State the x-intercept of the function 6x−2y=18

From 1960 to 1970, the consumer price index (CPI) increased from 29.6 to 48.2. If a dozen donuts cost $0.89 in 1960 and the pric

Natalija [7]

Answer:

$19.49‬

Step-by-step explanation:

48.2 - 29.6 = 18.6

18.6 + 0.89 = 19.49

4 0

3 years ago

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-x^2-2x+7<br> Find the vertex

posledela

Hey there!

$Answer:\boxed{(-1,8)}$

$Explanation:$

-x^2 - 2x + 7

To find the vertex, you will rewrite in the vertex form.

f(x) = -(x+1)^2+8

(-1,8)

Hope this helps!

7 0

3 years ago

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a jet bomber traveling 500 mph arrived over its Target at the same time as its fighter jet escorted which left the same fate 2.5

vlada-n [284]

Since the jet bomber arrived over its Target at the same time as its fighter jet escorted, it took the jet bomber 0.34 h to reach the target.

<h3 />

To find the number of hours, we need to solve simultaneous equations.

<h3>What are simultaneous equations?</h3>

Simultaneous equations are pair of equations which contain two unknowns.

<h3>How to calculate the number of hours the bomber jet took off?</h3>

Let

D = distance travelled by both bomber jet and fighter jet.
t = time bomber jet took off
v = speed of bomber jet.
T = time fighter jet took off and
V = speed of fighter jet.

So, D = vt

D = 500t (1)

Also, D = VT

D = 60T (2)

Since jet bomber traveling 500 mph arrived over its Target at the same time as its fighter jet escorted which left the same fate 2.5 hours after the bomb took off.

T = t + 2.5

So, D = 60(t + 2.5) (3)

<h3>The required simultaneous equations</h3>

D = 500t (1)

D = 60(t + 2.5) (3)

Equating equations (1) and (3), we have

500t = 60(t + 2.5)

500t = 60t + 150

500t - 60t = 150

440t = 150

t = 150/440

t = 15/44

t = 0.34 h

So, it took the jet bomber 0.34 hours to reach the target.

Learn more about simultaneous equations here:

brainly.com/question/27829171

#SPJ1

8 0

2 years ago

What is the equation of a line for non proportional relationship? Explain what each part means.

Mekhanik [1.2K]

Answer: $y=mx+b$

Step-by-step explanation:

y=mx+b is the equation for a non-proportional relationship. Essentially, you can use this for a proportional relationship as well, since the y-intercept of a proportional relationship will always be zero. $y$ and $x$ are the variables of the equation, and represent the coordinates of the line. $m$ is the slope of the equation. To find the slope, use rise over run, or the change in y between two points over the change in x between two points. The last part is the y-intercept, or $b$ . This shows when the line intercepts the y-axis.