In the xy-plane, the line with equation
y = 4x - 28 crosses the x-axis at the point
with coordinates (a, b). What is the value
of a?
A. -28
B. -2
C. O
D. 5
E. 7​

Answers

Answer 1
Answer:  E.  7

=======================================================

Explanation:

Any point on the x axis always has its y coordinate equal to 0.

Plug in y = 0 and solve for x

y = 4x-28

0 = 4x-28

4x-28 = 0

4x = 28

x = 28/4

x = 7

Therefore, the point (7, 0) is on the line y = 4x-28 and also on the x axis. This is known as an x intercept.

Comparing (7, 0) this to (a, b) shows that a = 7 and b = 0.


Related Questions

Find the area of the Compound shape

The answer is 45 m^2

I just need the steps....

Answers

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

i need help asap math sucks and is hard
8th grade math

Answers

Answer:

Slope = [tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

(x₁ , y₁) = (-9 , -4)   & (x₂ ,y₂) = (-3, -6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}[/tex]

82 is what percent of 65.6?

Answers

Answer:

125

Step-by-step explanation:

82 percent of 65.6 is 125

Answer:

I hope I got your question correctly.

82% of 65.6 is 54.

Step-by-step explanation:

Consider this equation:

P%=[tex]\frac{x}{y}[/tex]

The value of P% here is 82, which is 0.82 in decimal form.

x is unknown

y is 65.6

Simply cross-multiply 65.6 and 0.82.

The result is 53.8 or 54.

Right inequalities to represent the situations below to get the 10% discount a shopper must spend at least $300 USD to represent the spending in dollars of a shopper who gets the discount

Answers

Answer:

D≥300

Step-by-step explanation:

3/4 divided by 4/3 whats the answer to this problem

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{3}{4} \div \frac{4}{3} = \frac{3}{4} \times \frac{3}{4} = ({ \frac{3}{4} })^{2} = \frac{9}{16} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

if 8 sugar cost 260 how much sugar can be brought for 877.500​

Answers

Answer:  27 kg of sugar can be bought for Rs. 877.50.

Step-by-step explanation:

Answer:

you could buy 28518.75 sugar for 877.500

Step-by-step explanation:

260 / 8 = 32.5

this gives you how much it cost per 1 (units)

32.5 * 877.50 = 28518.75

If the terminal side of angle A passes through (-5,2) find the value of sec A​

Answers

Answer:

The value of sec A = - √29/5

Step-by-step explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]

[tex]c^2=5^2+2^2[/tex]

[tex]c^2=25+4[/tex]

[tex]c^2=29[/tex]

[tex]c=\sqrt{29}[/tex]

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

         = hypotenuse/adjacent

         = √29/-5

         = - √29/5

Therefore, the value of sec A = - √29/5

Help asap!!

A container holds 80,000 ounces of water. There is a small leak in the container. Every 96 minutes​, 0.3 ounces of water leak out. Represent the total change in the amount of water in the container after 8 hours.

Answers

Answer:

Step-by-step explanation:

8hours=60×8= 480 minute

96minutes=0.3 ounces

480minutes =x ounces (use crisscross)

96x =144minutes

X= 144/96=1.5 ounces

Total change in the amount of water is

80,000-1.5=79998.5 ounces

If 7 toothpaste tubes cost 40.50 how much does one tube cost?

Answers

Answer:5.78

Step-by-step explanation: It is 5.78 bc do 40.50 divided by 7 and you will get your answer

Brainliest please???

Answer:

Each tube costs about $5.79.

Step-by-step explanation:

To find the cost of each tube, divide the total cost by the total number of toothpaste tubes.

40.50/7 = 5.785714286 which approximates to 5.79

Find the value of 2y if 2x - y = 5 and
x + y = 4.​

Answers

Answer:

the value of 2y would be 2

Step-by-step explanation: 3+1=4 so you would plug the 3 in for x and the 1 in for y to get 5

What equation is graphed in this figure?



y−4=−13(x+2)


y−3=13(x+1)


y+2=−3(x−1)


y−5=3(x−1)

Number graph ranging from negative four to four on the x and y axes. A line is drawn on the graph that passes through begin ordered pair negative one comma four end ordered pair and begin ordered pair one comma negative two end ordered pair

Answers

Answer:

C. [tex] y + 2 = -3(x - 1) [/tex]

Step-by-step explanation:

All we need to create an equation of the given graph is a point on the line (x1, y1) and the slope (m) of the line.

Thus, equation of in point-slope form is given as [tex] y - y_1 = m(x - x_1) [/tex].

Finding the slope (m) of the line of the graph given, using points (0, 1) and (1, -2).

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{1 - 0} = \frac{-3}{1} = -3 [/tex]

Substitute (x1, y1) = (1, -2) and m = -3 into [tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - (-2) = -3(x - 1) [/tex]

[tex] y + 2 = -3(x - 1) [/tex]

The answer is C.

Find the mean for the scores 3860,5300,8560,4,200,5360

Answers

Answer:

The mean is 5444

Step-by-step explanation:

Hope this helps!

Answer:

add and divide for the mean

Step-by-step explanation:

3860 + 5300 + 8560 + 4200 + 5360 = 27280

27280 ÷ 5 = 5456

Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.  

Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)

Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.

Answers

The distance between the points have been calculated.

What is the Distance Formula?

The distance formula is used to calculate distance between two points on a coordinate system.

The formula is

[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)

The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)

AB² =  (2-0)²+(4-4)²      

AB =     2

FG² =  (6-7)²+(1-1)²

FG =1                  

BC² =  (2-2)²+(3-4)²=1          

BC = 1

GH² =  (6-6)²+(1.5-1)²=0.5        

GH = 0.5

DI² =  (5-4)²+(2-2)²

DI = 1

HI² =  (5-6)²+(2-1.5)² = 1.25

HI =  1.12

DE² =  (4-4)²+(0-2)²

DE =    2

IJ² =  (5-5)²+(3-2)²

IJ = 1

EA² =  (0-4)²+(4-0)²      

EA = 5.66

JK² =  (7-5)²+(1-3)²    

JK =    2.83

The missing data of the question is

The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)

The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)

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If y= 1-x+x²/1+x-x² than how about y'=?
This question is about derived function.

Answers

Answer:

as

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

so

[tex]y'=0[/tex]

Step-by-step explanation:

Given the function

[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]

Taking derivative

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]

[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

as

[tex]\frac{d}{dx}\left(1\right)=0[/tex]         ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

substituting all the values in the expression      

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

[tex]=0-1+2x+1-2x[/tex]

[tex]=0[/tex]

Hence,

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

Therefore,

[tex]y'=0[/tex]

Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)

Answers

Answer:

no it is not because two different input values have the same output

Step-by-step explanation:

Answer:

Yes it is a function... Because we have output for each input

Solve for X.........

Answers

Answer:
x=-5

Explanation:
We can set our equation as this and solve:
(6)+(10)+(13+2x)=x+24
29+2x=x+24
Subtract both sides by 29
29+2x-29=x+24-29
2x=x-5
Subtract both sides by x
2x-x=x-5-x
x=-5

I hope this helps!

HELP ME PLEASE!!

Which equation describes this line!!

Answers

Answer:

Option A: y-9=2(x-1)

Step-by-step explanation:

Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)

The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.

Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)

B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)

C and D are wrong because the points aren't crossed through

(Giving brainliest!!!)

How do you solve 7,124 ÷ 26 using standard algorithm?

Answers

Answer:

274

Step-by-step explanation:

The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.

However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)

6*9+(6+9)=?

Plz I really need this in the next minute.

Answers

6*9+(6+9)= 6*9+15= 54+15=69 you have to use Pemdas

A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

Answers

Answer:

26.4%

Step-by-step explanation:

PLS GIVE BRAINLIEST

The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.

The probability of selecting a black pair of socks first is:

probability = (number of black pairs)/(total number of pairs)

= 8/17

Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.

The probability of selecting a blue or white pair of socks second is:

probability = (number of blue and white pairs)/(number of remaining pairs)

= 9/16

Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:

probability = (8/17)*(9/16)

= 27/136

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Please help or at least try and also I’m so sorry if u can’t read it well

Answers

Answer:
Proportional: A, E
Non-Proportional: B, C, D, F
Sorry if these aren’t right but I’m pretty sure they are

which branch of maths includes the most of other branches symbols/functions ect.​

Answers

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?

Answers

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

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What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  ( 0 , 0 ) x y 0 0 1 1

Monthly, Juan's net earnings are $6,000, and expenses are $5,000. If Juan saves the difference, how much will Juan have saved after 6 years

Answers

Answer:

$72,000

Step-by-step explanation:

6000-5000=1000

1000x6 =6000

6000x12=72,000

Find the slope of the lines that passes through the points (-8,-11) and (17,4).

Answers

Answer:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Step-by-step explanation:

The slope of a line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-8,-11) and (17,4).

[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]

[tex]\displaystyle m=\frac{15}{25}[/tex]

[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]

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Answers

Answer: 22 x 10 = 220

find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.​

Answers

the slope of the line on the graph is 1
Answer: 1
Step by step

the set of all numbers less than or equal to -6 or greater than it equal to -2

Answers

Answer:

Step-by-step explanation:

-6 ≥ x

-2 ≤ x

I don't think you can combine this into one statement.

Your line looks something like

<---------------O                 O------------------------->

                  -6                 -2

Shade in the 2 Os. The shaded in Os  are included in the way the line looks.          

Can someone help with this one? You get 35 points

Answers

Answer:

the answer is d

Step-by-step explanation:

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