step-by-step explanation:
65 ÷ 13 = 5
39 ÷ 13 = 3
13 ÷ 13 = 1
(All can be divided by 13 so the GCF is 13)