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3 years ago

6

Translate the sentence into an equation The sum of 6 times a number and 8 equa's 7 Use the variable b for the unknown number 6 -

0

1 answer:

gavmur [86]3 years ago

3 0

Answer:

6b + 8 = 7

Step-by-step explanation:

The proper translation of the sentence is 6b + 8 = 7.

Solving for b, we get 6b = -1 and b = -1/6

How is "6 - 0" part of this problem?

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The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?

bixtya [17]

$\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
\\
\text{let the coordinate of th point C be (x, y), such that}\\
\\
AC:CB=3:7\\
\\
\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}$

$P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
\\
\text{So using this formula, we get for the given problem}\\
\\
C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
\\
\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\
\\
\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\
\\
\Rightarrow C=\left ( -4.1, \ -2.5 \right )$

Coordinates of the point C is: (-4.1, -2.5)

6 0

3 years ago

A scatter plot of data comparing the number of years since Holbrook High

kondor19780726 [428]

$y=\frac{23}{5} x+\frac{26}{5}$

Step-by-step explanation:

Slope intercept form of an equation is written as;

y=mx+b where m is the slope of the line and b is the y-intercept

Given points (3,19) and (8,42) find m as;

m=Δy/Δx

Δy=42-19=23

Δx=8-3=5

m=23/5

Finding the equation of the line where m=23/5, point (3,19) and (x,y)

m=Δy/Δx

23/5=y-19/x-3

cross product

23(x-3) = 5(y-19)

23x-69=5y-95

23x=5y-95+69

23x=5y-26

23x+26=5y

23x/5 +26/5 =5y/5

23/5 x +26/5 =y

⇒⇒ y=23/5x +26/5

Learn More

Slope-intercept form of an equation :brainly.com/question/12005129

Keywords :scatter plot, data, years, line of fit, points

#LearnwithBrainly

3 0

3 years ago

A student raises her grade average from a 75 to a 90. What was the percent of increase

son4ous [18]

This can be solved algebraically. Before we start, as context, to find a percentage you multiply by the percentage/100.

$75*x=90 \\ x= \frac{90}{75} \\ \\ \boxed{x=1.2}$

This tells us that 90 is 120% of 75. However, your question wants us to find the <em>increase</em>, therefore we don't need that 100.
Therefore, the increase is 20%.

4 0

4 years ago

What's the answer please help me!

Andreas93 [3]

Answer:

0.62

Step-by-step explanation:

10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:

1st move: 620 -> 62.0

2nd move: 62.0 -> 6.20

3rd move: 6.20 -> 0.62

6 0

3 years ago

Y=x^2-2x-19 <br> y+4x=5<br><br> solution set system of equation is (-6,29) and ______.

Blababa [14]

Hello :
<span>Y=x²-2x-19 ...(1)
y+4x=5.....(2)
by (2) : y = 5-4x ....(*)
subsct in (1) : 5-4x</span>=x²-2x-19
x²+2x-24 =0
<span>Δ = 2²-4(1)(-24) = 100=10²
x1 = (-2-10)/2 =-6
x2= (-2+10)/2=4
if : x =-6 by(*) : y= 5-4(-6)=29
if x= 4 y = 5-4(4)=-11
</span><span>solution set system of equation is (-6,29) and (4,-11)______.</span>

6 0

3 years ago